Nonequilibrium work performed in quantum annealing

Details Nonequilibrium work performed in quantum annealing Nonequilibrium work performed in quantum annealing

2011-02-10

arxiv.org/abs/1102.2025v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

4pages, Proceedings of International Symposium "Nanoscience and Quantum Physics 2011" (nanoPHYS'11) Title is changed and some

Scientific paper

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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