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Matrix Product States, Random Matrix Theory and the Principle of Maximum Entropy

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Abstract

Using random matrix techniques and the theory of Matrix Product States we show that reduced density matrices of quantum spin chains have generically maximum entropy.

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Authors and Affiliations

  1. Département de Mathématique et Statistique, Université d’Ottawa, K1N6N5, Ottawa, Canada

    Benoît Collins

  2. CNRS, Institut Camille Jordan Universite Lyon 1, 69622, Villeurbanne, France

    Benoît Collins

  3. Departamento de Matemáticas, E.T.S.I. Industriales, Universidad Politécnica de Madrid, 28006, Madrid, Spain

    Carlos E. González-Guillén

  4. Departamento Análisis Matemático, Universidad Complutense de Madrid, 28040, Madrid, Spain

    David Pérez-García

  5. IMI, Universidad Complutense de Madrid, 28040, Madrid, Spain

    Carlos E. González-Guillén & David Pérez-García

Authors
  1. Benoît Collins
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  2. Carlos E. González-Guillén
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  3. David Pérez-García
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Corresponding author

Correspondence to David Pérez-García.

Additional information

Communicated by H.-T. Yau

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Collins, B., González-Guillén, C.E. & Pérez-García, D. Matrix Product States, Random Matrix Theory and the Principle of Maximum Entropy. Commun. Math. Phys. 320, 663–677 (2013). https://doi.org/10.1007/s00220-013-1718-x

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  • DOI: https://doi.org/10.1007/s00220-013-1718-x

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