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Algorithmic Construction of Local Hidden Variable Models for Entangled Quantum States

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Author(s)

  • Flavien Hirsch
  • Marco Túlio Quintino
  • Tamás Vértesi
  • Matthew F. Pusey
  • Nicolas Brunner

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Publication details

JournalPhysical Review Letters
DatePublished - 4 Nov 2016
Volume117
Number of pages6
Original languageEnglish

Abstract

Constructing local hidden variable (LHV) models for entangled quantum states is a fundamental problem, with implications for the foundations of quantum theory and for quantum information processing. It is, however, a challenging problem, as the model should reproduce quantum predictions for all possible local measurements. Here we present a simple method for building LHV models, applicable to any entangled state and considering continuous sets of measurements. This leads to a sequence of tests which, in the limit, fully captures the set of quantum states admitting a LHV model. Similar methods are developed for local hidden state models. We illustrate the practical relevance of these methods with several examples.

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