Algorithmic Construction of Local Hidden Variable Models for Entangled Quantum States

Flavien Hirsch, Marco Túlio Quintino, Tamás Vértesi, Matthew F. Pusey, and Nicolas Brunner
Phys. Rev. Lett. 117, 190402 – Published 4 November 2016
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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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  • Received 4 December 2015

DOI:https://doi.org/10.1103/PhysRevLett.117.190402

© 2016 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & TechnologyGeneral Physics

Authors & Affiliations

Flavien Hirsch1, Marco Túlio Quintino1, Tamás Vértesi2, Matthew F. Pusey3, and Nicolas Brunner1

  • 1Département de Physique Théorique, Université de Genéve, 1211 Genéve, Switzerland
  • 2Institute for Nuclear Research, Hungarian Academy of Sciences, P.O. Box 51, H-4001 Debrecen, Hungary
  • 3Perimeter Institute for Theoretical Physics, 31 Caroline Street North, Waterloo, Ontario N2L 2Y5, Canada

See Also

General Method for Constructing Local Hidden Variable Models for Entangled Quantum States

D. Cavalcanti, L. Guerini, R. Rabelo, and P. Skrzypczyk
Phys. Rev. Lett. 117, 190401 (2016)

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Vol. 117, Iss. 19 — 4 November 2016

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