Constructive Method for Detecting the Information Backflow of Non-Markovian Dynamics

Bogna Bylicka, Markus Johansson, and Antonio Acín
Phys. Rev. Lett. 118, 120501 – Published 24 March 2017
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Abstract

We investigate the relation between two approaches to the characterization of quantum Markovianity, divisibility and lack of information backflow. We show that a bijective dynamical map is completely positive divisible if and only if a monotonic nonincrease of distinguishability is observed for two equiprobable states of the evolving system and an ancilla. Moreover, our proof is constructive: given any such map that is not completely positive divisible, we give an explicit construction of two states that, when taken with the same a priori probability, exhibit information backflow. Finally, while an ancilla is necessary for the equivalence to hold in general, we show that it is always possible to witness the non-Markovianity of bijective maps without using any entanglement between the system and ancilla.

  • Figure
  • Received 21 July 2016

DOI:https://doi.org/10.1103/PhysRevLett.118.120501

© 2017 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
Statistical Physics & ThermodynamicsQuantum Information, Science & Technology

Authors & Affiliations

Bogna Bylicka1,2, Markus Johansson1, and Antonio Acín1,3

  • 1ICFO-Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology, 08860 Castelldefels (Barcelona), Spain
  • 2Institute of Physics, Faculty of Physics, Astronomy and Informatics, Nicolaus Copernicus University, Grudziądzka 5/7, 87-100 Toruń, Poland
  • 3ICREA–Institucio Catalana de Recerca i Estudis Avançats, Lluis Companys 23, 08010 Barcelona, Spain

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Issue

Vol. 118, Iss. 12 — 24 March 2017

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