Estimating the degree of non-Markovianity using machine learning

Felipe F. Fanchini, Göktuğ Karpat, Daniel Z. Rossatto, Ariel Norambuena, and Raúl Coto
Phys. Rev. A 103, 022425 – Published 24 February 2021

Abstract

In the last few years, the application of machine learning methods has become increasingly relevant in different fields of physics. One of the most significant subjects in the theory of open quantum systems is the study of the characterization of non-Markovian memory effects that emerge dynamically throughout the time evolution of open systems as they interact with their surrounding environment. Here we consider two well-established quantifiers of the degree of memory effects, namely, the trace distance and the entanglement-based measures of non-Markovianity. We demonstrate that using machine learning techniques, in particular, support vector machine algorithms, it is possible to estimate the degree of non-Markovianity in two paradigmatic open system models with high precision. Our approach can be experimentally feasible to estimate the degree of non-Markovianity, since it requires a single or at most two rounds of state tomography.

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  • Received 24 September 2020
  • Revised 11 February 2021
  • Accepted 11 February 2021

DOI:https://doi.org/10.1103/PhysRevA.103.022425

©2021 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
Quantum Information, Science & Technology

Authors & Affiliations

Felipe F. Fanchini1,*, Göktuğ Karpat2, Daniel Z. Rossatto3, Ariel Norambuena4, and Raúl Coto4

  • 1Faculdade de Ciências, Universidade Estadual Paulista (UNESP), Bauru, SP, 17033-360, Brazil
  • 2Faculty of Arts and Sciences, Department of Physics, İzmir University of Economics, İzmir, 35330, Turkey
  • 3Universidade Estadual Paulista (UNESP), Campus Experimental de Itapeva, 18409-010 Itapeva, São Paulo, Brazil
  • 4Centro de Investigación DAiTA Lab, Facultad de Estudios Interdisciplinarios, Universidad Mayor, Santiago, Chile

  • *fanchini@fc.unesp.br

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Issue

Vol. 103, Iss. 2 — February 2021

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