Simulation of Greenberger-Horne-Zeilinger correlations by relaxing physical constraints

Biswajit Paul, Kaushiki Mukherjee, and Debasis Sarkar
Phys. Rev. A 88, 014104 – Published 24 July 2013

Abstract

Violation of the Bell inequality (or Bell-type inequalities) by nonlocal correlations is justified by relaxation of at least one of the plausible physical constraints used to model such inequality. Based on this fact, in this Brief Report we present a procedure to simulate three-qubit Greenberger-Horne-Zeilinger correlation relaxing two constraints—determinism and no signaling—simultaneously. We have also derived the minimum amount of indeterminism and signaling to be introduced in a system. The corresponding number of signaling and local bits of mutual information needed to communicate are also provided, and thus we are able to focus on the utility of relaxation of these two constraints as useful resources.

  • Figure
  • Received 18 April 2013

DOI:https://doi.org/10.1103/PhysRevA.88.014104

©2013 American Physical Society

Authors & Affiliations

Biswajit Paul1,*, Kaushiki Mukherjee2,†, and Debasis Sarkar2,‡

  • 1Department of Mathematics, St. Thomas’ College of Engineering and Technology, 4, Diamond Harbour Road, Alipore, Kolkata-700023, India
  • 2Department of Applied Mathematics, University of Calcutta, 92, A.P.C. Road, Kolkata-700009, India

  • *biswajitpaul4@gmail.com
  • kaushiki_mukherjee@rediffmail.com
  • dsappmath@caluniv.ac.in

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Issue

Vol. 88, Iss. 1 — July 2013

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