Nonlocality is Transitive

Sandro Coretti, Esther Hänggi, and Stefan Wolf
Phys. Rev. Lett. 107, 100402 – Published 31 August 2011

Abstract

We show a transitivity property of nonlocal correlations: There exist tripartite nonsignaling correlations of which the bipartite marginals between A and B as well as B and C are nonlocal and any tripartite nonsignaling system between A, B, and C consistent with them must be such that the bipartite marginal between A and C is also nonlocal. This property represents a step towards ruling out certain alternative models for the explanation of quantum correlations such as hidden communication at finite speed. Whereas it is not possible to rule out this model experimentally, it is the goal of our approach to demonstrate this explanation to be logically inconsistent: either the communication cannot remain hidden, or its speed has to be infinite. The existence of a three-party system that is pairwise nonlocal is of independent interest in the light of the monogamy property of nonlocality.

  • Figure
  • Figure
  • Received 28 February 2011

DOI:https://doi.org/10.1103/PhysRevLett.107.100402

© 2011 American Physical Society

Authors & Affiliations

Sandro Coretti

  • Computer Science Department, ETH Zurich, CH-8092 Zürich, Switzerland

Esther Hänggi

  • Centre for Quantum Technologies, National University of Singapore, Singapore

Stefan Wolf

  • Computer Science Department, ETH Zurich, CH-8092 Zürich, Switzerland

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 107, Iss. 10 — 2 September 2011

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review Letters

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×