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Context 1: Paper Info

Title: Compressed quantum error mitigation
Publish Date: 10 May 2023
Author List: Maurits Tepaske (from Physikalisches Institut, Universität Bonn), David Luitz (from Physikalisches Institut, Universität Bonn)

Figure

FIG 3 The out-of-time-ordered correlator C otoc i=L/2,j (t) as a function of the operator position j and time t, for the infinite temperature initial state, for a denoised second-order Trotter supercircuit with Trotter depth Mtrot = 32 and denoiser depth M = 2 We consider evolution times t = 0 5, 1,    , 5, for the periodic L = 14 Heisenberg chain that is affected by two-qubit depolarizing noise with p = 0 01 
FIG  4  The complex eigenvalues λ of the noisy second-order Trotter supercircuit with Mtrot = 16 at time t = 1 (left), the corresponding optimized denoiser with M = 4 (center), and the denoised Trotter supercircuit (right) The Trotter circuit is for a L = 6 Heisenberg model with PBC, and all twoqubit channels are affected by depolarizing noise with p = 0 0046 The unit circle, on which unitary eigenvalues must lie, is shown in black, and the noiseless eigenvalues are shown as blue bars It is evident that the denoiser recovers all the noiseless eigenvalues from the noisy circuit 
FIG  2  The complex eigenvalues λ of the noisy second-order Trotter supercircuit with Mtrot = 16 at time t = 1 (left), the corresponding optimized denoiser with M = 4 (center), and the denoised Trotter supercircuit (right) The Trotter circuit is for a L = 6 Heisenberg model with PBC, and all twoqubit channels are affected by depolarizing noise with p = 0 036 The unit circle, on which unitary eigenvalues must lie, is shown in black, and the noiseless eigenvalues are shown as blue bars It is clear that the denoiser recovers with high accuracy the noiseless eigenvalues from the noisy circuit 
FIG  3  The half-chain channel entanglement entropy S at different two-qubit depolarizing noise strengths p, for a secondorder Trotter supercircuit with Mtrot = 16 and t = 2, for a M = 4 denoiser The Trotter circuit is for a Heisenberg model with PBC of size L = 6 The different curves correspond to the different supercircuits, i e  the noisy supercircuit, the denoiser, the corresponding denoised supercircuit, and the noiseless variant 
FIG  4  The out-of-time-ordered correlator C otoc i=L/2,j (t) as a function of the operator position j and stacked time t, for the infinite temperature initial state, for a denoised secondorder Trotter supercircuit with Trotter depth Mtrot = 32 and denoiser depth M = 2 It is optimized at t = 2 and stacked up to ten times The calculations are for the periodic L = 14 Heisenberg chain that is affected by two-qubit depolarization with p = 0 01 The denoiser is affected by the same noise 
FIG 6 The distribution of the ZZ angle α of M = 2 denoisers (top panels) and M = 8 denoisers (bottom panels), with the lightest color corresponding to the denoiser for the Trotter supercircuit with t = 0 5, and the darkest color with t = 5 As usual, we consider the Heisenberg model on a periodic chain, and second-order Trotter supercircuits with depths Mtrot = 8, 16, 32, 64, which together with the denoiser is affected by a two-qubit depolarizing noise with p = 0 01 The panels are arranged as Mtrot = 8, 16, 32, 64 for top left, top right, bottom left, bottom right, respectively 
FIG  7  The sampling overhead γ of the optimized denoisers from Fig  2 of the main text, with denoiser depths M = 1, 2, 4, 6, 8 and Trotter depths Mtrot = 8, 16, 32, 64 at times t = 0 5, 1,    , 5, for the Heisenberg model on a chain with PBC affected by two-qubit depolarizing noise with p = 0 01 The panels are arranged as Mtrot = 8, 16, 32, 64 for top left, top right, bottom left, bottom right, respectively 
FIG 8 The domain wall magnetization Z dw after evolving a periodic density wall |dw |dw * with the denoised second-order Trotter supercircuits D C from Fig 2of the main text These supercircuits have various Trotter depths Mtrot = 8, 16, 32, 64, denoiser depths M = 1, 2, 4, 6, 8, and evolution times t = 0 5, 1,    , 5, for the periodic L = 14 Heisenberg chain that is affected by two-qubit depolarizing noise of strength p = 0 01 The denoiser is affected by the same noise The non-denoised results are labelled with M = 0 and the noiseless results with p = 0 The panels are arranged as Mtrot = 8, 16, 32, 64 for top left, top right, bottom left, bottom right, respectively We see that the denoiser allows us to recover the noiseless behavior 

abstract

We introduce a quantum error mitigation technique based on probabilistic error cancellation to eliminate errors which have accumulated during the application of a quantum circuit  Our approach is based on applying an optimal "denoiser" after the action of a noisy circuit and can be performed with an arbitrary number of extra gates 
The denoiser is given by an ensemble of circuits distributed with a quasiprobability distribution  For a simple noise model, we show that efficient, local denoisers can be found, and we demonstrate their effectiveness for the digital quantum simulation of the time evolution of simple spin chains  Introduction 
-Quantum information processing has been theoretically shown to hold great promises, and quantum algorithms were developed which can in principle achieve an exponential speed-up over their classical counterparts, both for general purpose computing and quantum simulation   However, present day quantum computing prototypes still suffer from significant noise processes which hinder the execution of many potentially groundbreaking quantum algorithms  
Nontrivial quantum algorithms typically require large sequences of quantum gates, each of which introduces dissipation and hence an overall loss of coherence, eventually rendering the results useless  Until quantum error correction becomes practical, quantum error mitigation seems to be more feasible to increase the accuracy of expectation values 
Here the goal is to induce the (partial) cancellation of errors that stem from noisy quantum gates by extending the circuit corresponding to the desired algorithm with an ensemble of gates , sampled from a quasiprobability distribution  The traditional way to accomplish this is with the gatewise method from , where noise is mitigated by inverting the noise channel of each gate separately, i e  the cancellation of errors is performed for each gate on its own 
Here the local noise channel is approximated in a way such that it can be easily inverted analytically, e g  using Pauli twirling   Gates are then sampled from the inverted noise channel by interpreting it as a quasiprobability distribution  Because in this gate-wise approach every noisy gate has to be modified separately, the sign problem is exponentially large in the number of gates, limiting the practicality of the mitigation 
The success of the gate-wise approach resulted in a large body of work concerning these methods , including extensions for simultaneous mitigation of multiple gates by Pauli-twirling entire layers or variationally constructing a mitigating matrix product operator   In principle, errors during the execution of a circuit can propagate and accumulate 
These propagated errors * david luitz@uni-bonn de ≈ C

