Nonequilibrium work performed in quantum annealing

Masayuki Ohzeki, Hidetoshi Nishimori

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)

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 a nonequilibrium average of the exponentiated 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.

Original languageEnglish
Article number012047
JournalJournal of Physics: Conference Series
Volume302
Issue number1
DOIs
Publication statusPublished - 2011
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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