Benchmarking quantum annealing dynamics: the spin-vector Langevin model

• URL: http://arxiv.org/abs/2109.09750v3
• Date: Tue, 10 May 2022 03:52:26 GMT
• Title: Benchmarking quantum annealing dynamics: the spin-vector Langevin model
• Authors: David Subires, Fernando J. G\'omez-Ruiz, Antonia Ruiz-Garc\'ia, Daniel Alonso, Adolfo del Campo
• Abstract summary: We introduce the spin-vector Langevin (SVL) model as an alternative benchmark in which the time evolution is described by Langevin dynamics. The SVL model is shown to provide a more stringent test than the SVMC model for the identification of quantum signatures.
• Score: 58.720142291102135
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The classical spin-vector Monte Carlo (SVMC) model is a reference benchmark for the performance of a quantum annealer. Yet, as a Monte Carlo method, SVMC is unsuited for an accurate description of the annealing dynamics in real-time.We introduce the spin-vector Langevin (SVL) model as an alternative benchmark in which the time evolution is described by Langevin dynamics. The SVL model is shown to provide a more stringent test than the SVMC model for the identification of quantum signatures in the performance of quantum annealing devices, as we illustrate by describing the Kibble-Zurek scaling associated with the dynamics of symmetry breaking in the transverse field Ising model, recently probed using D-Wave machines. Specifically, we show that D-Wave data are reproduced by the SVL model.

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