SUPERCONDUCTING QUANTUM ARCHITECTURES

Presented herein are techniques through which modular architectures and systems may be implemented for superconducting (SC) quantum processing elements or chips utilizing photonic interconnects. In one instance, an SC processing element is provided that includes a plurality of interconnected qubits, wherein a first qubit of the plurality of interconnected qubits is interconnected with a first microwave-optical transducer. In one instance, a system is provided that includes a first SC processing element comprising a first plurality of interconnected qubits, wherein a first microwave-optical transducer is interconnected with a first qubit of the first plurality of interconnected qubits; a second SC processing element comprising a second plurality of interconnected qubits, wherein a second microwave-optical transducer is interconnected with a first qubit of the second plurality of interconnected qubits; and an optical network interconnecting the first microwave-optical transducer and the second microwave-optical transducer.

TECHNICAL FIELD

The present disclosure relates to architectures for superconducting quantum computers.

BACKGROUND

Quantum computers (QC) use quantum physics for performing computations and can provide advantages for certain tasks such as simulation or optimization of physical systems. Different technologies are under development to build quantum processor units (QPUs). For superconducting (SC) quantum hardware architectures, qubits are formed by nonlinear electric circuits operating in microwave frequencies and the qubits can be coupled via electric circuits, such as through a capacitor, depending on the type of the qubit. Current SC quantum hardware implementations are often limited to less than 100 qubits, however, there is a need for SC quantum architectures that can support implementations involving a much larger number of qubits, such as on the order of thousands or millions of qubits.

DESCRIPTION OF EXAMPLE EMBODIMENTS

Overview

Presented herein are techniques through which modular architectures and systems may be implemented for superconducting (SC) quantum processing elements or chips utilizing photonic interconnects. Architectures and systems described herein may help to solve limitations of existing quantum chip approaches that typically involve qubit-qubit connectivity and single-chip scalability.

In one embodiment, a superconducting (SC) processing element is provided that includes a plurality of interconnected qubits, wherein a first qubit of the plurality of interconnected qubits is interconnected with a first microwave-optical transducer. In one embodiment, a system is provided that includes a first superconducting (SC) processing element comprising a first plurality of interconnected qubits, wherein a first microwave-optical transducer is interconnected with a first qubit of the first plurality of interconnected qubits; a second SC processing element comprising a second plurality of interconnected qubits, wherein a second microwave-optical transducer is interconnected with a first qubit of the second plurality of interconnected qubits; and an optical network interconnecting the first microwave-optical transducer and the second microwave-optical transducer. In still one embodiment, a method is provided that may include interconnecting a first microwave-optical transducer with a first qubit of a first superconducting quantum processing element that comprises a first plurality of interconnected qubits; interconnecting a second microwave-optical transducer with a first qubit of a second superconducting quantum processing element that comprises a second plurality of interconnected qubits; and interconnecting the first microwave-optical transducer and the second microwave-optical transducer with an optical network.

EXAMPLE EMBODIMENTS

Quantum computers (QC) use quantum physics for performing computations and can provide advantages for certain tasks such as simulation or optimization of physical systems. Different technologies are under development to build quantum processor units (QPUs).

Current superconducting (SC) quantum technology used in forming SC quantum processing elements or ‘chips’ typically involves forming qubits using nonlinear circuits operating in microwave frequencies in which the qubits are coupled via electrical circuits, such as through a single capacitor, sometimes referred to generally as an adjustable coupler. Despite successes in small-scale implementations involving current SC quantum technology, such technology is often limited to architectures in which only a small number of qubits (e.g., approximately 50 qubits) are interconnected. Thus, current SC quantum technology can limit SC quantum processing element/chip architectures and scalability.

Given that some SC quantum architectures could potentially involve hundreds, thousands, or even millions of qubits for developing fault-tolerant quantum computers, the limitations of an all-SC chip implemented using current SC quantum technology will impede efforts to realize a large-scale quantum computer.

