Scientific article
OA Policy
English

Universal bound on the cardinality of local hidden variables in networks

Published inQuantum Information and Computation, vol. 18, no. 11&12, p. 0910-0926
Publication date2018
Abstract

We present an algebraic description of the sets of local correlations in arbitrary networks, when the parties have finite inputs and outputs. We consider networks generalizing the usual Bell scenarios by the presence of multiple uncorrelated sources. We prove a finite upper bound on the cardinality of the value sets of the local hidden variables. Conse- quently, we fond that the sets of local correlations are connected, closed and semialgebraic, and bounded by tight polynomial Bell-like inequalities.

Keywords
  • Nonlocality
  • Quantum Networks
  • Causal Structures
Citation (ISO format)
ROSSET, Denis, GISIN, Nicolas, WOLFE, Elie. Universal bound on the cardinality of local hidden variables in networks. In: Quantum Information and Computation, 2018, vol. 18, n° 11&12, p. 0910–0926.
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Article (Published version)
accessLevelPublic
Identifiers
  • PID : unige:131901
Journal ISSN1533-7146
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215downloads

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