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Toward an alternative approach to the quantum mechanic ground state search,we theoretically introduce a protocol in which energy of two identical systemsare deterministically exchanged. The protocol utilizes a quantum interferencebetween "forward" and "backward" time evolved states with respect to a givenHamiltonian. 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 theprotocol successively among multiple systems so that energy of one of them isgradually approaching the lowest one. Although rigorous analysis on thevalidity of the network is left as a future challenge, some properties of thenetwork are also investigated.

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