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Joint System Quantum Descriptions Arising from Local Quantumness

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Abstract

Bipartite correlations generated by non-signalling physical systems that admit a finite-dimensional local quantum description cannot exceed the quantum limits, i.e., they can always be interpreted as distant measurements of a bipartite quantum state. Here we consider the effect of dropping the assumption of finite dimensionality. Remarkably, we find that the same result holds provided that we relax the tensor structure of space-like separated measurements to mere commutativity. We argue why an extension of this result to tensor representations seems unlikely.

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Authors and Affiliations

  1. Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad Complutense de Madrid, Madrid, 28040, Spain

    Tom Cooney, Miguel Navascués, David Pérez-García & Ignacio Villanueva

  2. Department of Mathematics, University of Illinois at Urbana-Champaign, Illinois, 61801-2975, USA

    Marius Junge

  3. School of Physics, University of Bristol, Bristol, BS8 1TL, UK

    Miguel Navascués

Authors
  1. Tom Cooney
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  2. Marius Junge
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  3. Miguel Navascués
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  4. David Pérez-García
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  5. Ignacio Villanueva
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Corresponding author

Correspondence to Ignacio Villanueva.

Additional information

Communicated by M. B. Ruskai

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Cooney, T., Junge, M., Navascués, M. et al. Joint System Quantum Descriptions Arising from Local Quantumness. Commun. Math. Phys. 322, 501–513 (2013). https://doi.org/10.1007/s00220-013-1696-z

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  • DOI: https://doi.org/10.1007/s00220-013-1696-z

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