Analytical solution for nonadiabatic quantum annealing to arbitrary Ising spin Hamiltonian.

ABSTRACT: Ising spin Hamiltonians are often used to encode a computational problem in their ground states. Quantum Annealing (QA) computing searches for such a state by implementing a slow time-dependent evolution from an easy-to-prepare initial state to a low energy state of a target Ising Hamiltonian of quantum spins, H_I. Here, we point to the existence of an analytical solution for such a problem for an arbitrary H_I beyond the adiabatic limit for QA. This solution provides insights into the accuracy of nonadiabatic computations. Our QA protocol in the pseudo-adiabatic regime leads to a monotonic power-law suppression of nonadiabatic excitations with time T of QA, without any signature of a transition to a glass phase, which is usually characterized by a logarithmic energy re

SUBMITTER: Yan B 

PROVIDER: S-EPMC9038765 | biostudies-literature | 2022 Apr

REPOSITORIES: biostudies-literature