C

FIG  1  An example of the quantum error mitigation procedure used in this work for the time evolution of the wave function of a spin chain  The ideal second-order Trotter supercircuit C of depth Mtrot = 1 (light blue) is approximated by applying a denoiser D of depth M = 1 (red) to the noisy Trotter supercircuit C (dark blue) 
Because the denoiser is applied after fully executing the noisy Trotter supercircuit, it represents an approximate inverse of the global noise channel with a precision tunable by the depth of the denoiser  can potentially blow up and lead to large errors for the circuit as a whole   Here we introduce a mitigation technique that takes into account the propagation of errors, can be performed with a tunable number of extra gates, and works for non-Clifford local noise channels since the inversion of the accumulated global noise channel is implicit 
We first execute the targeted noisy circuit completely, letting the noise propagate and accumulate, and only afterwards we apply an extra random circuit sampled from a quasiprobability distribution  We call the corresponding ensemble of random circuits a denoiser, and we construct it such that upon averaging the accumulated errors cancel 
Essentially, the denoiser inverts a global noise channel  Since we will construct it as a local brickwall circuit, following the classical preprocessing approach from , we call this compressed quantum error mitigation  Method  -Due to the inevitable coupling of a quantum processor to its environment, every qubit operation is affected by noise 
Therefore, the simplest technique to minimize the impact of the resulting noise is to minimize the number of operations when performing a quantum algorithm  In we showed that many-body time evolution operators can be efficiently compressed into brick-wall circuits with high fidelity per gate  In this Letter, we consider the noise explicitly by treating quantum operations as (generally non-unitary) quantum channels, corresponding to completely positive and trace preserving (CPTP) maps  
For example, instead of a noiseless two-qubit gate G, which acts on a quantum state |ρ in superoperator form as G|ρ = G⊗G * |ρ , we get the noisy channel G = N G, where the noise channel N implements the two-qubit noise   These channels are used to construct a "supercircuit" C = N G i=1 Gi , consisting of N G channels, which is affected by multi-qubit accumulated noise 
This supercircuit encodes an ensemble of circuits   For simplicity, we assume that the noisy channels Gi in each half brickwall layer are lattice inversion and translation invariant, such that we can construct a denoiser with these properties, limiting the number of variational parameters  The purpose of quantum error mitigation is to modify the ensemble of circuits described by C in a way that we can use it to obtain the noiseless expectation values 
In superoperator language, we do this by following the supercircuit C with a denoiser supercircuit D, such that D C is as close to the noiseless supercircuit C = C ⊗ C * as possible  Here C is the target unitary circuit  Because the noise channel N is non-unitary, hence making the supercircuit C non-unitary, we need to use a non-unitary denoiser to retrieve the unitary C 
We illustrate the mitigation procedure in Fig  , where a denoiser with one layer is used to mitigate errors for a second-order Trotter supercircuit with one layer  This circuit architecture is commonly used to simulate the time evolution of a quantum many-body system, until some time t, with controllable precision , and we will use it to benchmark the denoiser 
In practice, we cannot directly implement a supercircuit, and so we have to utilize its interpretation as an ensemble of circuits  Essentially, after executing a shot of the noisy circuit we sample the denoiser and apply it  The goal is to construct the denoiser in a way that averaging over many of its samples cancels the accumulated errors and gives us a good approximation of the noiseless expectation values 
It should be noted that our approach requires more gate applications on the quantum processor than with the gate-wise scheme, since there each sample from the mitigation quasiprobability distribution can be absorbed into the original circuit, whereas our approach increases the circuit depth  We take this into account by imposing the same noise on the denoiser 
Furthermore, within our scheme, the dimensionality of the quasiprobabilistic mitigating ensemble can be controlled, in contrast to the gate-wise approach where it is equal to the gate count  To facilitate the stochastic interpretation we parameterize each two-qubit denoiser channel G i as a sum of CPTP maps, such that we can sample the terms in this sum and execute the sampled gate on the quantum processor 
Concretely, we use a trace preserv-ing sum of a unitary and a non-unitary channel  For the unitary part we take a two-qubit unitary channel U( φ i ) = U ( φ i ) ⊗ U * ( φ i ), with U ( φ i ) a two-qubit unitary gate parameterized by φ i   For this we take the two-qubit ZZ rotation exp(−iα(σ z ⊗ σ z )) with angle α, which can be obtained from native gates on current hardware , and dress it with four general one-qubit unitaries, only two of which are independent if we want a circuit that is space inversion symmetric around every bond 
The resulting gate has 7 real parameters φ i   For the non-unitary part, which is essential because D has to cancel the non-unitary accumulated noise to obtain the noiseless unitary circuit, we use a general onequbit measurement followed by conditional preparation channel M( , with V a general one-qubit unitary and each κ i a 3-dimensional vector, resulting in a real 9-dimensional ζ i  
This yields the two-qubit correlated measurement M( With these parts we construct the parameterization with coefficients η i ∈ R that satisfy η 0 + η 1 = 1 because G i is trace preserving  Note that here the tensor product symbol corresponds to combining two one-qubit channels to make a two-qubit channel, whereas in most of the paper it is used to link the column and row indices of a density matrix 
We construct the denoiser from the noisy channels Gi = N G i   With this parameterization one denoiser channel has 17 independent real parameters, such that a denoiser of depth M , i e  consisting of M brickwall layers, has 34M real parameters (we use one unique channel per half brickwall layer)  For reference, a general channel has 544M parameters 
To determine the mitigated expectation values we use the full expression where |ρ 0 is the initial state and |1 is the vectorized identity operator on the full Hilbert space  To evaluate this on a quantum processor, we use the stochastic interpretation of (1) to resample   In particular, from each channel (1) we get a unitary with probability p 0 = |η 0 |/γ and a measurement followed by conditional preparation with probability p 1 = |η 1 |/γ 
Here γ = |η 0 | + |η 1 | is the sampling overhead, which characterizes the magnitude of the sign problem from negative η i   For quasiprobability distributions, i e  with γ > 1, every denoiser sample has an extra sign sgn(η) = N G g=1 sgn(η g ), 2  The normalized distance between the denoised Trotter supercircuit D C and the noiseless Trotter supercircuit C (top panels), at evolution times t = 0 5, 1,    , 5, and the twopoint z-spin correlator C zz i=L/2,j=L/2 (t) of a spin on the middle site at times 0 and t (bottom panels), for the infinite temperature initial state 
We consider denoisers with depths M = 1, 2, 4, 6, 8 and second-order Trotter circuits with depths Mtrot = 16, 32, 64  In the top panels we use a Heisenberg chain with L = 8, and in the bottom panels with L = 14, both with periodic boundary conditions  All gates are affected by two-qubit depolarizing noise with p = 0 01 
The non-denoised results are labelled with M = 0, and the noiseless values with p = 0  where sgn(η g ) is the sign of the sampled coefficient of the gth channel  γ = 1 means that all signs are positive  Observables Ô p=0 for the noiseless circuit are then approximated by resampling the observables from the denoiser ensemble
where γ = N G g=1 γ g is the overall sampling overhead, with γ g the overhead of the gth gate  Clearly, a large γ implies a large variance of Ô p=0 for a given number of samples, with accurate estimation requiring the cancellation of large signed terms  The number of samples required to resolve this cancellation of signs is bounded by Hoeffding's inequality, which states that a sufficient number of samples to estimate Ô p=0 with error δ at probability 1 − ω is bounded by (2γ 2 /δ 2 ) ln(2/ω)  
Since γ scales exponentially in γ g , it is clear that a denoiser with large M and γ 1 will require many samples  We observed that decompositions with γ > 1 are crucial for an accurate denoiser  Restricting to γ = 1 leads to large infidelity and no improvement upon increasing the number of terms in or the depth M of the denoiser 
Simply put, probabilistic error cancellation of gate noise introduces a sign problem and it is crucial to find optimal parameterizations (1) which minimize γ to make the approach scalable  This issue arises in all high performance error mitigation schemes , because the inverse of a physical noise channel is unphysical and cannot be represented as a positive sum over CPTP maps 
This is clearly visible in the spectra of the denoiser, which lies outside the unit circle (cf  Fig  )  This makes the tunability of the number of gates in each denoiser sample a crucial ingredient, which allows control over the sign problem, because we can freely choose the η i in   For the parametrization (1) of denoiser channels, we try to find a set of parameters for error mitigation by minimizing the normalized Frobenius distance between the noiseless and denoised supercircuits
which bounds the distance of output density matrices and becomes zero for perfect denoising  We carry out the minimization of on a classical processor, using gradient descent with the differential programming algorithm from   Instead of explicitly calculating the accumulated global noise channel and subsequently inverting it, we approximate the noiseless supercircuit C with the denoised supercircuit D C, effectively yielding a circuit representation D of the inverse noise channel 
Results  -To benchmark the denoiser we apply it to the second-order Trotter circuits of the spin-1/2 Heisenberg chain with periodic boundary conditions (PBC) where is the Pauli algebra acting on the local Hilbert space of site i  A second-order Trotter circuit for evolution time t with depth M trot consists of M trot − 1 half brickwall layers with time step t/M trot and two layers with half time step  
We consider circuits that are affected by uniform depolarizing noise with probability p for simplicity, but our approach can be used for any non-Clifford noise  The two-qubit noise channel is which acts on neighboring qubits i and i + 1 and is applied to each Trotter and denoiser gate, and p = 0 01 unless stated otherwise 
We study circuits with depths M trot = 16, 32, 64 for evolution times t = 0 5, 1,    , 5, and denoisers D with depths M = 1, 2, 4, 6, 8  In the top panels of Fig  we show (4) for a chain of size L = 8 as a function of time t  Here it can be seen that even for M trot = 32 a denoiser with M = 1 already improves by roughly an order of magnitude at all considered t 
Depending on M trot and t, further increasing M lowers , with the biggest improvements occurring for high precision Trotter circuits with large depth M trot = 64 and short time t = 0 5, where the Trotter gates are closer to the identity than in the other cases  At the other extreme, for M trot = 16 the improvements are relatively small upon increasing M > 2  In all cases the denoiser works better at early times than at late times, again indicating that it is easier to denoise Trotter gates that are relatively close to the identity 
To probe the accuracy of the denoiser on quantities that do not enter the optimization, as a first test we consider the two-point correlator between spins at different times where we have chosen the infinite temperature initial state, and C(t) is the Trotter supercircuit for time t  In the bottom panels of Fig  we show C zz i=L/2,j=L/2 (t) for the supercircuits from the upper panels, now for a L = 14 chain 
Here we see that at M trot = 16 we can retrieve the noiseless values already with M = 1, but that increasing M trot makes this more difficult  At M trot = 64 we see larger deviations, and improvement upon increasing M is less stable, but nonetheless we are able to mitigate errors to a large extent  As a further test, we compute the out-of-time-ordered correlator (OTOC) ]
