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A formulation of Rényi entropy on \(C^\ast\)-algebras

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Publication:2105966
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DOI10.1007/s11128-019-2430-3OpenAlexW3123254516MaRDI QIDQ2105966

Noboru Watanabe, Kyouhei Ohmura, Farrukh Mukhamedov

Publication date: 8 December 2022

Published in: Quantum Information Processing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.03498


zbMATH Keywords

quantum entropyquantum information theoryoperator algebrasquantum statistical mechanicsRényi entropy\(\mathcal{S}\)-mixing entropy


Mathematics Subject Classification ID

Quantum equilibrium statistical mechanics (general) (82B10) Measures of information, entropy (94A17) Information theory (general) (94A15)


Related Items (1)

Note on complexity of communication processes



Cites Work

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  • A Mathematical Theory of Communication
  • Unified (r,s)-entropy and its bivariate measures
  • Entropy transmission in \(C^*\)-dynamical systems
  • Renyi entropy for local quenches in 2D CFT from numerical conformal blocks
  • On \(S\)-mixing entropy of quantum channels
  • Note on entropies of quantum dynamical systems
  • Quantum information theory and quantum statistics.
  • A coding theorem and Rényi's entropy
  • On the Foundations of Information Theory


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