Distributed correlations and information flows within a hybrid multipartite quantum-classical system

Bruno Leggio, Rosario Lo Franco, Diogo O. Soares-Pinto, Paweł Horodecki, and Giuseppe Compagno
Phys. Rev. A 92, 032311 – Published 8 September 2015

Abstract

Understanding the non-Markovian mechanisms underlying the revivals of quantum entanglement in the presence of classical environments is central in the theory of quantum information. Tentative interpretations have been given by either the role of the environment as a control device or the concept of hidden entanglement. We address this issue from an information-theoretic point of view. To this aim, we consider a paradigmatic tripartite system, already realized in the laboratory, made of two independent qubits and a random classical field locally interacting with one qubit alone. We study the dynamical relationship between the two-qubit entanglement and the genuine tripartite correlations of the overall system, finding that collapse and revivals of entanglement correspond, respectively, to the rise and fall of the overall tripartite correlations. Interestingly, entanglement dark periods can enable plateaux of nonzero tripartite correlations. We then explain this behavior in terms of information flows among the different parties of the system. Besides showcasing the phenomenon of the freezing of overall correlations, our results provide insights on the origin of retrieval of entanglement within a hybrid quantum-classical system.

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  • Received 6 June 2015

DOI:https://doi.org/10.1103/PhysRevA.92.032311

©2015 American Physical Society

Authors & Affiliations

Bruno Leggio1, Rosario Lo Franco2,3,4, Diogo O. Soares-Pinto3, Paweł Horodecki5, and Giuseppe Compagno2

  • 1Laboratoire Charles Coulomb (L2C), Unités Mixtes de Recherche 5221, Centre National de la Recherche Scientifique, Université de Montpellier, F-34095 Montpellier, France
  • 2Dipartimento di Fisica e Chimica, Università di Palermo, Via Archirafi 36, 90123 Palermo, Italy
  • 3Instituto de Física de São Carlos, Universidade de São Paulo, CP 369, 13560-970 São Carlos, São Paulo, Brazil
  • 4School of Mathematical Sciences, The University of Nottingham, University Park, Nottingham NG7 2RD, England, United Kingdom
  • 5Faculty of Applied Physics and Mathematics, Technical University of Gdańsk, 80-952 Gdańsk, Poland

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Issue

Vol. 92, Iss. 3 — September 2015

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