In Fig  we show the results for i = L/2, for a Trotter circuit with depth M trot = 32 and a denoiser with depth M = 2  Here we see that a denoiser with M M trot is able to recover the light-cone of correlations, which are otherwise buried by the noise  In the Supplementary Material we consider how the denoiser performs at different noise levels p, and how the denoised supercircuits perform under stacking 
There we also calculate domain wall magnetization dynamics, and show the distribution of the optimized denoiser parameters and the sampling overhead associated to the denoiser as a whole  In Fig  we show the eigenvalues of the noisy supercircuits for a noisy second-order Trotter supercircuit with M trot = 16 at t = 1 (left), the corresponding optimized denoiser with M = 4 (center), and the denoised supercircuit (right) 
The eigenvalues λ of a unitary supercircuit lie on the unit circle, and in the presence of dissipation they are pushed to the center  We see that the spectrum of the denoiser lies outside the unit circle, making it an unphysical channel which cures the effect of the noise on the circuit, such that the spectrum of the denoised circuit is pushed back to the unit circle 
The noiseless eigenvalues are shown as blue bars, making it clear that the denoiser is able to recover the noiseless eigenvalues from the noisy circuit  In the Supplementary Material we show the spectra for a p = 0 036 denoiser, where we observe a clustering of eigenvalues reminiscent of Refs    There we also investigate the channel entropy of the various supercircuits  
Conclusion  -We have introduced a probabilistic error cancellation scheme, where a classically determined denoiser mitigates the accumulated noise of a (generally non-Clifford) local noise channel  The required number of mitigation gates, i e  the dimensionality of the corresponding quasiprobability distribution, is tunable and the parameterization of the corresponding channels provides control over the sign problem that is inherent to probabilistic error cancellation 
We have shown that a denoiser with one layer can already significantly mitigate errors for second-order Trotter circuits with up to 64 layers  This effectiveness of low-depth compressed circuits for denoising, in contrast with the noiseless time evolution operator compression from , can be understood from the non-unitarity of the denoiser channels 
In particu-lar, measurements can have non-local effects, since the measurement of a single qubit can reduce some highly entangled state (e g  a GHZ state) to a product state, whereas in unitary circuits the spreading of correlations forms a light-cone  To optimize a denoiser with convenience at L > 8, the optimization can be formulated in terms of matrix product operators or channels , which is convenient because the circuit calculations leading to the normalized distance and its gradient are easily formulated in terms of tensor contractions and singular value decompositions  
This provides one route to a practical denoiser, which is relevant because the targeted noiseless circuit and the accompanying noisy variant in (4) need to be simulated classically, confining the optimization procedure to limited system sizes with an exact treatment or limited entanglement with tensor networks 
Nonetheless, we can use e g  matrix product operators to calculate (4) for some relatively small t, such that the noiseless and denoised supercircuits in (4) have relatively small entanglement, and then stack the final denoised supercircuit on a quantum processor to generate classically intractable states 
Analogously, we can optimize the channels exactly at some classically tractable size and then execute them on a quantum processor with larger size  Both approaches are limited by the light-cone of many-body correlations, as visualized in Fig  , because finite-size effects appear when the light-cone width becomes comparable with system size 
1  The normalized distance (left) and z spin correlator C zz i=L/2,j=L/2 (right), for a second-order Trotter supercircuit of depth Mtrot = 16 for time t = 1, affected by various twoqubit depolarizing errors p  We compare the values obtained with and without a denoiser, i e  M > 0 and M = 0, to the noiseless values (p = 0) 
The denoiser is affected by the same noise as the Trotter circuit  We consider denoisers with depths M = 1, 2, 4, 6, 8, and we use a L = 8 Heisenberg chain with PBC for the normalized distance, while for the correlator we use L = 14  * david luitz@uni-bonn de to observe that even for larger noise strength p, the local observable C zz improves significantly even with denoisers of depth M = 1 
For large noise strengths, we generally see that the optimization of the denoiser becomes difficult, leading to nonmonotonic behavior as a function of p, presumably because we do not find the global optimum of the denoiser  It is interesting to analyze the spectra of the supercircuits considered in this work 
As mentioned in the main text, the spectrum of the ideal, unitary supercircuit C lies on the unit circle  The comparison to this case is therefore instructive  In the main text, we showed an example of the spectra in Fig  for moderate noise strength  Here, we show additional data for stronger noise p = 0 036 in Fig  for a denoiser with M = 4 layers, optimized to mitigate errors for a second-order Trotter supercircuit with M trot = 16 layers at time t = 1 
The eigenvalues λ of the noisy supercircuit C are clustered close to zero, far away from the unit circle (except for λ = 1), showing that the circuit is strongly affected by the noise  To mitigate the impact of the noise, the denoiser consequently has to renormalize the spectrum strongly  If it accurately represents the inverse of the global noise channel, its spectrum has to lie far outside the unit circle, which is the case 
Interestingly, we observe a clustering of eigenvalues which is reminiscent to the spectra found in   By comparison to these works, we suspect that this is due to the local nature of the denoiser, and warrants further investigation  The right panel of Fig  shows the result of the denoiser, pushing the eigenvalues back to the unit circle, nearly with the exact same distribution along the circle as the noiseless eigenvalues (blue bars) 
Due to the strong noise, this is not achieved perfectly, and it is clear that this cannot work in principle if the global noise channel has a zero eigenvalue  The complexity of an operator can be quantified by its operator entanglement entropy   Here we calculate the half-chain channel entanglement entropy S of the noiseless C, noisy C, denoiser D, and denoised D C supercircuits 
We define S as the entanglement entropy of the state that is related to a supercircuit C via the Choi-Jamio lkowski isomorphism, i e  ψ C = χ C /N , where the process matrix χ ab,cd C = C ac,bd is simply a reshaped supercircuit and N ensures normalization  Then we have S = −Tr [ψ C ln ψ C ]  This entropy measure is a particular instance of the "exchange entropy", which characterizes the information exchange between a quantum system and its environment  
In Fig  we plot the various S for a second-order Trotter circuit with M trot = 16 at t = 2, for a denoiser with M = 4, both affected by two-qubit depolarizing noise with p ∈ [10 −3 , 10 −1 ]  The Trotter circuit is for a Heisenberg model with L = 6 and PBC  We see that at large p, the noise destroys entanglement in the noisy supercircuit, and that the denoiser S increases to correct for this, such that the denoised supercircuit recovers the noiseless S 
Here we investigate how denoised supercircuits perform upon repeated application  We optimize the denoiser for a Trotter supercircuit for a fixed evolution time t  Then, to reach later times, we stack the denoised supercircuit n times to approximate the evolution up to time nt: In Fig  we stack a denoised t = 1 supercircuit up to n = 20 times and calculate the correlation function, defined in the main text, for the middle site 
We consider Trotter depths M trot = 8, 16, 32, 64 and denoiser depths M = 1, 2, 4, 6, 8, for a L = 14 Heisenberg chain with p = 0 01 depolarizing two-qubit noise  The noisy results correspond to M = 0 and the noiseless results to p = 0  In Fig  we calculate the OTOC, defined in the main text, with stacked time evolution for a denoised t = 2 supercircuit with M trot = 32 and M = 2, stacked up to ten times 
We see that the stacked supercircuit performs very well, and the additional precision obtained by using deep denoisers (M = 8) pays off for long evolution times, where we see convergence to the exact result (black dashed lines in Fig  ) as a function of M   FIG    The two-point z-spin correlator C zz i=L/2,j=L/2 (t) of a spin on the middle site at times 0 and t, for the infinite temperature initial state, for denoised second-order Trotter supercircuits that are optimized at evolution time t = 1 and then stacked up to twenty times 
We use Trotter depths Mtrot = 8, 16, 32, 64 and denoiser depths M = 1, 2, 4, 6, 8  The calculations were performed for a periodic Heisenberg model with L = 14 and PBC, affected by two-qubit depolarizing noise with strength p = 0 01, which also affects the denoiser  The non-denoised results are labelled with M = 0, and the noiseless results with p = 0 
The panels are arranged as Mtrot = 8, 16, 32, 64 for top left, top right, bottom left, bottom right, respectively  The costliest and most noise-susceptible operation is the two-qubit ZZ rotation with angle α, which is the foundation of the unitary piece in our channel parameterization, defined in the main text 
For completeness, we here present the α angles of the optimized denoisers  The results are shown in Fig  , which contains histograms for the channel count N G versus α  The histograms are stacked, with the lightest color corresponding to the angles of the denoiser at t = 0 5 and the darkest at t = 5  The top four panels are for a denoiser with M = 2 and the bottom four with M = 8 
We consider M trot = 8, 16, 32, 64  We see that in both cases the distribution widens upon increasing M trot , indicating that the unitary channels start deviating more from the identity  Moreover, while the M = 2 denoisers in all cases except M trot = 64 have ZZ contributions close to the identity, this is clearly not the case for M = 8 
For simplicity, we did not focus on obtaining denoisers with the smallest sampling overhead γ, which is required to minimize the sign problem and hence ease the sampling of mitigated quantities  Instead, we let the optimization freely choose the η i in the denoiser parameterization, as defined in the main text 
In Fig  we show the sampling overhead of the denoisers from Fig  of the main text  We see that for M = 1 and M = 2 the sampling overhead is relatively small and uniform across the different t, whereas for M > 2 the optimization sometimes yields a denoiser with large γ and other times with small γ  This could be related to the difference in α distributions from Fig   
The large fluctuations of γ appears to stem from the difficulty in finding optimal deep denoisers, and our optimization procedure likely only finds a local minimum in these cases  Here C(t) is the Trotter supercircuit for time t  In Fig  we show Z dw for the circuits from Fig 
Context 3: '用户指南 * User Guide 02 CN 11 EN * 包装内含 使用前注意事项 快速引导 产品部件详情说明 操作说明 02 02 03 06 08 01 
•本产品支持在系统设置中进行瞳距调节 , 调节时请务必注意，最小瞳距可能会碰触鼻梁。当您佩戴头盔后，您 “显示”中进行手动调节，请注意设置使用不合适的瞳距，可能会引起视觉重影或者眼睛疲劳。 可在“设置” ► •本产品“护眼模式”经德国 TÜV Rheinland 低蓝光认证，通过软件算法降低三色通道中的蓝光量，来达到保护 “护眼” “色彩调节” 眼睛的作用，该模式下画面颜色偏黄，您可根据个人喜好在“设置” 中激活或关闭此功能。 ““显示” ► ► ► 包装内含： VR 头盔 / 手柄 × 2 / 1 5V AA 碱性干电池 × 4/ 眼镜支架 / 遮光鼻托 / 手柄挂绳 × 2 / USB-C 电源适配器 / USB-Cto C 2 0 数据线 / 快速指南 / 用户指南 / 安全与质保指南使用前注意事项 •本产品在开阔的室內环境使用体验最佳，建议至少预留 2×2 米 的空间。使用前请确认身体没有不适且周围环 境安全，特别是佩戴头盔在室内行走移动时，要尽量避免发生意外。 •不建议 12 岁及以下儿童使用本产品，建议将头盔、手柄和配件置于儿童够不到的位置，13 岁以上青少年须在 成人监护下使用，以免发生意外。 •本产品无近视调节功能，近视用户请佩戴眼镜使用并尽量避免近视眼镜被头盔的光学镜片磨伤或刮伤。建议在 使用和收纳时注意防护光学镜片，避免尖锐物体划伤镜片，擦拭清洁时请使用柔软的眼镜布，否则可能划伤镜片， 影响视觉效果。 •长时间使用可能引发轻微的昡晕或者眼疲劳，建议使用 30 分钟后适当休息，可通过眼保健操或观看远处物体缓 解眼疲劳。如果您的身体感到任何不适，请立即停止使用。如果不适持续，请咨询医生。 •当头盔镜片被阳光或紫外线照射时（尤其在户外、阳台、窗台及汽车内存放时），可能导致屏幕出现永久性黄斑。 请尽量避免该情况发生，此种屏幕损坏不在产品的质保范围内。 *本产品最终外观及功能以实物为准，部分地区包装内含物品有所差异，本说明仅供参考。 02 CN
六自由度 VR 体验 本产品可以追踪头盔和手柄前、后、左、右、上、下和旋转的运动状态，您在现实中的肢体运动会实时反映在虚 拟世界中。 由于没有任何线缆的束缚，您在虚拟世界自由探索时请确保游玩区域的安全。 1  建议准备一个整洁安全的体验空间：至少 2×2 米；保持房间明亮，避免在只有单色的墙或大面积玻璃、镜子类 反射物以及许多移动画面和物体的空间中使用。 2  撕下 VR 头盔前端摄像头上的保护膜，并佩戴手柄挂绳。 3  根据开机后的画面提示进行游玩区域的设定。 ❶ 安装电池 按箭头方向拔出电池盖侧边的绝缘纸 快速引导 提示：本产品虚拟的安全区提醒功能，不能完全保证您在设定好的游戏区域中的安全，请时刻注意周围的安全情况。 提示：建议使用 1 5V AA 碱性电池。 按照图示拨动电池盖拨钮打开电池盖更换电池。 03 CN
