Annealing Dynamics via Quantum Interference of Forward and Backward Time Evolved States

TL;DR

This paper proposes a novel quantum interference protocol involving forward and backward time evolution to exchange energies between systems, aiming to improve ground state search efficiency in quantum mechanics.

Contribution

It introduces a new quantum interference protocol and a network design for iterative energy exchange to facilitate ground state search, which is a novel approach.

Findings

The protocol enables deterministic energy exchange between identical systems.

Initial properties of the proposed network are analyzed.

The approach offers a potential alternative to traditional ground state search methods.

Abstract

Toward an alternative approach to the quantum mechanic ground state search, we theoretically introduce a protocol in which energy of two identical systems are deterministically exchanged. The protocol utilizes a quantum interference between "forward" and "backward" time evolved states with respect to a given Hamiltonian. In addition, to make use the protocol for the ground state search, we construct a network with which we may be able to efficiently apply the protocol successively among multiple systems so that energy of one of them is gradually approaching the lowest one. Although rigorous analysis on the validity of the network is left as a future challenge, some properties of the network are also investigated.