Measuring and using non-Markovianity

Carlos Pineda, Thomas Gorin, David Davalos, Diego A. Wisniacki, and Ignacio García-Mata
Phys. Rev. A 93, 022117 – Published 24 February 2016

Abstract

We construct measures for the non-Markovianity of quantum evolution with a physically meaningful interpretation. We first provide a general setting in the framework of channel capacities and propose two families of meaningful quantitative measures, based on the largest revival of a channel capacity, avoiding some drawbacks of other non-Markovianity measures. We relate the proposed measures to the task of information screening. This shows that the non-Markovianity of a quantum process may be used as a resource. Under these considerations, we analyze two paradigmatic examples, a qubit in a quantum environment with classically mixed dynamics and the Jaynes-Cummings model.

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  • Received 18 May 2015

DOI:https://doi.org/10.1103/PhysRevA.93.022117

©2016 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & Optical

Authors & Affiliations

Carlos Pineda1,*, Thomas Gorin2, David Davalos1, Diego A. Wisniacki3, and Ignacio García-Mata4,5

  • 1Instituto de Física, Universidad Nacional Autónoma de México, México, D.F., 01000, México
  • 2Departamento de Física, Universidad de Guadalajara, Guadalajara, 44840 Jalísco, México
  • 3Departamento de Física “J. J. Giambiagi” and IFIBA, FCEyN, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina
  • 4Instituto de Investigaciones Físicas de Mar del Plata (IFIMAR), CONICET-UNMdP, B7602AYL Mar del Plata, Argentina
  • 5Consejo Nacional de Investigaciones Científicas y Tecnológicas (CONICET), C1425FQB Argentina

  • *carlospgmat03@gmail.com

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Issue

Vol. 93, Iss. 2 — February 2016

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