❷ 手柄开机 ❸ 头盔开机 ❹ 佩戴头盔，调节至清晰舒适的位置 首次开机：拔出绝缘纸，手柄自动开机（蓝灯闪烁） 非首次开机：短按手柄 Home 键开机（蓝灯闪烁） 长按头盔电源键 2 秒（蓝灯常亮） 调节旋钮转动绑带，使后脑垫套在头上，微调绑带长度及佩戴位置至视野清晰 04 提示：近视用户请佩戴眼镜或镜片插件使用，本产品不具备近视调节功能。 CN
❺ 微调顶绑带 微调顶绑带使其受力以减少额头压力 ❻ 瞳 距 调 节 在系统设置：“设置” ► “显示”界面中进行瞳距调节，点击“+”或“-”按钮可微调瞳距直至画面清晰 64mm 请勿 强行 掰动镜 筒，以 免造 成损坏 ！ 请注 意设 置使用 不合适 的瞳 距，可 能 会引起 视 觉重影 或 者眼睛 疲 劳。准 确 的瞳距 设 置有助 于 获得清 晰 的图像 并 减少眼睛 疲劳。 05 CN
产品部件详情说明 头盔状态指示灯 蓝灯常亮：开机进行中或工作状态 黄灯常亮：充电中，电量低于 98% 红灯常亮：充电中，电量低于 20% 绿灯常亮：充电完毕，电量大于 98% 或 充满 蓝灯闪烁：关机进行中 红灯闪烁：电量低于 20% 指示灯熄灭：休眠或关机 06 ① 电源键 开机：长按 2 秒 关机：长按 5 秒 复位：长按 10 秒 开机时，短按休眠 ② ③ ④ ⑤ 状态指示灯 贴脸泡棉 音量键 彩色透视摄像头 使用时请勿遮挡 ⑥ ⑦ ⑧ 顶部绑带 可拆卸 绑带旋钮 环境追踪摄像头 使用时请勿遮挡 ⑨ ⑩ ⑪ USB-C 接口 左 / 右喇叭 距离传感器 佩戴头盔后，系统自动唤醒 摘下头盔后，系统自动休眠 ⑫ ⑬ 眼球追踪摄像头 此功能仅 Pro 版支持 使用时请勿遮挡 面部追踪摄像头 此功能仅 Pro 版支持 使用时请勿遮挡 CN
手柄状态指示灯 熄灭：已连接或者关机 蓝灯常亮：固件升级模式 蓝灯闪烁：连接中 红蓝灯交替慢速闪烁：等待配对 ① ② 摇杆 菜单键 ③ Home 键 开机 : 短按关机 : 长按 6 秒退出应用 : 短按屏幕中心校正 : 长按 1 秒④ ⑤ ⑥ ⑦ 状态指示灯 抓握键 截屏键 扳机键 ⑧ ⑨ 电池盒 打开：拨动拨钮，电池盒弹出 安装：按压直至自动锁紧 追踪光环 使用时请勿遮挡 注：手柄挂绳可按图示将粗绳穿过细绳并锁紧在手柄尾端 07 CN
手柄硬件复位 如果手柄出现按 Home 键和任何按键均无反应或者头盔中虚拟手柄卡死不动的问题可拆装电池重新启动手柄。 近视用户配戴 本设备不具备近视调节功能，头盔可支持佩戴镜框宽度小于 150mm 的大多数标准眼镜。 操作说明 头控模式 未连接手柄的情况下，您可通过转动头部光标及点击头盔音量加减按键进行操作。 切换主控手柄射线 在主控菜单下，短按对应手柄的扳机键可以切换主控手柄的射线。 屏幕中心校正 戴着头盔直视前方，按住手柄 Home 键（或头控模式下头盔上的音量减键）1 秒以上，进行屏幕中心的校正将菜 单拉到当前视野朝向位置。 断开手柄 长按手柄 Home 键直至手柄状态指示灯红灯亮起并伴随振动产生时即可松手，此时手柄关机并断开与头盔的连接。 您无需刻意进行手柄关机操作，在以下状态下手柄会自动关机省电： •头盔进入深度休眠时（摘下头盔后一段时间） •头盔手柄管理界面解绑手柄时 •头盔关机时 添加新手柄 如需添加新手柄（头盔最多可同时连接一对手柄，即左右手柄各一只），或解绑手柄后再次连接 , 可进入“设置” “手 柄”，点击“配对”，同时按住手柄 Home 键和扳机键直至手柄状态指示灯红蓝交替闪烁时即可松开，然后根据 头盔画面提示操作。 ► 休眠 / 唤醒 方式一：摘下头盔一段时间后，系统自动休眠；戴上头盔时，系统自动唤醒。 方式二：短按头盔电源键也可以进行休眠或唤醒操作。 硬件复位 头盔硬件复位 如果头盔出现短按头盔电源键没有反应或头盔的画面卡死等问题，可以长按头盔电源键 10 秒以上重新启动头盔。 08 CN
安装眼镜支架 安装遮光鼻托 如您存在眼镜摩擦光学镜片或者压迫鼻梁的问题，请按照图示安装眼镜支架以增加间隔空间。 您可根据佩戴的舒适度选择是否安装。 如您感觉鼻子处漏光影响体验，请按照图示安装遮光鼻托配件。 由于眼睛空间密闭可能加剧起雾及出汗问题，您可根据喜好选择是否安装。 ❶ 摘下贴脸泡棉 ❷ 将眼镜支架按照图示安装在产品上 ❸ 将贴脸泡棉按照图示安装眼镜支架上 ❶ 摘下贴脸泡棉 ❸ 安装贴脸泡棉❷ 将遮光鼻托按照图示方式安装在贴脸泡棉上 注：按照图示拆卸眼镜支架 09 CN
更换贴脸泡棉 贴脸泡棉多次清洁和长时间使用后会变色和质地变软，您可酌情更换新泡棉。 更换顶绑带 摘下贴脸泡棉 ❸ 安装贴脸泡棉 按照图示捏住顶绑带金属扣，往下压到底然后抽出 ❷ •购买优质热门应用 •畅 聊 社 区， 与 众 多 PICO 玩 家 一起探索 VR 世界 •管理设备更便捷 •参与丰富互动活动 •更多精彩内容等你来发现 ❶ 微 信公 众 号：PICO VR抖音：PICO官 方 旗 舰 店哔 哩 哔 哩：PICO-VR官 方微 博：PICO-VR ❶ ❷ 10 CN
In The Box: VR Headset / 2 Controllers / 4 1 5V AA Alkaline Batteries / Glasses Spacer / Nose Pad / 2 Controller Lan- yards / USB-C Power Adapter / USB-C to C 2 0 Data Cable / Quick Guide / User Guide / Safety and WarrantyGuide Important Health & Safety Notes • This product is designed and intended to be used in an open and safe indoor area, free of anytripping or slipping hazards  To avoid accidents, remain conscious to the potential confines ofyour physical area and respect the boundary of your virtual area whenever you see it  Be sure towear the lanyards when using the Controllers  Make sure that there is enough space around yourhead and body (at least 2 meters by 2 meters) to stretch your arms to avoid damage or injury toyourself, others, and your surroundings  • This product is not recommended for children aged 12 and under  It is recommended to keep headsets,controllers and accessories out of the reach of children  Teenagers aged 13 and over must use it underadult supervision to avoid accidents  • This product is designed to accommodate most prescription glasses  Make sure to wear the VR Headsetin a manner in which the VR Headset lenses do not rub or impair your prescription lenses  • Prolonged use may cause dizziness or eye fatigue  It is recommended to take a break every 30 minutes Try relieving your eyestrain by looking at distant objects  If you feel any discomfort, stop using the prod- uct immediately  If the discomfort persists, seek medical advice • Do not expose the optical lenses to direct sunlight or other strong light sources  Exposure to directsunlight may cause permanent yellow spot damage on the screen  Screen damage caused by sunlightexposure or other strong sources of light is not covered by the warranty  • This product supports interpupillary distance (IPD) adjustment in system settings  When adjusting,please be aware that with the minimum IPD, it may touch the bridge of the nose  You can adjust the IPDaccording to your actual interpupillary distance in "Settings"►"Display"  Please note that using inap- propriate IPD may increase the risk of discomfort  • This product has an “Eye Protection Mode”, certified by TÜV Rheinland (Germany), which can protectyour eyes by reducing blue light in the three color channels using software algorithms  The screen ap- pears yellowish in this mode and you can turn this feature on/off in "Settings"►"Display"►"Color"►“- Eye Protection”  • Protect optical lenses during use and storage to prevent damage, such as scratches or exposure tostrong light or direct sunlight  * Product and packaging are updated regularly, and the functions and contents of the standalone headset may be upgraded in the future Therefore, the content, appearance and functionality listed in this manual and product packaging are subject to change and may notreflect the final product  These instructions are for reference only  * Carefully read this user guide before using the product and share this information with any other users, as it contains important safetyinformation  Keep the user guide as reference for the future  11 EN
6 Degrees of Freedom VR The device can track your translational and rotational movements in all directions (up/down, left/right,forward/backward, pitch, roll, and yaw)  Your movements in the real world will be captured and translatedto what you see in the virtual world when using the appropriate content  Ensure a safe environment before you start your VR experience  1  Clear a safe indoor area of at least 2 meters by 2 meters  Keep the room bright, avoid spaces with main- ly single-colored walls, glass, mirrors, moving pictures or other similar objects  2  Remove the protective film that covers the headset front cameras  Wear the lanyards connected to theControllers  3  Set up your environment by following instructions on the VR Headset screen  Install Batteries ❶Pull the tab to remove the insulating paper  Quick Guide 2 m 2m This product can not guarantee your safety with guardian system, you will need to always pay attention to the surrounding safety  * Note: 1 5V AA alkaline batteries should be used Slide the toggle according to arrow direction toopen the battery case  12 EN
Power on the Controller ❷ First Start: The Controller will start automaticallyafter removing the insulating paper  Others: Short press the Home button for 1second until the status indicator flashes blue Power on the VR Headset ❸ Long press the Power button for 2 seconds untilthe status indicator turns blue Wear Your Headset for a Comfortable Fit and View ❹ Adjust the strap dial to turn the strap so that the back of your head rests on the padding  Fine-tune thelength and position of the strap to give a clear view  * Note: You can use this product with prescription glasses or lenses insert  13 EN
Fine-tune the Top Strap ❺ Fine-tune the head strap to reduce pressure on the forehead  Interpupillary Distance (IPD) Adjustment ❻ In System Setting, go to “Setting” ► “Display” to adjust IPD, tap “+” or “-” button to slightly adjust IPDuntil the picture is clear  14 64mm Please note that inappropriate IPD setting may cause ghosting or eyestrain Accurate IPD setting helps you get a clear imaging and ease eyestrain  EN
Product Details VR Headset Status Indicator Legend Blue: Powered on with battery over 20% Yellow: Charging: Battery is less than 98% Red: Charging: Battery is less than 20% Green: Charging: Battery is more than 98% or charge complete Blue flashing: Shutting down Red flashing: Battery is less than 20% Off: Sleeping or Powered off Power Power on: Long press for 2 seconds Power off: Long press for 5 seconds Hardware reset: Long press for 10 seconds Short press to enter sleep or wake up Status Indicator Face Cushion Volume ① ② ③ ④ ⑤ ⑥ ⑦ ⑧ RGB See Through Camera Do not block during use  Top Strap Removable Strap Dial Tracking Cameras Do not block during use  ⑨ ⑩ ⑪ USB-C Interface Left/Right Speaker Proximity Sensor The system wakes upwhen the VR headset isput on, sleeps when VRheadset is taken off  ⑫ ⑬ Eye Tracking Cameras Pro version only  Do not block during use  Face Tracking Camera Pro version only  Do not block during use  15 EN
Controller Status Indicator Legend Off: Connected or Powered off Blue: Firmware updating in progress Blue flashing: Searching for connection Red and blue flashing alternately: Pairing in progress 16 Joystick Menu ③ ① ② Home Power on: Short pressPower off: Long press for 6 secondsReturn home screen: Short pressScreen recentering: Press for 1 secondStatus Indicator Grip Capture Trigger ④ ⑤ ⑥ ⑦ ⑧ ⑨ Battery Case Open: Slide down the toggle andpop up the battery case  Lock: Push the battery case to lock  Tracking Ring Do not block during use  * Note: Pass the Controller Lanyardthrough the string as shown andlock at the end of the Controller EN
Operating Instructions Headset Control Mode If the Controller is not connected, you can interact with the home screen by moving your head to directthe crosshairs over your intended selection and clicking the Volume Up/Down button on the VR Headset  Switch the pointer of the master Controller In the home screen, short press the Trigger of the corresponding Controller to switch the pointer of themaster Controller  Screen re-centering Wear the VR Headset and look straight ahead, press and hold the Home button of the Controller or VRHeadset ( or the Volume Down button of the VR Headset in head control mode) for more than 1 second tore-center the screen  Disconnect the Controller Press and hold the Home button until the status indicator turns red and the Controller vibrates Controllers will automatically shut down to save power in the following cases:When the VR Headset enters deep sleep (a while after the VR Headset is taken off)When the Controller is unpairedWhen the VR Headset is powered off Add a new Controller If you need to add a new Controller (the VR Headset can only connect one left Controller and one rightController) or reconnect with an unpaired Controller  Go to “Settings” ► “Controller”, click on “Pair” Press and hold the Home button and the Trigger of the Controller at the same time until the red and bluelights of the Controller flashing alternately, and then follow the instructions on the VR Headset screen  Sleep / Wake up Option 1 (Proximity Sensor) Take off VR Headset for automatic sleeping: wear the VR Headset for automat- ic waking up  Option 2 (POWER Button) Press the Power button of the VR Headset for manual sleeping or waking up  Hardware reset VR Headset reset If the visual in the VR Headset freezes, or the VR Headset does not respond after short press the Powerbutton, you can press the Power button of the VR Headset for more than 10 seconds to reboot the VRHeadset  Controller reset If the virtual Controller, the Home button or any buttons of the Controller doesn\'t respond, remove andreinstall the battery case to restart the Controller  The VR Headset Adjustment This device has no myopia adjustment function  The VR Headset allows wearing most standard glasseswith a frame width of less than 150mm  to install Glasses Spacer to increase the space  You can install or not according to your situation  17 EN
Install Glasses Spacer Install Nose Pad If you have glasses collision with headset lens or pressure on the bridge of nose, please follow the pictureto install Glasses Spacer to increase the space  You can install or not according to your situation  If you feel light leaking from your nose, please follow the picture to install Nose Pad to block the light You can consider having it installed at your own discretion  Disassemble the Face Cushion  Install the Glasses Spacer on the Headset  ❸ ❶ ❷ Install the Face Cushion on the Glasses Spacer  Disassemble the Face Cushion  Install the Nose Pad on the Face Cushion  ❶ ❷ Install the Face Cushion on the Headset  ❸ * Note: Disassemble the Glasses Spacer 18 EN
Replace Face Cushion The Face Cushion will have the following phenomena such as color change, surface fluff, soft texture afterlong-term use and repeated cleaning  You can replace a new Face Cushion as needed  Replace Top Strap ❶ ❷ Disassemble the Face Cushion  Pinch the metal buckle of the top strap asshown, press it down and pull it out Install the Face Cushion on  ❸ ❷ ❶ • Purchase high-quality and trending apps • Join PICO Community and explore the VR worldwith other PICO players• Manage your device with ease • Engage in diverse and interactive activities • More exciting features waiting for you 19 EN
'