Referring toFIG.1,FIG.1is a simplified diagram illustrating an example two-dimensional (2D) layout of a conventional superconducting (SC) quantum processing element or chip100. As illustrated inFIG.1, the conventional 2D layout of SC chips is based on nearest neighbor couplings between qubits. As shown inFIG.1, qubits102are connected to nearest neighbors through an adjustable coupler104, such as a capacitor. Other SC technologies, such as trapped ion can provide all-to-all connectivity. A qubit can be a two-level quantum system or a multi-level quantum system in which the lowest energy two levels are energetically separated from other levels that can, therefore, be treated as a two-level system.

However, not having remote couplings between qubits102as shown for the layout ofFIG.1can result in time overhead during the execution of a quantum algorithm. For instance, as shown inFIG.1, executing a single two qubit gate between qubits102-1and102-7involves 13 qubit steps (2×6+1) steps, including 12 SWAP gates between qubits to interconnect connecting qubits102-1and102-7. Generally, a SWAP gate is a two-qubit operation that can be expressed in basis states.

Although current SC QPU chips include less than 100 qubits, scaling a single chip to billions of qubits would be a challenging engineering goal, at which the chip size would be about 1 meter×1 meter and would involve a large dilution refrigeration system in order to cool the chip to superconducting temperatures, typically in the range of 20 millikelvin (mK). Furthermore, large-scale SC systems can show chaotic behavior.

In order to address the limitations of existing approaches involving qubit-qubit connectivity and single-chip scalability, embodiments herein modular architectures for SC quantum processing elements or chips, as well as SC quantum systems, are provided herein through which qubits can be interconnected using optical/photonic interconnects. Various architectures involving cluster computing and modular single-chip architectural models are discussed for various embodiments herein. Utilizing architectures as provided herein can facilitate the realization of SC quantum computers having millions of qubits, which may provide unprecedented computing power for realizing powerful and scalable module SC quantum computers.

FIGS.2A,2B, and2Cillustrate various single chip architectural models for SC quantum processing elements or chips through which different cluster architectural models or systems may be realized in which multiple SC quantum processing elements or chips can be interconnected and communicate via an optical network. In contrast,FIG.6, discussed in further detail below, illustrates an on-chip example architectural model in which qubits of an SC quantum chip can be interconnected using a network of photonic waveguide(s) and on-chip switch(es). As referred to herein, the terms ‘processing element’ and ‘chip’ can be used interchangeably in reference to different SC quantum architectures.

Referring toFIG.2A,FIG.2Aillustrates an example architecture for an SC quantum chip200A that includes a number of qubits202A in which each qubit is shown as a ‘cross’ (+) symbol. The qubits202A for SC quantum chip200A are arranged/interconnected in a 2D grid or array. Note that interconnection elements, such as electrical couplers, etc. are not explicitly illustrated for various embodiments herein in order to illustrate other features of potential SC quantum architectures, however, it is to be understood that qubits discussed for embodiments herein can be implemented as any qubit interconnection elements as may be understood in the art, now known here and/or hereinafter developed. SC qubits that can be utilized for architectures described herein can include any variation of charge qubits, such as transmon, gmon, and/or xmon qubits.

For the embodiment ofFIG.2A, some of the qubits202A can be used as communication qubits such that each of the communication qubits can be interconnected with a microwave-optical transducer that can further be coupled to an optical fiber. A typical microwave-optical transducer operates by having a mechanical oscillator (MO) intermediating between SC and optical domains. Generally, an SC qubit can be coupled to an MO via dipole-dipole coupling and the MO can further be coupled to an optical node in a similar manner.

Generally, a microwave-optical transducer, as discussed for embodiments herein, can be any device that provides for converting classical and/or quantum information between microwave and optical frequencies to facilitate communications between/among two or more qubits using any combination of optical fibers, optical networks (e.g., optical switches, repeaters, etc.), photonic waveguides, entangled photon-pair distribution units, and/or any other elements that may facilitate quantum and/or classical communications for SC quantum architectures described herein. Hardware microwave-optical transducers prototypes have been developed, such as those that involve utilizing bulk transducers, on-chip nano-mechanical interface transducers, and other chip-level type transducers. Microwave-optical transducers discussed for embodiments herein can be implemented as any microwave-optical transducers as may be understood in the art, now known here and/or hereinafter developed.

