arXiv:1512.00262 · Physical Review Letters

Algorithmic Construction of Local Hidden Variable Models for Entangled Quantum States

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

Published Nov 4, 2016• 76 citations

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.

DOI: 10.1103/physrevlett.117.190402

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