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Communications in Mathematical Physics

, Volume 65, Issue 3, pp 281–294 | Cite as

Non-Markovian quantum stochastic processes and their entropy

  • Göran Lindblad
Article

Abstract

A definition of a quantum stochastic process (QSP) in discrete time capable of describing non-Markovian effects is introduced. The formalism is based directly on the physically relevant correlation functions. The notion of complete positivity is used as the main mathematical tool. Two different but equivalent canonical representations of a QSP in terms of completely positive maps are derived. A quantum generalization of the Kolmogorov-Sinai entropy is proved to exist.

Keywords

Entropy Neural Network Statistical Physic Correlation Function Complex System 
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 1979

Authors and Affiliations

  • Göran Lindblad
    • 1
  1. 1.Department of Theoretical PhysicsRoyal Institute of TechnologyStockholm 70Sweden

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