In some instances, fabrication challenges for manufacturing SC quantum chips can impose restrictions on the choice of qubits that are to be utilized for communication with other qubits via microwave-optical communications. For example, SC fabrication typically involves a heterogenous deposit of different materials. Further, in some instances SC fabrication may involve utilizing a three-dimensional (3D) chip if optical couplings are provided from a top surface/plane of an SC chip. As such, it is to be understood that microwave-transducers may be interconnected with qubits at any location of an SC quantum processing element or chip in accordance with embodiments herein.

In one embodiment, a microwave-optical transducer can be interconnected with interconnected with each of one or more qubit(s) disposed along one or more exterior edge(s) of an SC quantum chip. For example, as shown for the embodiment ofFIG.2A, a microwave-optical transducer204A-1(illustrated as a ‘●’ symbol) can be interconnected with qubit202A-1that is disposed along an exterior edge210A-1of SC quantum chip200A. Microwave-optical transducer204A-1is further coupled to an optical fiber206A-1, which can facilitate optical communications with one or more qubits (also having interconnections facilitated via corresponding microwave-optical transducers) in accordance with embodiments herein.

Microwave-optical transducer interconnections may not be limited to an exterior of SC quantum chips. Another potential microwave-optical interconnection example is illustrated inFIG.2Bin which an example SC quantum chip200B is shown with a plurality of qubits202B organized/arranged/interconnected in a 2D array. As shown for the embodiment of2B, in some instances, one or more holes(s), such as a hole212B, can be cut or otherwise fabricated into a 2D array of interconnected qubits, such that a microwave-optical transducer can be interconnected for each of one or more qubits arranged about an interior/interior edge(s) of an SC quantum chip. For example,FIG.2Billustrates that a microwave-optical transducer204B-1can be interconnected with a qubit202B-1within hole212B.

Any combination of qubit to microwave-optical transducer interconnections can be envisioned for an SC quantum chip, which can facilitate communications among nonadjacent qubits of a particular SC quantum chip and/or communications with one or more qubits of one or more other SC quantum chip(s). For example,FIG.2Cillustrates an SC quantum chip200C having a plurality of qubits202C organized/interconnected in a 2D array.

As shown inFIG.2C, a hole212C-1can be provided about an interior of SC quantum chip200C in which one or more qubits can be interconnected with a corresponding microwave-optical transducer, such as an interior qubit202C-1interconnected with a microwave-optical transducer204C-1. Further, one or more qubits along an exterior edge210C-1of SC quantum chip can also be interconnected with a corresponding microwave-optical transducer, such as an exterior qubit202C-2interconnected with a microwave-optical transducer204C-2.

In some embodiments, qubit to microwave-optical transducer (also referred to herein as ‘qubit/microwave-optical’) interconnections provided for a particular SC quantum chip can facilitate communications between nonadjacent qubits of the particular SC quantum chip, which can provide advantages over current SC quantum chip implementations, such as those shown inFIG.1in which qubits are limited to communications only with nearest-neighbor adjacent qubits.

As illustrated for the example architecture involving SC quantum chip200C ofFIG.2C, for example, exterior qubit202C-2interconnected with a microwave-optical transducer204C-2can communicate with a nonadjacent qubit for the 2D array of SC quantum chip200C, such as interior qubit202C-1interconnected with microwave-optical transducer204C-1via an optical fiber206C-1coupled to both microwave-optical transducer204C-2and microwave-optical transducer204C-1.

Any combination of interconnections/communications among nonadjacent qubits of a particular SC quantum chip can be envisioned, such as, for example, a first exterior qubit in communication with a nonadjacent second exterior qubit for an SC quantum chip, a first interior qubit in communication with a nonadjacent second interior qubit, and/or (as shown inFIG.2C), an interior qubit in communication with an exterior qubit. Further, other potential qubit/microwave-optical transducer interconnections/variations are al so shown (but not labeled) for the embodiment ofFIG.2Cin order to illustrate the potentially unlimited combinations/variations of qubit/microwave-optical transducer interconnections that may be envisioned for SC quantum architectures, in accordance with various embodiments herein.

