On the adiabatic quantum evolution of a single qubit
The adiabatic quantum evolution method has generally been studied for the case where the linear interpolation from an initial to a final Hamiltonian is taken. However, this approach fails even for the case of a single qubit, when the initial and final states are orthogonal or almost orthogonal. In this case, the evolution time becomes infinite. We show that by using a simple nonlinear interpolation method the adiabatic evolution can be done in finite time, regardless of the orthogonality of the initial and final states.
adiabatic quantum evolution quantum computing