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Entropic dimension for completely positive maps

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Publication:1824255
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DOI10.1007/BF01023869zbMath0682.58013OpenAlexW2077923391MaRDI QIDQ1824255

Heide Narnhofer, Fabio Benatti

Publication date: 1988

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01023869

zbMATH Keywords

completely positive mapcontraction semigroupentropic dimensionquantum dynamical entropy


Mathematics Subject Classification ID

Calculus on manifolds; nonlinear operators (58C99) Maps and general types of topological spaces defined by maps (54C99) Semigroups (20M99)


Related Items

An example of an infinite system with zero quantum dynamical entropy, Deterministic quantum noise and Kolmogorov systems



Cites Work

  • Unnamed Item
  • Dynamical entropy and the third law of thermodynamics
  • Dynamical entropy of quasifree automorphisms
  • Dynamical entropy of C *-algebras and von Neumann algebras
  • Entropy for automorphisms of \(II_1\) von Neumann algebras
  • On the generators of quantum dynamical semigroups
  • Irreversible dynamics of infinite Fermion systems
  • Space-time ergodic properties of systems of infinitely many independent particles
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