The example architecture involving SC quantum chip200C can also facilitate qubit communications with qubit(s) of one or more other SC quantum chip(s) (not shown inFIG.2C) utilizing any combination of exterior/interior qubit/microwave optical interconnections. For example, an interior qubit202C-3can be interconnected with a microwave-optical transducer204C-3, which can further be coupled to an optical fiber206C-2that can be interconnected with an optical network (not shown inFIG.2C) that can facilitate optical interconnection with qubit(s) of one or more other SC quantum chip(s), as discussed in further detail below.

For example, considerFIG.3, which illustrates another example superconducting (SC) quantum architecture involving an SC quantum system300including a plurality of SC quantum processing elements or chips301A,301B,301C, and301D interconnected via an optical network320, in accordance with embodiments herein. As illustrated inFIG.3, each SC quantum chip301A,301B,301C, and301D can include a plurality of qubits organized/interconnected in corresponding 2D arrays.

The embodiment ofFIG.3illustrates an example SC quantum architecture through which SC quantum chips301A,301B,301C, and301D, via corresponding qubits of each SC quantum chip can be interconnected and communicate via a configuration involving microwave-optical transducers, optical fibers, and optical network320. For example, exterior qubits302A of SC quantum chip301A can each be interconnected with corresponding microwave-optical transducers304A further coupled to optical fibers306A that are interconnected with optical network320. Further, exterior qubits302B of SC quantum chip301B can each be interconnected with corresponding microwave-optical transducers304B further coupled to optical fibers306B that are interconnected with optical network320. Further, exterior qubits302C of SC quantum chip301C can each be interconnected with corresponding microwave-optical transducers304C further coupled to optical fibers306C that are interconnected with optical network320, and exterior qubits302D of SC quantum chip301D can each be interconnected with corresponding microwave-optical transducers304D further coupled to optical fibers306D that are also interconnected with optical network320.

Thus, any exterior qubits302A,302B,302C, and/or302D of any of SC quantum chips301A,301B,301C, and/or301D can communicate via optical network320, which may be implemented as any combination of optical switches, routers, multiplexers, demultiplexers, quantum memories, a quantum Reconfigurable Optical Add Drop Multiplexer (ROADM), combinations thereof, and/or the like as may be understood in the art, now known here and/or hereinafter developed. In some instances, optical networks discussed herein may also be referred to has optical quantum networks.

The SC quantum architecture as illustrated inFIG.3can be extended to encompass interconnections among any combination of qubits of two or more SC quantum chips. For example,FIG.4illustrates another example SC quantum architecture involving an SC quantum system400including a plurality of SC quantum processing elements or chips401having qubits that can be interconnected via microwave-wave optical transducers404, optical fibers406, and a plurality of optical networks420, in accordance with embodiments herein.

Although only exterior qubit interconnections are illustrated for the example architectures ofFIGS.3and4, it is to be understood that interconnections among any combination of interior and/or exterior qubits can be realized for SC quantum architectures, in accordance with embodiments herein (e.g., interior to interior and/or exterior to interior (and vice-versa)).

For the example architectures illustrated for the embodiments ofFIGS.3and4, SC quantum chips are generally interconnected in a 2D manner such that nearest neighbor chips are in communication with other nearest neighbor chips. For example, an SC quantum chip401A may be in communication with a nearest neighbor SC quantum chip401B, which may further be in communication with a nearest neighbor SC quantum chip401C. However, none of SC quantum chips401A,401B, or401C may be in communication with a non-nearest neighbor SC quantum chip401D.

