Algorithmic Construction of Local Hidden Variable Models for Entangled Quantum States

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

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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.
Original languageEnglish
Article number190402
Number of pages6
JournalPhysical Review Letters
Issue number19
Publication statusPublished - 4 Nov 2016

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