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Quantum Correlations: Challenging the Tsirelson Bound

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Quantum Interaction (QI 2015)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9535))

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Abstract

A detailed study of quantum correlations reveals that reconstructions based on physical principles often fail to reproduce the quantum bound in the general case of N-partite correlations. We read here an indication that the notion of system, implicitly assumed in the operational approaches, becomes problematic. Our approach addresses this issue using algebraic coding theory. If the observer is defined by a limit on string complexity, information dynamics leads to an emergent continuous model in the critical regime. Restricting it to a family of binary codes describing ‘bipartite systems,’ we find strong evidence of an upper bound on bipartite correlations equal to 2.82537, which is measurably lower than the Tsirelson bound.

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Authors and Affiliations

  1. CEA-Saclay/IRFU/LARSIM, 91191, Gif-sur-Yvette, France

    Alexei Grinbaum

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  1. Alexei Grinbaum
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Correspondence to Alexei Grinbaum .

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Editors and Affiliations

  1. ETH Zurich, Zurich, Switzerland

    Harald Atmanspacher

  2. University of Freiburg, Freiburg, Germany

    Thomas Filk

  3. City University London, London, United Kingdom

    Emmanuel Pothos

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Grinbaum, A. (2016). Quantum Correlations: Challenging the Tsirelson Bound. In: Atmanspacher, H., Filk, T., Pothos, E. (eds) Quantum Interaction. QI 2015. Lecture Notes in Computer Science(), vol 9535. Springer, Cham. https://doi.org/10.1007/978-3-319-28675-4_1

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  • DOI: https://doi.org/10.1007/978-3-319-28675-4_1

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-28674-7

  • Online ISBN: 978-3-319-28675-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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