Algorithmic Construction of Local Hidden Variable Models for Entangled Quantum States

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

doi:10.1103/PhysRevLett.117.190402

Algorithmic Construction of Local Hidden Variable Models for Entangled Quantum States

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

Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	190402
Number of pages	6
Journal	Physical Review Letters
Volume	117
Issue number	19
DOIs	https://doi.org/10.1103/PhysRevLett.117.190402
Publication status	Published - 4 Nov 2016

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10.1103/PhysRevLett.117.190402

PhysRevLett.117.190402
© 2016 American Physical Society. Uploaded in accordance with the publisher’s self-archiving policy. Further copying may not be permitted; contact the publisher for details
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https://arxiv.org/abs/1512.00262

Matthew Fairbairn Pusey
- matthew.puseyyork.acuk
- Mathematics - Lecturer in Quantum Information
Person: Academic

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title = "Algorithmic Construction of Local Hidden Variable Models for Entangled Quantum States",

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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AU - Brunner, Nicolas

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Algorithmic Construction of Local Hidden Variable Models for Entangled Quantum States

Abstract

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Matthew Fairbairn Pusey

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