Nonequilibrium work performed in quantum annealing

Masayuki Ohzeki; Hidestoshi Nishimori

doi:10.1088/1742-6596/302/1/012047

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arXiv · 1102.2025

Nonequilibrium work performed in quantum annealing

Masayuki Ohzeki·Hidestoshi Nishimori

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Abstract

Quantum annealing is a generic solver of classical optimization problems that makes full use of quantum fluctuations. We consider work statistics given by a repetition of quantum annealing processes by employing the Jarzynski equality proposed in nonequilibrium statistical physics. In particular, we analyze the distribution of the work performed by a transverse field. A special symmetry, gauge symmetry, leads to a non-trivial relationship between quantum annealing toward different targets in the theory of spin glasses. We believe that our results will be a step toward an alternative realization of efficient quantum computation as well as our better understanding of nonequilibrium behavior of systems under quantum control.

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Masayuki Ohzeki, Hidestoshi Nishimori. 2011-04-04. Nonequilibrium work performed in quantum annealing. https://doi.org/10.1088/1742-6596%2F302%2F1%2F012047

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