Conditional mutual information and quantum steering

Eneet Kaur, Xiaoting Wang, and Mark M. Wilde
Phys. Rev. A 96, 022332 – Published 31 August 2017

Abstract

Quantum steering has recently been formalized in the framework of a resource theory of steering, and several quantifiers have already been introduced. Here, we propose an information-theoretic quantifier for steering called intrinsic steerability, which uses conditional mutual information to measure the deviation of a given assemblage from one having a local-hidden-state model. We thus relate conditional mutual information to quantum steering and introduce monotones that satisfy certain desirable properties. The idea behind the quantifier is to suppress the correlations that can be explained by an inaccessible quantum system and then quantify the remaining intrinsic correlations. A variant of the intrinsic steerability finds operational meaning as the classical communication cost of sending the measurement choice and outcome to an eavesdropper who possesses a purifying system of the underlying bipartite quantum state that is being measured.

  • Figure
  • Received 9 February 2017

DOI:https://doi.org/10.1103/PhysRevA.96.022332

©2017 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & Technology

Authors & Affiliations

Eneet Kaur1,*, Xiaoting Wang1,†, and Mark M. Wilde1,2,‡

  • 1Hearne Institute for Theoretical Physics, Department of Physics and Astronomy, Baton Rouge, Louisiana 70803, USA
  • 2Center for Computation and Technology, Louisiana State University, Baton Rouge, Louisiana 70803, USA

  • *ekaur1@lsu.edu
  • Present address: Institute of Fundamental and Frontier Sciences, University of Electronic Science and Technology of China, Chengdu 610054, China; xiaoting@lsu.edu
  • mwilde@lsu.edu

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Vol. 96, Iss. 2 — August 2017

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