ground_truth: L = 8 and L = 14.

prompt_front: Now, answer the following question based on the text below, only give me the answer and do not output any other words.

Question: How many people attend the 233rd ACS national meeting?

Read the following text and answer briefly.

Context 2: The major actions taken by the board of directors and council during the national meeting in Chicago were reported in C&EN, April 30 (page 32) 
The Society Committee on Budget & Finance met on Saturday, March 24, to review the society's 2006 financial performance  The society ended 2006 with a net contribution from operations of $12 2 million, on revenues of $424 0 million and expenses of $411 8 million  This was $7 8 million favorable to the approved budget 
After including the results of the Member Insurance Program and new ventures, the society's overall net contribution for 2006 was $11 5 million, which was $7 4 million favorable to the approved budget  The favorable variance was primarily attributable to higher than budgeted electronic services revenue and investment income, as well as expense savings from lower than budgeted health care costs and reduced IT spending  In addition, the society ended the year in compliance with the board-established financial guidelines 
The Society Committee on Education (SOCED) received an update from President Catherine Hunt on the thematic programming featured in Chicago focusing on the sustainability of energy, food, and water  President-Elect Bruce Bursten solicited input from the committee pertaining to the central role of education in his agenda  SOCED received a presentation from the Membership Affairs Committee on its white paper on membership requirements 
Committee members strongly support the proposal to include undergraduates as members of the society, but they requested that financial arrangements be clearly spelled out in the petition to ensure that the highly successful Student Affiliates program remains intact  The committee discussed the Education Division programs that were reviewed in 2006 and those that will be reviewed in 2007, under the auspices of the Program Review Advisory Group  SOCED received an update from the Committee on Professional Training regarding the draft ACS guidelines for approval of bachelor's degree programs in chemistry 
Committee members discussed the report prepared by the Globalization Task Force, focusing on those sections relevant to education  The committee suggested initiatives related to the new ACS strategic plan, including a potential program that would engage retired chemists in the K-12 classroom  SOCED created a task force to consider the role of online, or "virtual," simulations in the chemistry laboratory, recognizing the value of online/virtual experiences as a supplement to, but not a replacement for, hands-on laboratory experiments 
The committee ratified two interim actions taken since the Dec  3, 2006, meeting: to remove the financial restriction of the ACS Petroleum Research Fund (ACS PRF) Supplement for Underrepresented Minority Research Programs (SUMR) and to contact nominators whose nominations for the Volunteer Service Award had expired and to invite them to reactivate their nomination packet for the 2008 Volunteer Service Award 
Acting under delegated authority, the committee voted to accept the recommendations of the ACS Petroleum Research Fund Advisory Board (February 2007 meeting) for funding grants totaling $5 2 million; voted to recommend to the board a screened list of six nominees (due to a two-way tie for fifth place) for the 2008 Priestley Medal; voted to recommend to the board a screened list of five nominees for the 2008 Award for Volunteer Service to ACS; on the recommendation of the ACS Committee on Frasch Foundation Grants, voted to recommend to the board that it recommend to the trustee (US Trust) of the Frasch Foundation 12 grants for research in agricultural chemistry for the period of 2007–12; voted to recommend to the ACS Board of Directors that a new national award be established, the "ACS Award for Affordable Green Chemistry," sponsored by Rohm and Haas; and voted to recommend to the ACS Board of Directors that a new endowment be established, the "Affordable Green Chemistry Endowment Fund," to support the award 
The committee also reviewed the final report from the Special Board Task Force on the Review of the ACS National Awards Program, chaired by Ronald Breslow; established a Canvassing & Selection Subcommittee; and reviewed a list of external awards for which ACS may want to nominate candidates  The committee agreed to include the list of significant external awards in the awards locator database that is being developed 
The committee was updated on efforts to reconcile ACS's technical divisions' desires to leverage national meeting content using the Internet with our journal editors' concerns about prior publication issues  A conference call on this issue was scheduled for April 21, 2007 
The committee received a presentation on the recent actions of the ACS Board of Directors International Strategy Group (ISG)  The group's charge is to develop recommendations for a short- and long-term international strategy for the society 
The committee was updated on the status of the activities of the Board Oversight Group on Leadership Development (BOG)  Potential solutions for the unexpectedly high cost of facilitator training and transitioning from the current Leaders Conference format to the newly designed curriculum were presented to the committee 
The committee reviewed plans for conducting the 2007 Membership Satisfaction Survey  Preliminary results are expected in May or June with a final report to be delivered to the board at the 2007 Boston national meeting 
The committee received a briefing on the status of the MORE Project: Multidisciplinary Opportunities though Resource Enhancement  Twenty-eight proposals were received, and a decision on which proposals to support will be made in early May 
The chair led a discussion on draft 2007 committee goals, and committee members offered several suggestions related to successfully meeting them  One suggestion was to modify a communications goal to make it more completely reflect the duties of the committee outlined in the board regulations  The chair and committee members will examine the suggestion and revisit the question after the board retreat where board committee duties will be examined 
ACS President Hunt discussed her 2007-08 Presidential Task Force on Enhancing Science & Technology, which is charged with developing advocacy best practices that can enhance ACS's attainment of its public policy priorities  The task force is composed of a diverse set of ACS members as well as former U S  Representative and chairman of the House Science Committee, Sherwood Boehlert, who will cochair the task force 
• Results of the 2007 Public Policy Priorities Survey, which resulted in a four-tiered ranking of ACS's 2007 public policies  The ranking will help focus staff resources in conducting outreach and advocacy on behalf of ACS members 
• The hiring of a communications consulting firm for 2007 to assist ACS in implementing the initial phase of the ACS Strategic Communications Plan 
• Creation of a pilot ACS state government affairs advocacy program  Committee members agreed to the creation of a pilot, and staff will propose an initial list of states, policy focus, and a budget to carry out the program 
The committee met in executive session on March 23 and in open session jointly with the Joint Board-Council Committee on Publications and the Division of Chemical Information on March 26 
The committee heard from Chemical Abstracts Service (CAS) management on a range of issues including a report on continuing database building efforts, product enhancements, and CAS's centennial celebration plans 
The Committee on Chemical Safety (CCS) provides advice on the handling of chemicals and seeks to ensure safe facilities, designs, and operations by calling attention to potential hazards and stimulating education in safe practices 
CCS has several publications (many downloadable), including the flagship publication, "Safety in Academic Chemistry Labs" (SACL)  Work has recently started on the translation of SACL into Arabic  This is in addition to the online Spanish version of SACL  Also online are the "Student Lab Code of Conduct for Secondary Science Programs" and a security vulnerability analysis checklist  A K-12 restricted hazardous substances list is under development  The third edition of the "Chemical Safety Manual for Small Businesses" will be ready soon 
The committee's Task Force on Laboratory Environment, Health & Safety is working on a new edition of "Laboratory Waste Management " Task force members also commented on the recent Environmental Protection Agency Proposed Rule for Hazardous Waste in Academic Laboratories  Our Video Safety Resources Task Force is developing video resources to be distributed over the Web 
CCS has been involved in collaborations for the updating of publications like "Prudent Practices in the Laboratory" and "ACS Guidelines for the Teaching of High School Chemistry " Along with other ACS units, CCS is exploring participating in the EPA's School Chemicals Cleanout Campaign 
The Committee on Chemists with Disabilities (CWD) met at the 233rd ACS national meeting, Chicago, on Monday, March 26  Judy Summers-Gates reported on the Joint Subcommittee on Diversity meeting  This subcommittee is made up of representatives of the five committees that support people in chemistry (as opposed to a category of the profession): CWD, Committee on Minority Affairs, Committee on Technician Affairs, Women Chemists Committee, and Younger Chemists Committee, and its goal is to develop ways to coordinate the efforts of the five groups 
The CWD Ambassador Program that was announced at CWD's 25th anniversary celebration at the Washington, D C , meeting was discussed  Zelda Wasserman reported on the status of the letter from CWD to the ACS Board regarding captioning of ACS video materials  Janelle Kasper-Wolf, of ACS staff, discussed adding new questions to the ACS annual employment salary survey to obtain information for the committee 
At the Chicago national meeting, the Committee on Community Activities (CCA) partnered with the ACS Education Division and the Office of the President to host "Chemistry In Action—It's Easy Being Green" at the Peggy Notebaert Nature Museum on Saturday, March 24  More than 250 children participated in the hands-on activities focused on recycling  ACS President Hunt presented a Salutes to Excellence plaque to the museum for its dedication to community outreach 
The Chemists Celebrate Earth Day celebration occurred in 120 local sections with 138 coordinators leading the efforts within their communities  This represents an increase of more than 30% in local section and coordinator participation from 2006 
CCA was featured in C&EN's April 16th issue on page 53  A shortcut to CCA's homepage was created: chemistry org/committees/cca html 
During the Boston national meeting, CCA and the Office of Community Activities will celebrate National Chemistry Week's 20th Anniversary and its theme, "The Many Faces of Chemistry " A special outreach event is being planned for Sunday, Aug  19  Hands-on activities will focus on health and wellness 
The Committee on Corporation Associates (CCA) advises and influences ACS to ensure that its products and services are of value to industrial members and their companies  CCA vice chair, Roslyn White (SC Johnson), provided an overview of recent interactions between Corporation Associates and the U K -based Society of Chemical Industry (SCI) 
CCA gave feedback to a recommendations report from the ACS Board Committee on Professional & Member Relations Task Force on Globalization  Presentations were also received from the ACS Green Chemistry Institute and SCI 
Staff reported on the Department of Industry Member Programs' activities since the San Francisco meeting  The report covered the Regional Industrial Innovation Awards, the World Congress on Industrial Biotechnology, the Analytical Pavilion sponsored by C&EN, and the ACS/Pharma Leaders Meeting 
The Awards/Finance & Grants Subcommittee reported that CCA received two funding proposals that total $7,500  Funding was provided to the following: The Committee on Economic & Professional Affairs at $3,000 for the Chicago symposium on "Benefits Trends for the Chemical Workforce" and the Office of Graduate Education and the Department of Career Development & Management at $4,500 for a workshop on "Preparing for Life after Graduate School," to be held in conjunction with the 39th Central Regional Meeting 
The subcommittee also requested that ACS staff provide CCA with an official annual statement of Corporation Associates' financial reserves as of Jan  1 of each year 
The Programs Subcommittee reported on planned programming activities in 2007 and beyond between CCA and SCI  The subcommittee gave an update on a Boston symposium cosponsored by Corporation Associates and the Medicinal Chemistry Division featuring past ACS Heroes of Chemistry from the pharmaceutical industry 
By request of the subcommittee, representatives from Chemical Abstracts Service gave an overview on AnaVist—a tool with potential applications for CCA's efforts to provide member companies with industry-relevant information and reports  The subcommittee also requested that CCA earmark approximately $20,000 of Corporation Associates funds in 2008 for its activities 
The Educational Outreach Subcommittee reported on its decision to collaborate with the Graduate Student Symposium Programming Committee of the Chemical Education Division on a graduate student industry roundtable program in Boston 
The subcommittee requested $5,000 in support of this effort  The subcommittee also discussed a request for corporate executive support of an American Association of Physics Teachers initiative to promote undergraduate research 
The Committee on Environmental Improvement (CEI) continues to be focused on the sustainability of the chemical enterprise  In Chicago, the committee introduced a multiyear effort to make ACS meetings more sustainable  This effort is designed to take advantage of the large size and diverse programs of the society to lead in the sustainability arena by "walking the talk "
