Bell inequalities with communication assistance

Katherine Maxwell, Eric Chitambar

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we consider the possible correlations between two parties using local machines and shared randomness with an additional amount of classical communication. This is a continuation of the work initiated by Bacon and Toner [Phys. Rev. Lett. 90, 157904 (2003)PRLTAO0031-900710.1103/PhysRevLett. 90.157904] who characterized the correlation polytope for 2×2 measurement settings with binary outcomes plus one bit of communication. Here, we derive a complete set of Bell inequalities for 3×2 measurement settings and a shared bit of communication. When the communication direction is fixed, nine Bell inequalities characterize the correlation polytope, whereas when the communication direction is bidirectional, 143 inequalities describe the correlations. We then prove a tight lower bound on the amount of communication needed to simulate all no-signaling correlations for a given number of measurement settings.

Original languageEnglish (US)
Article number042108
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume89
Issue number4
DOIs
StatePublished - Apr 16 2014
Externally publishedYes

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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