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Bell-type inequalities for arbitrary noncyclic networks

Armin Tavakoli
Phys. Rev. A 93, 030101(R) – Published 4 March 2016

Abstract

Bell inequalities bound the strength of classical correlations between observers measuring on a shared physical system. However, studies of physical correlations can be considered beyond the standard Bell scenario by networks of observers sharing some configuration of many independent physical systems. Here, we show how to construct Bell-type inequalities for correlations arising in any tree-structured network, i.e., networks without cycles. This is achieved by an iteration procedure that in each step allows one to add a branch to the tree-structured network and construct a corresponding Bell-type inequality. We explore our inequalities in several examples, in all of which we demonstrate strong violations from quantum theory.

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  • Received 25 October 2015

DOI:https://doi.org/10.1103/PhysRevA.93.030101

©2016 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
General Physics

Authors & Affiliations

Armin Tavakoli

  • Department of Physics, Stockholm University, S-10691 Stockholm, Sweden; Computer Science Division, University of California, Berkeley, California 94720, USA; and Department für Physik, Ludwig-Maximilians-Universität, D-80797 München, Germany

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Issue

Vol. 93, Iss. 3 — March 2016

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