The committee held a dialogue with representatives of the U S  Environmental Protection Agency who are trying to "green" federal conferences and work with the travel and tourism industry to change practices and shrink the environmental footprint of meetings  The committee also used advertising and student volunteers to engage individual meeting participants in a campaign to increase recycling by asking "Are you sustainable?" Moving forward, CEI looks forward to working closely with the Committee on Meetings & Expositions to advance this agenda 
CEI was also pleased to participate in the meeting theme on sustainability through the ACS presidential programming  CEI cohosted the Monday presidential luncheon to discuss sustainability issues with the Committee on Science and is leading the follow-up to that luncheon, which will include recommendations on advancing sustainability in the three focal areas of the meeting—energy, food, and water 
The committee also continued its dialogue with the Committee on Corporation Associates about a collaborative workshop  This activity, tentatively slated for the New Orleans meeting, will seek additional insights from chemical and allied products companies about public policy barriers that limit adoption of more sustainable products and practices as well as policy incentives that would lead to increased sustainability in the chemical enterprise 
At its Chicago meeting, the committee welcomed the president of the Jordanian Chemical Society and the past-president of the Arab Union of Chemists 
The committee was briefed on Pittcon 2007, where, with financial support from the Society of Analytical Chemists of Pittsburgh, ACS coordinated participation of a scientific delegation from Adriatic nations 
The committee heard reports on the 2007 Frontiers of Chemical Science III: Research & Education in the Middle East meeting; the 2007 Transatlantic Frontiers of Chemistry meeting, which was jointly sponsored by ACS, the German Chemical Society, and the Royal Society of Chemistry; planned workshops to engage U S  and Chinese early-career scientists in chemical biology, supramolecular, and new materials chemistry; and ACS Discovery Corps U S /Brazil Research Collaboration Project in Biomass Conversion to Biofuels, Biomaterials & Chemicals 
The committee discussed Latin American engagement opportunities created through Puerto Rico's involvement in three key chemical science events there: the 2009 ACS Southeast Regional Meeting, the 2008 Federation of Latin American Chemical Associations (FLAQ) meeting, and the proposed IUPAC 2011 Congress & General Assembly 
The committee heard reports on letter-writing efforts by the ACS president to government officials in Libya and Mexico expressing concerns about challenges to the scientific freedom and human rights of scientists there 
The Committee on Minority Affairs (CMA) approved new vision, mission, and values statements at the Chicago national meeting  The mission of CMA is to increase the participation of minority chemical scientists and influence policy on behalf of minorities in ACS and the chemical enterprise 
An aggressive new strategic plan was approved by CMA to guide its activities over the next three years  By the end of 2009, CMA will increase the number of ACS Scholars that graduate to 100 per year, add 100 new minorities to leadership positions in ACS, engage in several collaborations, and increase the number of minority members of ACS by 5,000  CMA will focus initially on increasing minorities in ACS leadership  In working toward this goal, CMA began work on two new leadership-development programs for minority chemists 
CMA continues to support the work of the Joint Subcommittee on Diversity (JSD) in developing programs, products, and services to ensure full participation of all members in ACS  In Chicago, JSD premiered a diversity booth at the meeting exposition hall and cosponsored symposia 
The Committee on Patents & Related Matters (CPRM) discussed proposed legislative and regulatory changes to the U S  patent system as well as open-access legislation and the potential effects such matters might have on industry and academia as well as on ACS 
CPRM also continued its work on several new educational tools to assist and inform members on patent issues and other intellectual property matters important to a successful career in the chemical enterprise  Many of these tools are now available on the committee's expanded website, membership acs org/C/CPRM/ 
At the March 2007 meeting, the Committee on Professional Training (CPT) reviewed 42 new and additional information reports from ACS-approved chemistry programs  CPT held conferences with four schools seeking approval, discussed three updates and five site visit reports, and approved three new schools  The total number of ACS-approved chemistry programs is now 642 
The committee released the full draft of the ACS guidelines for review and comment  Copies of the draft were distributed to the department chairs at all ACS-approved schools, the chairs of all ACS committees, and the chairs of all ACS technical divisions 
Several CPT members met with the ACS technical divisions during the Chicago meeting to present an overview of the draft and obtain feedback  The draft guidelines document is available on the CPT website, and the committee invites any comments to be sent to cpt@acs org 
In other business, the committee continued development of the two workshops with minority-serving institutions that will be held in 2007  The committee reviewed the editorial policies for the 2007 edition of the ACS Directory of Graduate Research, which is using a new protocol for retrieving research publication titles in an effort to improve the accuracy of the directory 
C&EN finished 2006 with an exceptionally strong editorial package  The first months of 2007 are proving to be equally successful in fulfilling the magazine's mission of keeping its readers informed  On the advertising side, revenues in 2006 increased for the second year in a row, and the early months of 2007 show continuing positive signs  The most significant editorial achievement was the successful launch of the redesign of the print edition of C&EN with the Oct  16, 2006, issue 
The Subcommittee on Copyright has successfully updated the Copyright Module on the ACS Publications website  The subcommittee is looking into the possibility of conducting copyright programs at future ACS national and regional meetings 
The final monitoring reports for Chemistry of Materials, Journal of Agricultural & Food Chemistry, and Molecular Pharmaceutics were presented and accepted by the committee  Journal of Chemical Information & Modeling, Organic Letters, Accounts of Chemical Research, and the Journal of Chemical Theory & Computation will be monitored next 
3  Examining the scientific basis of public policies related to the chemical sciences and making recommendations to the appropriate ACS units 
In the first of these areas, ComSci partnered with President Hunt and the Committee on Environmental Improvement in planning and hosting a sustainability luncheon that featured roundtable discussions centering on a key sustainability question  At the Boston national meeting, ComSci will deliver a full-day program on the subject of "Partnerships in Innovation & Competitiveness "
Regarding the second thrust, ComSci will present two programs in Boston: a box lunch that will feature two speakers taking opposing sides on the subject of "Genetic Screening & Diagnostic Testing: Do You Really Want to Know?" and a symposium titled "Creating & Sustaining International Research Collaborations "
In support of the last thrust, ComSci is planning two events for 2008: "Balancing Security & Openness" will gather data to determine if the recent emphasis on security is hindering scientific progress and "Transitioning Chemical Science to Commercially Successful Products "
The Women Chemists Committee (WCC) hosted more than 70 attendees at its open meeting recently in Chicago, where representatives from Iota Sigma Pi, Women in Science & Engineering, the Association of Women in Science, and the Chicago local section helped WCC celebrate the committee's 80th anniversary 
The Women in Industry Breakfast was also highly successful with a new format of speed networking  More than 100 participants had the opportunity to practice their elevator speeches and make several professional connections  A related workshop will be offered by WCC in Boston 
In Chicago, WCC sponsored two symposia, "Women Achieving Success: The ACS as a Platform in Leadership Development" in honor of Madeleine Joullié's 80th birthday and the ACS Award for Encouraging Women into Careers in the Chemical Sciences: Symposium in Honor of Bojan H  Jennings 
More than 225 ACS meeting attendees were present for the biannual WCC Luncheon and heard the keynote speaker Laura Kiessling, 2007 Francis P  Garvan-John Olin Medal Recipient  Twelve women presented their research at this meeting with funding by the WCC/Eli Lilly Travel Grant Award  WCC members also spent time educating expo attendees on programs offered by the ACS Office of Diversity Programs at its new booth 
In Chicago, the Younger Chemists Committee (YCC) welcomed its new committee members with an information session centered on YCC's charter as well as on its strategic plan: to make ACS relevant to younger chemists, to involve younger chemists in all levels of the society, and to integrate younger chemists into the profession 
In January, YCC again hosted a Leadership Development Workshop during the ACS Leaders Conference  There were more than 80 applications for the 15 awards, which covered travel and registration for the conference  YCC plans to again fund the travel awards and provide leadership training for young chemists in 2008  YCC also solicited applications and selected a new graduate student representative on the Graduate Education Advisory Board 
During the Chicago meeting, YCC programs included "Starting a Successful Research Program at a Predominantly Undergraduate Institution," "Career Experiences at the Interface of Chemistry & Biology," and "Chemistry Pedagogy 101 "
In addition to these programs, YCC cosponsored five programs with various committees and divisions  YCC continues to reach out to ACS committees and divisions and has initiated liaisonships with 11 technical divisions to encourage technical programming that highlights the contributions of younger chemists  Looking forward to Boston, YCC is planning symposia including "The Many Faces of Chemistry: International Opportunities for Chemists"; "Being a Responsible Chemist: Ethics, Politics & Policy"; and "Changing Landscapes of the Bio-Pharma Industry "
The Committee on Committees (ConC) conducted its annual training session for new national committee chairs at the ACS Leaders Conference in January 2007  ConC's interactive session for committee chairs in Chicago served as an opportune follow-on and a forum for informative interchange among seasoned and new chairs 
ConC began developing its recommendations for the 2008 committee chair appointments for consideration by the president-elect and chair of the board  ConC continues to focus efforts to identify members with the skills and expertise specified by the committee chairs using the councilor preference form 
The form will be sent to councilors in May  ConC also seeks the names of noncouncilor members for consideration for service on council-related committees, especially those with no prior appointment 
As part of ongoing activities with the joint CPC-Board Governance Review Task Force, ConC has collected data on committee liaisons to other committees  This information will be distributed to committee chairs  The number of liaisons indicates that unofficial but strong communication channels exist within the ACS committee structure 
On Sunday evening, the Committee on Nominations & Elections (N&E) sponsored its fifth successful Town Hall Meeting for President-Elect Nominees  An estimated 200 people attended this session  This forum facilitated communication among the 2008 president-elect nominees, councilors, and other members  N&E will hold another Town Hall Meeting featuring the candidates for director-at-large at the fall meeting in Boston 
Now that voting over the Internet has become an accepted procedure for ACS national elections, the ACS technical divisions and local sections have expressed strong interest in using this method for their elections  N&E has developed protocols for elections for local sections and divisions  This document will be forwarded to the appropriate committees for their review and distribution 
N&E is responsible for reviewing annually the distribution of member populations within the six electoral districts to ensure that the districts have equitable representation  According to bylaw V, section 4(a), the member population of each electoral district must be within 10% of the result of dividing by six the number of members whose addresses lie within these districts  The committee is happy to report that the six electoral districts are in compliance 
The committee has developed a petition on election procedures for president-elect and district director  The proposed election mechanism provides for a preferential (ranked) ballot and an "instant runoff " N&E continues to address the areas of campaigning and the timing of our national election process  Between the Chicago and Boston meetings, the committee plans to sponsor online forums for input from councilors and other interested members on these issues 
In response to member concerns regarding the collection of signatures for petition candidates, N&E reviewed the society's bylaws  The bylaws state that an endorsement is required, but does not stipulate the method of endorsement  N&E has determined that original or electronic signatures are acceptable and will establish appropriate procedures for receipt of electronic signatures 
The Committee on Constitution & Bylaws (C&B), acting for the council, issued new certified bylaws to the Corning Section, the Portland Section, the Division of Colloid & Surface Chemistry, and the Division of Chemical Education  The committee reviewed new proposed amendments for the Division of Medicinal Chemistry, the Columbus Section, the Detroit Section, and the Southern Arizona Section 
