Experimental investigation of Markovian and non-Markovian channel addition

S. A. Uriri, F. Wudarski, I. Sinayskiy, F. Petruccione, and M. S. Tame
Phys. Rev. A 101, 052107 – Published 11 May 2020

Abstract

The study of memory effects in quantum channels helps in developing characterization methods for open quantum systems and strategies for quantum error correction. Two main sets of channels exist, corresponding to system dynamics with no memory (Markovian) and with memory (non-Markovian). Interestingly, these sets have a nonconvex geometry, allowing one to form a channel with memory from the addition of memoryless channels and vice versa. Here, we experimentally investigate this nonconvexity in a photonic setup by subjecting a single qubit to a convex combination of Markovian and non-Markovian channels. We use both divisibility and distinguishability as criteria for the classification of memory effects, with associated measures. Our results highlight some practical considerations that may need to be taken into account when using memory criteria to study system dynamics given by the addition of Markovian and non-Markovian channels in experiments.

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  • Received 21 August 2019
  • Revised 17 January 2020
  • Accepted 18 February 2020

DOI:https://doi.org/10.1103/PhysRevA.101.052107

©2020 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & TechnologyStatistical Physics & Thermodynamics

Authors & Affiliations

S. A. Uriri1, F. Wudarski2,3,4,*, I. Sinayskiy1, F. Petruccione1,5, and M. S. Tame6,†

  • 1School of Chemistry and Physics, University of KwaZulu-Natal, Durban 4001, South Africa
  • 2Quantum Artificial Intelligence Lab. (QuAIL), Exploration Technology Directorate, NASA Ames Research Center, Moffett Field, California 94035, USA
  • 3USRA Research Institute for Advanced Computer Science (RIACS), Mountain View, California 94035, USA
  • 4Institute of Physics, Faculty of Physics, Astronomy and Informatics, Nicolaus Copernicus University, Grudziądzka 5/7, 87-100 Toruń, Poland
  • 5National Institute for Theoretical Physics, KwaZulu-Natal, Durban 4001, South Africa
  • 6Department of Physics, Stellenbosch University, Matieland 7602, South Africa

  • *fawudarski@gmail.com
  • markstame@gmail.com

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Issue

Vol. 101, Iss. 5 — May 2020

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