Communications in Mathematical Physics

, Volume 320, Issue 3, pp 663–677 | Cite as

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

  • Benoît Collins
  • Carlos E. González-Guillén
  • David Pérez-García
Article

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.

Keywords

Maximum Entropy Random Matrix Haar Measure Lipschitz Constant Reduce Density Matrix 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Benoît Collins
    • 1
    • 2
  • Carlos E. González-Guillén
    • 3
    • 5
  • David Pérez-García
    • 4
    • 5
  1. 1.Département de Mathématique et StatistiqueUniversité d’OttawaOttawaCanada
  2. 2.CNRSInstitut Camille Jordan Universite Lyon 1VilleurbanneFrance
  3. 3.Departamento de Matemáticas, E.T.S.I. IndustrialesUniversidad Politécnica de MadridMadridSpain
  4. 4.Departamento Análisis MatemáticoUniversidad Complutense de MadridMadridSpain
  5. 5.IMIUniversidad Complutense de MadridMadridSpain

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