However, the SC quantum architectures ofFIGS.3and4can be further extended to three-dimensional 3D SC quantum architectures, such as illustrated inFIG.5, which illustrates another example SC quantum architecture involving an SC quantum system500including a plurality of SC quantum processing elements or chips501A,501B,501C,501D, and501E having qubits that can be interconnected via an optical network520. As illustrated inFIG.5, a corresponding array of optical fibers504A,504B,504C,504D, and504E interconnected (via corresponding microwave-optical transducers, not shown inFIG.5) to qubits of corresponding SC quantum chips501A,501B,501C,501D, and501E can be utilized to facilitate any-to-any communications among interconnect qubits of any of SC quantum chips501A,501B,501C,501D, and/or501E, in accordance with embodiments herein. Such an SC quantum architecture as illustrated inFIG.5has a higher level of connectivity than merely having a larger chip with nearest-neighbor connections. One potential advantage of higher connectivity is the possibility of executing longer algorithms, which can facilitate higher computational power for an SC quantum computer.

In the cluster architectural models as illustrated inFIGS.2A,2B,2C,3,4, and5, SC quantum chips or, more specifically, qubits of SC quantum chips, can be interconnected via optical fibers and/or one or more optical network(s). However, such a cluster model can be extended to facilitate on-chip architectural models in which on-chip connections among SC qubits can be connected through a network of photonic waveguides interconnected to one or more on-chip optical network(s). For example,FIG.6illustrates another example SC quantum architecture involving an SC quantum system in which a plurality of qubits602of an SC quantum chip601can each be interconnected to an optical network620via corresponding microwave-optical transducers604interconnected with each corresponding qubit602and further coupled to corresponding photonic waveguides608that are interconnected with optical network620. Photonic waveguides608may also be referred to herein as a photonic waveguide network. Generally, photonic waveguides608may operate at telecommunication optical frequencies, such as 200 Terahertz (THz), 282 THz, etc.

In some instances, embodiments herein may be implemented using a hybrid-SC optical system.FIGS.7A,7B,7C and8are simplified diagrams illustrating example hybrid SC-optical systems through which SC quantum computers can be implemented, according to various example embodiments. For example,FIG.7Aillustrates an example hybrid SC-optical system700, according to an example embodiment.

As illustrated inFIG.7A, hybrid SC-optical system700may include an SC quantum chip701including a plurality of qubits702and also a control electronics chip703that is electrically coupled to the SC quantum chip. The SC quantum chip701and the control electronics chip703are cooled in a dilution cooling or refrigeration unit710. Qubits702of the SC quantum chip701can be interconnected via microwave-optical transducers (not shown) and optical fibers706with an optical network720. In at least one embodiment, optical network720may be representative of an entangled photon-pair distribution unit.

FIG.7Billustrates example details of optical network720implemented as an entangled photon-pair distribution unit. As illustrated inFIG.7B, the optical network720may include a number of probabilistic two-qubit gates722in which each two-qubit gate722includes a pair of detector units724-1and724-2(also sometimes referred to as ‘readouts’), corresponding optical fibers or waveguides726-1and726-2, and a beam splitter728.FIG.7Cillustrates additional details associated with a corresponding two-qubit gate722in which each optical fiber/waveguide726-1can be interconnected with a microwave-optical transducer704-2that is interconnected with a qubit702-2and optical fiber/waveguide726-2can be interconnected with a microwave-optical transducer704-1that is interconnected with a qubit702-1. In at least one embodiment, the optical network may be implemented as two chips, with a first chip including detector units for optical (two-qubit) gates and a second chip including the optical elements beam splitters and fibers or waveguides.

During operation of the two-qubit gate722as illustrated inFIG.7C, a photon703-1(illustrated using the ‘*’ symbol) is emitted from qubit702-1/microwave-optical transducer704-1that is carried via optical fiber/waveguide726-2to detector unit724-2and a photon703-2is emitted from qubit702-2/microwave-optical transducer704-2that is carried via optical fiber/waveguide726-1to detector unit724-1. With a probability of √pe(1−pe) only one of the detectors may ‘click’ (i.e., detect a photon) in which case qubits702-1and702-2are considered to be entangled. If only one ‘click’ is obtained, the process is accepted, effectuating a two-qubit gate.

