2026-10-28 · arXiv Quantum Physics
arXiv:2310.02248v2 Announce Type: replace
Abstract: We introduce variational coherent quantum annealing (VCQA), a hybrid protocol that optimizes finite-time annealing schedules within a low-dimensional parameter space. We consider three schedule functions that interpolate between the initial, problem (final), and auxiliary Hamiltonians, each represented by a piecewise cubic Hermite interpolant. The auxiliary Hamiltonian is a problem-informed, longitudinal, and local field that vanishes at both ends of the evolution, providing a mechanism to enlarge the minimum energy gap. We benchmark our protocol on QUBO and (HUBO) instances, as well as, a non-stoquastic model, using systems of up to ten qubits. With only six variational parameters for the entire protocol, we find that the characteristic time of the adiabatic-like evolution is reduced by at least a factor of 2.4 in every case. These finite-size, closed-system results establish VCQA as a compact control ansatz and motivate tests under hardware noise and control constraints.
原文链接：https://arxiv.org/abs/2310.02248
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