2012-02-01, English, Article, Report edition: Random repeated quantum interactions and random invariant states.(Report) Nechita, Ion; Pellegrini, Clement

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Physical Description
  • Report
  • Magazine/​Journal article
Published
  • Springer, 2012 Feb
Language
  • English

Edition details

Title
  • Random repeated quantum interactions and random invariant states.(Report)
Also Titled
  • Random repeated quantum interactions and random invariant states.
Appears In
  • Probability Theory and Related Fields, v.152, no.1-2, 2012 Feb, p.299(22) (ISSN: 0178-8051)
Author
  • Nechita, Ion
  • Pellegrini, Clement
Published
  • Springer, 2012 Feb
Physical Description
  • Report
  • Magazine/​Journal article
Subjects
Target Audience
  • Academic
Summary
  • Byline: Ion Nechita (1), Clement Pellegrini (2) Keywords: Quantum repeated interactions; Random quantum channels; Random matrices; Peripheral spectrum; Random density matrices; Primary 15A52; Secondary 94A40; 60F15 Abstract: We consider a generalized model of repeated quantum interactions, where a system H is interacting in a random way with a sequence of independent quantum systems K.sub.n, n [greater than or equal to] 1 . Two types of randomness are studied in detail. One is provided by considering Haar-distributed unitaries to describe each interaction between H and K.sub.n . The other involves random quantum states describing each copy K.sub.n . In the limit of a large number of interactions, we present convergence results for the asymptotic state of H . This is achieved by studying spectral properties of (random) quantum channels which guarantee the existence of unique invariant states. Finally this allows to introduce a new physically motivated ensemble of random density matrices called the asymptotic induced ensemble. Author Affiliation: (1) Institut Camille Jordan, Universite de Lyon, 43 blvd du 11 novembre 1918, 69622, Villeurbanne-Cedex, France (2) School of Physics and National Institue for Theoretical Physics, University of KwaZulu Natal, Private Bag X54001, Durban, 4000, South Africa Article History: Registration Date: 21/​09/​2010 Received Date: 09/​02/​2009 Online Date: 05/​10/​2010
Terms of Use
  • COPYRIGHT 2012 Springer
Language
  • English
Database
  • Gale Academic OneFile
Identifier
  • 276902431

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