The process can further be described as follows. After possible emission, the state of a given emitter (qubit) ‘i’ and photon can be expressed as: |ψ=√{square root over (1−ρe)}|↓i|vac+eikxi√{square root over (ρe)}|↑iαi+|vac. An emitter (qubit) ‘j’ can be expressed in a similar manner.

Consider various example details related to operation of the beam splitter728with reference to photonic variables ‘ai’ and ‘bi’ as shown inFIG.7Cthat may be representative of corresponding photon states before and after traversing beam splitter728. For example, the system of equations represented by ‘Ô’ as shown below in Equation 1 may represent the state of photons ‘ai’/‘bi’ and ‘aj’/‘bi’ before/after beam splitter728as follows:

After the beam splitter728, the state of the photons may be represented as shown below in Equation 2, as follows:

During operation, the SC quantum chip701and control electronics chip703are maintained within the dilution cooling or refrigeration unit710, which cools the chips down to 20 mK. While the SC quantum chip701and control electronics chip703reside inside the dilution refrigeration unit710, the optical fibers706(interconnected to qubits702via microwave-optical transducers) can be guided outside the dilution refrigeration unit710such that the optical network720is operated external to the dilution refrigeration unit710and can be operated at room temperature.

The dilution refrigeration unit710may be implemented as any commonly known refrigeration unit used for SC quantum chips operating at approximately 20 mK. Temperature can affect performance of microwave-optical transducers discussed for embodiments herein. For example, it has been observed, in some instances that noise levels for transducers may increase linearly with temperature, up to 100 mK. Thus, it is to be understood that overall performance of architectures and systems described herein can depend on the engineering, manufacture, and operation of all components, including transducer fabrication, fiber coupling inside a dilution refrigeration unit, and also (outside a dilution refrigeration unit), the elements of one or more optical network(s) that may be utilized for interconnecting two or more SC quantum chips such that any source of loss and/or dephasing can reduce the performance of architectures/systems described herein.

Features as illustrated for the system ofFIG.7Acan be extended to facilitate interconnecting multiple SC quantum chips. For example, as illustrated inFIG.8, a hybrid SC-optical system800can be provided in which multiple SC quantum chips (and corresponding electronics control chips, microwave-optical transducers, optical fibers/fiber arrays etc.) can be interconnected via one or more optical networks. As illustrated inFIG.8, an ‘N’ number of SC quantum chips801.1-801.N may be operated in an ‘N’ number of cooling or refrigeration units810.1-810.N in which the SC quantum chips can be interconnected via corresponding optical fibers/fiber arrays804to one or more optical networks820, operated outside of refrigeration units810.1-810.N

It is to be understood that in some embodiments for the systems illustrated inFIGS.7A and8that multiple SC quantum chips can be operated in a same/common cooling/refrigeration unit.

Hybrid SC-optical architectures/systems described herein, such as those illustrated inFIGS.7A and8may facilitate operation of an SC quantum computer through which quantum computing may be provided. Computing in such architectures/systems may be considered ‘hybrid’ in the sense that a circuit model can be operated/executed on each SC quantum chip of such architectures/systems, while gates (e.g., two-qubit gates722) between separate chips can be provided via entanglement heralding techniques that are probabilistic in nature.

Referring toFIG.9,FIG.9is a flow chart depicting a method according to an example embodiment. In at least one embodiment, method900illustrates example operations that may be performed to interconnect two or more SC quantum chips, according to an example embodiment.

At902, the method may include interconnecting a first microwave-optical transducer with a first qubit of a first superconducting quantum processing element that comprises a first plurality of interconnected qubits. At904, the method may include interconnecting a second microwave-optical transducer with a first qubit of a second superconducting quantum processing element that comprises a second plurality of interconnected qubits. At906, the method may include interconnecting the first microwave-optical transducer and the second microwave-optical transducer with an optical network. In at least one embodiment, the first microwave-optical transducer is connected to the optical network via a first optical fiber and the second microwave-optical transducer is connected to the optical network via a second optical fiber.

