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Published on: May 15, 2017
Statistics of the number of defects after quantum annealing in a thermal environment
Sei Suzuki1, Hiroki Oshiyama2, Naokazu Shibata3
1Department of Liberal Arts, Saitama Medical University, Moroyama, Saitama, Japan.
Abstract:
We study the statistics of the kink number generated by quantum annealing in a one-dimensional transverse Ising model coupled to a bosonic thermal bath. Using the freezing ansatz for quantum annealing in the thermal environment, we show the relation between the ratio of the second to the first cumulant of the kink number distribution and the average kink density. The theoretical result is confirmed thoroughly by numerical simulation using the non-Markovian infinite time-evolving block decimation which we proposed recently. The simulation using D-Wave's quantum annealer is also discussed. This article is part of the theme issue 'Quantum annealing and computation: challenges and perspectives'.
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