Three petitions were presented to council for action at this meeting  Regarding the "Petition on Election Procedures 2006," a motion to separate the petition was approved, and the petition was divided  Provisions affecting bylaw V, sec  2d, bylaw V, sec  3c, and bylaw V, sec  4f, which deal with election procedures and the timing of run-off elections, were approved by council and will become effective following confirmation by the board of directors 
The second part of the petition regarding bylaw V, sec  2c, and bylaw V, sec  3b, which deal with signature requirements for petition candidates for president-elect and director-at-large respectively, was recommitted to the Committee on Nominations & Elections, which has primary substantive responsibility for the petition 
The Committee on Nominations & Elections was asked to reconsider the signature requirements, procedures for acceptance of electronic signatures, and recommendations from the Governance Review Task Force on election procedures 
The second petition presented to council for action was the "Petition on Rules for Nominating Members of N&E for National Offices " This petition was not approved by council  The third petition, the "Petition on Multiyear Dues," was amended by incidental motion on the council floor, calling for the petition to become effective when technical components are instituted to track payments, but no later than Jan  1, 2010  Council approved the incidental motion and then approved the petition 
The committee reviewed one petition for consideration, the "Petition on Local Section Affiliations," which will be submitted to council for action at the fall 2007 meeting in Boston 
The committee met with representatives of the Committee on Membership Affairs and the Governance Review Task Force to continue discussions on proposals currently being formulated on membership requirements and student membership  In addition, the committee discussed election issues of concern to the Southern California Section 
We hope you enjoyed the presidential and division thematic program, "Sustainability of Energy, Food & Water" in Chicago  A small, dedicated group of volunteers and staff labored tirelessly to create and coordinate this programming; to them the Committee on Divisional Activities (DAC) offers sincere thanks 
DAC has committed to transfer the process of choosing and organizing future national meeting themes to a body that represents all divisions  We made substantial progress in Chicago, where division, secretariat, and committee representatives convened to discuss national meeting program concepts  They proposed themes for the 2008 Philadelphia national meeting as well as a framework for a future national programming group 
Divisions have successfully served their members fortunate enough to attend national meetings  To maximize benefits to division members, DAC encourages divisions to consider extending the reach of the content they deliver at national meetings through Internet-based distribution channels and will support worthy efforts in this direction via Innovative Program Grants 
The committee voted in Chicago to propose modifications to the division funding formula that will more greatly reward interdisciplinary programming  The new formula will also be simpler and more transparent to divisions  DAC will present the revised plan to council for action in Boston 
The Committee on Economic & Professional Affairs (CEPA), working with ACS staff in the Departments of Career Management & Development and Member Research & Technology, continues to update and implement its strategic plan to address the career needs of society members 
Specifically, the committee reviewed and revised existing workshops and materials to help ACS members get jobs  CEPA is developing new programs to address the needs of mid- and late-career chemists to ensure their continued competitiveness in the workplace and to ease their career transitions  New initiatives in these areas include the development of workshops, online training, surveys to assess member needs, suggested changes to public policies, and updates to professional and ethical workplace guidelines  As a result of discussions at the Public Policy Roundtable, which was held in San Francisco, a background paper is being developed on trends in health care issues 
The newly revised "Chemical Professional's Code of Conduct" was presented to council, which approved it  The Standards & Ethics Subcommittee is preparing a revision of the "Academic Professional Guidelines" to be presented to council for consideration in Boston 
CEPA reviewed the Globalization Task Force Report  As our science diffuses around the globe, we want to make sure that our members are aware of the economic and professional challenges they will face and that they have the tools they need to succeed  Therefore, CEPA made a commitment to work with other committees, divisions, and ACS staff to develop programs and policies that position our membership to compete in the global workforce 
CEPA heard and discussed a presentation on the proposal from the Membership Affairs Committee on broadening the requirements of membership  CEPA supports the spirit of this proposal and encourages further detailed studies to assess financial impacts on local sections and student affiliates chapters 
The Local Section Activities Committee (LSAC) recognized local sections celebrating significant anniversaries in 2007, including Savannah River (50 years), Northeast Tennessee (75 years), and the St  Louis and Syracuse local sections (both celebrating 100 years) 
LSAC hosted the local section leaders track in conjunction with the ACS Leaders Conference in Baltimore on Jan  26–28  A total of 135 delegates from 124 local sections participated in the weekend leadership conference 
LSAC also hosted a Local Section Summit on March 2–4 in Arlington, Va  The summit focused on practical operational issues that will support local sections' long-term success  Specific areas that were discussed include the development of a multiyear plan to expand or develop programming for local sections, opportunities to encourage innovation and experimentation within and among local sections, and capitalizing on existing opportunities to facilitate partnerships between local sections and other ACS groups 
Following the San Francisco national meeting, LSAC launched a local section Science Café minigrant program  Fifty-five local sections accepted LSAC invitation to host Science Cafés in 2007 
A DVD entitled "ACS Close to Home: Local Sections Connecting Chemistry & the Community" was released earlier this year  The video provides a seven-minute overview of the many outreach and educational programs sponsored by local sections and the critical role they play in positively influencing the public's perception of chemistry and its practitioners  Copies of the DVD were sent to all local section officers 
The Committee on Meetings & Expositions (M&E) reported that the 233rd ACS national meeting hosted 14,520 attendees  This included 7,152 chemical scientists, 5,059 students, 1,283 exhibitors, 119 precollege teachers, 573 exposition visitors, and 453 guests  The exposition had 424 booths with 268 companies 
The 10 2006 regional meetings set a new standard for excellence with attendance exceeding 8,000, a 30% increase in average meeting attendance compared to the 2005 meetings  A total of 4,717 abstracts were submitted  A region summit was held in February at which the final report of the ReACT study group was reviewed 
The practice of tracking the number of presenter no-shows continues  M&E will collaborate with the Committee on Divisional Activities to study options for addressing this problem  Suggestions will be presented at the Boston meeting for implementation in 2008 
It is the intent of M&E to pursue the goal of making our meetings "greener " We will communicate with staff and governance units to identify actions for both the short and long term 
The American Institute of Chemical Engineers (AIChE) and ACS will hold their 2008 spring meetings simultaneously in New Orleans  An ad hoc working group consisting of members from M&E, DAC, and AIChE are actively exploring joint programming opportunities for this meeting 
The Committee on Membership Affairs (MAC) met in executive session on Saturday and Sunday in Chicago and reported that the ACS closed 2006 with 160,491 members, our highest year-end membership count since 2002  Of the 17,857 applications processed in 2006, more than 1,000 came from the Member-Get-a-Member campaign in which many councilors participated  The society's retention rate in 2006 remained strong at 92%  The committee also reported that recruitment for the first two months of 2007 netted 2,844 new applications—729 more than for the same time period last year 
MAC continues to work with deliberate speed on the proposed new bylaw language for members, student members, and society affiliates-the three ways to connect to the society  The committee received input from the Governance Review Task Force and its action teams, the Council Policy Committee, the board of directors, the Committee on Constitution & Bylaws, and several other committees between the San Francisco and Chicago meetings  These interactions have resulted in the current bylaw change recommendations 
In Chicago, representatives from MAC attended several committee meetings and all seven councilor caucuses to summarize the current proposal for membership changes, answer questions, and seek input  In addition, all committee chairs were invited to have their respective committees review these bylaw changes and respond to MAC—if possible—before council met on Wednesday  MAC received 11 responses: eight supported the proposed changes as is, and three supported the proposed language with specified changes or considerations 
The comprehensive petition will likely represent the most significant and voluminous change in the ACS bylaws that has occurred in decades, and MAC is proud to be among the leaders in its development and in efforts to get it right the first time  Hundreds of individuals have contributed to this major effort, since MAC began such discussions at the spring 2004 national meeting 
The Committee on Ethics met in Chicago and discussed the possibility of organizing and scheduling a committee retreat in the near future to enable the committee to move from the current stage of exploring the needs and interests of ACS members to setting priorities for the next few years 
The Project SEED program offers summer research opportunities for high school students from economically disadvantaged families  Since its inception in 1968, the program has had a significant impact on the lives of more than 8,400 students  At the selection meeting in March, the committee approved research projects for 340 SEED I students and 98 SEED II students for this summer in more than 100 institutions 
The 2006 annual assessment surveys from 300 students indicate that 78% of the Project SEED participants are planning to major in a chemistry-related science, and 66% aspire to continue to graduate education  This program is made possible by contributions from industry, academia, local sections, ACS friends and members, the ACS Petroleum Research Fund, and the Project SEED Endowment 
The committee formally submitted a request to ConC to amend the Project SEED acronym and the committee duties described in the Supplementary Information of the "ACS Charter, Constitution, Bylaws & Regulations "
In Chicago, the committee's agenda focused on the ACS Strategic Plan and how Project SEED fits into it, the Program Review Advisory Group (PRAG) review of the Project SEED program, the committee's review of an online application form, and planning of the 40th anniversary celebration to be held at the Philadelphia meeting in the fall of 2008  The committee selected a task force to review the criteria for selection of the Project SEED ChemLuminary Award 
3  Making ACS relevant to technicians 
Last year, CTA, along with the Division of Chemical Technicians, the Committee on Economic & Professional Affairs, and ChemTechLinks, started the Equipping the 2015 Chemical Technology Workforce initiative  This year, the initiative awarded six $500 minigrants to activities and programs that support the educational and professional development of chemical technicians 
We are pleased to announce that the winners of the minigrants are the ACS Division of Environmental Chemistry; the Chemical Technician Program Chair for the 39th ACS Central Regional Meeting in Covington, Ky ; Delta College, University Center, Mich ; Grand Rapids Community College, in Michigan; Mount San Antonio College, Walnut, Calif ; and Southwestern College in Chula Vista, Calif 
The winners are collaborating with industry, academia, and ACS local sections on such activities as chemical technology career fairs for high school students, discussion panels on employability skills for technicians, and technical programming at regional and national meetings on the vital role technicians have in the chemical enterprise 
Because of the enthusiastic response to the minigrants, Equipping the 2015 Chemical Technology Workforce will be supporting another round of minigrants to be distributed in the fall  Details will be available on the website  For more information, go to www ChemTechLinks org and click on "Equipping the 2015 Chemical Technology Workforce "
CTA has also joined with the Joint Subcommittee on Diversity, formerly known as the Collaboration of Committees Working Group  Because this group is focused on increasing diversity in ACS and the chemical enterprise, we believe that this is an opportunity to raise awareness of the value of technicians  CTA looks forward to collaborating on the promotion of traditionally underrepresented chemical professionals 
In 2007, CTA will be placing renewed focus on distribution of the ACS Chemical Technology Student Recognition Award  The award recognizes academic excellence in students preparing for careers as chemical technicians  For more information on the award, please visit the CTA website at chemistry org/committees/cta 