Accordingly, in one form a superconducting (SC) processing element is provided that may include a plurality of interconnected qubits, wherein a first qubit of the plurality of interconnected qubits is interconnected with a first microwave-optical transducer. In one instance, the first qubit is an interior qubit of the SC processing element or an exterior qubit of the SC processing element. In one instance, a second qubit of the plurality of interconnected qubits is interconnected with a second microwave-optical transducer and the first microwave-optical transducer is interconnected with the second microwave-optical transducer via an optical fiber.

In one instance, the first qubit and the second qubit are nonadjacent. In one instance, the first qubit is an exterior qubit of the SC processing element, and the second qubit is an exterior qubit of the SC processing element. In one instance, the first qubit is an interior qubit of the SC processing element, and the second qubit is an exterior qubit of the SC processing element. In one instance, the first qubit is an interior qubit of the SC processing element, and the second qubit is an interior qubit of the SC processing element.

In one instance, the plurality of interconnected qubits are arranged in a two-dimensional array. In one instance, the SC processing element may further include a first photonic waveguide interconnected with the first microwave-optical transducer; and an optical network interconnected with the first photonic waveguide.

In one form, a system is provided that may include a first superconducting (SC) processing element comprising a first plurality of interconnected qubits, wherein a first microwave-optical transducer is interconnected with a first qubit of the first plurality of interconnected qubits; a second SC processing element comprising a second plurality of interconnected qubits, wherein a second microwave-optical transducer is interconnected with a first qubit of the second plurality of interconnected qubits; and an optical network interconnecting the first microwave-optical transducer and the second microwave-optical transducer.

In one instance, the first qubit of the first plurality of interconnected qubits is an exterior qubit of the first SC processing element and the first qubit of the second plurality of interconnected qubits is an exterior qubit of the second SC processing element. In one instance, the first qubit of the first plurality of interconnected qubits is an exterior qubit of the first SC processing element and the first qubit of the second plurality of interconnected qubits is an interior qubit of the second SC processing element. In one instance, the first qubit of the first plurality of interconnected qubits is an interior qubit of the first SC processing element and the first qubit of the second plurality of interconnected qubits is an interior qubit of the second SC processing element.

In one instance, each of a plurality of first qubits of the first plurality of qubits are interconnected with a corresponding first microwave-optical transducer, each of a plurality of first qubits of the second plurality of interconnected qubits are interconnected with a corresponding second microwave-optical transducer, and each first microwave-optical transducer and each second microwave-optical transducer is connected to the optical network.

In one instance, the first SC processing element and the second SC processing element are operated in a cooling unit and the optical network is operated external to the cooling unit. In one instance, the first SC processing element is operated in a first cooling unit, the second SC processing element is operated in a second cooling unit, and the optical network is operated external to the first cooling unit and the second cooling unit.

In one instance, the first microwave-optical transducer is connected to the optical network via a first optical fiber and the second microwave-optical transducer is connected to the optical network via a second optical fiber. In one instance, the first microwave-optical transducer is connected to the optical network via a first waveguide and the second microwave-optical transducer is connected to the optical network via a second waveguide. In one instance, the first plurality of interconnected qubits of the first SC processing element are arranged in a two-dimensional array. In one instance, the second plurality of interconnected qubits of the second SC processing element are arranged in a two-dimensional array.

In one form, a method is provided that may include interconnecting a first microwave-optical transducer with a first qubit of a first superconducting quantum processing element that comprises a first plurality of interconnected qubits; interconnecting a second microwave-optical transducer with a first qubit of a second superconducting quantum processing element that comprises a second plurality of interconnected qubits; and interconnecting the first microwave-optical transducer and the second microwave-optical transducer with an optical network. In one instance, the first microwave-optical transducer is connected to the optical network via a first optical fiber and the second microwave-optical transducer is connected to the optical network via a second optical fiber.

Each example embodiment disclosed herein has been included to present one or more different features. However, all disclosed example embodiments are designed to work together as part of a single larger system or method. This disclosure explicitly envisions compound embodiments that combine multiple previously discussed features in different example embodiments into a single system or method.