ground_truth: There are 14,520 attendees, including 7,152 chemical scientists, 5,059 students, 1,283 exhibitors, 119 precollege teachers, 573 exposition visitors, and 453 guests.

prompt_front: Now, answer the following question based on the text below, only give me the answer and do not output any other words.

Question: What may happen if the VR headset lenses are exposed to sunlight or strong light?

Read the following text and answer briefly.

Context 4: [49]
In the spring of 1774, William Hewson died unexpectedly of septicemia two weeks after cutting himself while dissecting a cadaver  Polly was left to care for their two young sons and was pregnant with a daughter she would give birth to in August of the same year  Is it possible that Margaret and Benjamin moved back into No  27 to assist Polly after the death of her husband as suggested in The Americanization of Benjamin Franklin?[50]
If the Westminster Rate Books are to be believed, the answer is no  For the year 1774, the Rate Books list Margaret Stevenson at No  1 and William Hewson at No  27  For the year 1775, they list Margaret Stevenson at No  1 and Magnus Falkner (Falconer/Falconar) at No  27  Magnus was William’s assistant at the anatomy school and fiancé to William’s sister, Dorothy  On his death bed, William instructed Polly, “let Mr  Falconar be my successor ”[51] Magnus would immediately take over the running of the anatomy school and continue William’s unfinished research  Four months later, he and Dorothy would marry [52] Essentially only two things changed at 27 Craven Street after William’s death: Polly gave birth to her daughter, and Magnus replaced William as the lease holder, so even if Margaret and Benjamin had wished to move back into No  27, there would have been no room for them  It is also interesting to note that considering the multiple times Benjamin wrote of his move out of No  27 (and complained of it), he never once mentioned moving back into No  27 in any of his correspondence after Mr  Hewson’s death 
Figure 6  No  36 Craven Street  (Photo courtesy of David Ross, britainexpress com)
In sum, based on the Westminster Rate Books[53] and Franklin’s correspondence, Mrs  Stevenson is known to have resided at No  27 (36) Craven Street from 1748 to 1772  It follows that, aside from the two years Franklin spent in Philadelphia from 1762 to 1764, he resided there from 1757 to 1772  Franklin’s correspondence also reveals that in the autumn of 1772, he and Mrs  Stevenson moved to another house on Craven Street  The 1773 Westminster Rate Books show her name crossed off at No  27 and William Hewson’s inserted  The following year the Rate Books list her at No  1 Craven Street  Evidence for Mrs  Stevenson and Benjamin remaining at No  1 after William’s death appears in the Westminster Rate Books for 1775 which have Mrs  Stevenson still residing at No  1 and Magnus Falkner residing at No  27  Further evidence can be construed from the lack of any mention of a move back into No  27 in Franklin’s correspondence  Despite the many theories one could devise as to why Franklin was thought to have lived at No  7 Craven Street by so many guide books and Franklin biographers of the nineteenth century, one thing is certain; at some point after Franklin’s departure to America in March of 1775, and no later than 1807, someone mistakenly associated him with No  7 on the west side of Craven Street, and it soon became his de facto residence  Credit must go to D  H  Montgomery in 1896 and Sir George in 1913 for setting the record partially straight by placing Franklin at No  27(36)  In 1937, the London County Council gave us the first accurate account of Franklin’s residences on Craven Street in the Survey of London at No  27(36) and No  1  It has been shown conclusively that No  27 was never previously numbered 7  It was, however, renumbered 36 in 1792 after ten additional houses were built at the southern end of the street and remains No  36 to this day 
[1] “Craven Street and Hungerford Lane”, in Survey of London: Volume 18, St Martin-in-the-Fields II: the Strand, ed  G H Gater and E P Wheeler (London, 1937), 27-39, Early History of the Site 
http://www british-history ac uk/survey-london/vol18/pt2/pp27-39
[2] “England, Westminster Rate Books, 1634-1900,” from database with images, Craven Street – 1735, FamilySearch from database by FindMyPast and images digitized by FamilySearch; citing Westminster City Archives, London 
[3] Ibid , Craven Street – 1748 
[4] The Statutes at Large, From Magna Charta to the End of the Eleventh Parliament of Great Britain  Anno 1761 Continued, Vol  XXVII, ed  Danby Pickering, (Cambridge, John Archdeacon, 1767), 96 
[6] James Raven, Publishing Business in Eighteenth-Century England, (Woodbridge: The Boydell Press, 2014), 201 
[7] The London Directory For the Year 1776, Ninth Edition, (London: T  Lowndes, 1776), title page 
[8] Kent’s Directory For the Year 1778, Forty-Sixth Edition, (London: Richard and Henry Causton, 1778), title page 
[9] A listing in Kent’s Directory for the Year 1882 on p  28 reveals, “Brown Sarah, Leather-seller, 1, Westmoreland-buildings, Aldersgate-street”, and in Kent’s Directory for the Year 1883 on p  175, “Whiteland Mary, Wine & Brandy Mercht  Jermyn-str  St  James ”
[10] “The Papers of Benjamin Franklin,” Sponsored by The American Philosophical Society and Yale University, Digital Edition by The Packard Humanities Institute, 22:263a 
http://franklinpapers org/franklin
Mrs  Stevenson wrote to Benjamin Franklin a letter from her new home at 75 Northumberland Court on November 16, 1775: “In this Court I have a kind friend, Mr  Lechmoen he comes and seats with me and talks of you with a hiy regard and friendship ”
[11] Survey of London, Early History of the Site 
[12] Survey of London, Footnotes/n 10 
[13] Survey of London, Historical Notes/No  31 
[14] David Hughson, LL D , London; Being An Accurate History And Description Of The British Metropolis And Its Neighbourhood, To Thirty Miles Extent, From An Actual Perambulation, Vol  IV, (London: W  Stratford, 1807), 227 
[15] The Reverend Joseph Nightingale, The Beauties of England and Wales: Or, Original Delineations, Topographical, Historical, and Descriptive, of Each County, Vol  X, Part III, Vol  II (London: J  Harris; Longman and Co ; J  Walker; R  Baldwin; Sherwood and Co ; J  and J  Cundee; B  and R  Crosby and Co ; J Cuthell; J  and J  Richardson; Cadell and Davies; C  and J  Rivington; and G  Cowie and Co , 1815), 245 
[16] John Britton, F S A  & Co , ed , The Original Picture of London, Enlarged and Improved: Being A Correct Guide For The Stranger, As Well As For the Inhabitant, To The Metropolis Of The British Empire Together With A Description Of The Environs, The Twenty-Fourth Edition (London: Longman, Rees, Orme, Brown, and Green, 1826), 479 
[17] Jared Sparks, The Works of Benjamin Franklin, Vol  VII, (Philadelphia: Childs & Peterson, 1840), 151 
[18] George Gulliver, F R S , The Works of William Hewson, F  R  S , (London: Printed for the Sydenham Society, MDCCCXLVI), xx 
[19] Peter Cunningham, Handbook for London; Past and Present, Vol  I, (London: John Murray, 1849), 245 
[20] F  Saunders, Memories of the Great Metropolis: or, London, from the Tower to the Crystal Palace, (New York: G P  Putnam, MDCCCLII), 138 
[21] Leigh Hunt, The Town; Its Memorable Characters and Events, (London: Smith, Elder and Co , 1859), 185 
[22] K  Baedeker, London and Its Environs, Including Excursions To Brighton, The Isle of Wight, Etc : Handbook For Travelers, Second Edition, (London: Dulau and Co , 1879), 133 
[23] Herbert Fry, London In 1880 Illustrated With Bird’s-Eye Views of the Principal Streets, Sixth Edition, (New York: Scribner, Welford, & Co , 1880), 50 
[24] Herbert Fry, London  Illustrated By Eighteen Bird’s-Eye Views of the Principal Streets, (London: W  H  Allen and Co , 1886), 40 
[25] Henry B  Wheatley, F S A , London Past and Present; Its History, Associations, and Traditions, Vol  1, (London: John Murray, New York: Scribner & Welford, 1891), 473 
[26] The Journal of the Society of Arts, Vol  XV, No  778, (October 18, 1867): 717 
[27] D  G  C  Allen, “Dear and Serviceable to Each Other: Benjamin Franklin and the Royal Society of Arts,” American Philosophical Society, Vol  144, No  3, (September 2000): 248-249 
Franklin was a corresponding member in 1756 because he was still residing in Philadelphia  He became an active member the following year when he moved to London 
[28] The Journal of the Society of Arts, Vol  XVIII, No  894, (Jan  7, 1870): 137 
“Since the last announcement, the following tablets have been affixed on houses formerly occupied by – Benjamin Franklin, 7 Craven-street, Strand, W C ”
[29] Franklin in His Own Time, eds  Kevin J  Haytes and Isabelle Bour, (Iowa City, University of Iowa Press, 2011), xxxvii 
“Takes lodgings with Margaret Stevenson at No  7 Craven Street ” It is unknown if the editors are referring to No  7 on the west side of Craven Street or No  36 on the east side using Sir George’s explanation of No  36 being previously numbered 7 
[30] Henry C  Shelly, “American Shrines on English Soil, III  In the Footprints of Benjamin Franklin,” in The Book News Monthly, September, 1913 to August, 1914, (Philadelphia: John Wanamaker, 1914), 325 
[31] The Journal of the Royal Society of Arts, Vol  LVI, No  2,880, (Jan  31, 1908): 245 
http://babel hathitrust org/cgi/pt?id=mdp 39015058423073;view=1up;seq=251
“His Majesty the King, who is Patron of the Society, has granted permission to the Society to prefix to its title the term ‘Royal,’ and the Society will consequently be known in future as the ‘Royal Society of Arts ’”
[32] Nineteenth Annual Report, 1914, of the American Scenic and Historic Preservation Society, (Albany: J  B  Lyon Company, 1914), 293 
http://babel hathitrust org/cgi/pt?id=wu 89072985302;view=1up;seq=4;size=150
[33] The Journal of the Society of Arts, Vol  LXII, No  3,183, (Nov  21, 1913): 18 
http://babel hathitrust org/cgi/pt?id=mdp 39015058422968;view=1up;seq=26
[36] Allen, “Dear and Serviceable,” 263-264 
[37] Papers of Benjamin Franklin, 19:20 
[38] Thomas Joseph Pettigrew, F  L  S , Memoirs of the Life and Writings of the Late John Coakley Lettsom With a Selection From His Correspondence, Vol  I, (London: Nichols, Son, and Bentley, 1817), 144 of Correspondence 
[39] Papers of Benjamin Franklin, 19:321b 
[40] Ibid , 19:314 
[41] Ibid , 19:353a 
[43] Simon David John Chaplin, John Hunter and the ‘museum oeconomy’, 1750-1800, Department of History, King’s College London  Thesis submitted for the degree of Doctor of Philosophy of the University of London , 202 
“Following Falconar’s death [1778] the lease [27 Craven Street] was advertised, and the buildings were described as:
A genteel and commodious house, in good Repair, with Coach-house and Stabling for two Horses…consisting of two rooms and light closets on each floor, with outbuildings in the Yard, a Museum, a Compleat Theatre, and other conveniences  (Daily Advertiser, 27 August 1778)”
[44] Simon Chaplin, “Dissection and Display in Eighteenth-Century London,” in Anatomical Dissection in Enlightenment England and Beyond: Autopsy, Pathology and Display, ed  Dr  Piers Mitchell, (Burlington: Ashgate Publishing Company, 2012), 108 
“Given that a nearby building at 35 [ No  26 in Franklin’s time] was occupied by the man-midwife John Leake, who advertised lectures – including lessons in the art of making preparations – at his ‘theatre’ between 1764 and 1788, it is possible that some facilities were shared  In both cases, however, the buildings [Leake’s residence at No  26 and Hewson’s residence next door at 27] served a dual function as domestic accommodation and as sites for lecturing and dissection ”
[45] George Gulliver, F R S , The Works of William Hewson, F  R  S , (London: Printed for the Sydenham Society, MDCCCXLVI), xviii 
[46] Westminster Rate Books, Craven Street – 1773, courtesy of the City of Westminster Archives 
[47] S W  Hillson et al , “Benjamin Franklin, William Hewson, and the Craven Street Bones,” Archaeology International, Vol  2, (Nov  22, 1998): 14-16 
http://dx doi org/10 5334/ai 0206
[48] Westminster Rate Books, Craven Street – 1774, 1775, courtesy of the City of Westminster Archives 
[49] Survey of London, Historical Notes/No  36, Craven Street (not sourced) 
[50] Gordon S  Wood, The Americanization of Benjamin Franklin, (New York: The Penguin Press, 2004), 261 
[51] Pettigrew, Memoirs, 146 of Correspondence 
[52] http://founders archives gov/documents/Franklin/01-22-02-0178, note 7  “Falconar married Hewson’s sister five months after the Doctor’s death; most of the Craven Street circle attended the wedding, and BF gave away the bride: Polly to Barbara Hewson, Oct  4, 1774, APS” (American Philosophical Society); “England Marriages, 1538–1973 ,” database, FamilySearch (https://familysearch org/ark:/61903/1:1:V52W-TGS : accessed September 15, 2015), Magnus Falconar and Dorothy Hewson, September 12, 1774; citing Saint Martin In The Fields, Westminster, London, England, reference ; FHL microfilm 561156, 561157, 561158, 942 B4HA V  25, 942 B4HA V  66 
[53] I chose to rely on the Westminster Rate Books for the numbering system on Craven Street  The books were consistent throughout the eighteenth century in the ordering of residents on the street and were used as the basis for the 1792 re-numbering  For the most part, commercial directories aligned with them as well  If by chance a directory didn’t initially align, it would inevitably produce future editions that did 
Benjamin Franklin, Benjamin Franklin House, London
More from David Turnquist
If one looked into Benjamin Franklin’s time on Craven Street, they might   
I think it’s very ironic that on the street maps included in your excellent article, Craven Street is so close to Scotland Yard  Because following the back and forth juxtapositions of numbers 7, 27 and 36 Craven Street (throw in 75 Northumberland Court and 1 Craven Street, too) was a case that could confound Sherlock Holmes 
Excellent job of deciphering street renumbering material spanning sixty years, including that of a wrong house number (# 7) being erroneously identified and then perpetuated in subsequent street map printings  It’s gratifying at least to know that the present day #36 Craven Street is the correct house for Ben Franklin tourists to visit  Except for #1 Craven Street for the last three years Franklin was in London, but we won’t get into that 
Again, excellent article, David!



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