A formulation of Rényi entropy on C -algebras

Farrukh Mukhamedov, Kyouhei Ohmura, Noboru Watanabe

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


The entropy of probability distribution defined by Shannon has several extensions. Renyi entropy is one of the general extensions of Shannon entropy and is widely used in engineering, physics, and so on. On the other hand, the quantum analogue of Shannon entropy is von Neumann entropy. Furthermore, the formulation of this entropy was extended to on C-algebras by Ohya (S-mixing entropy). In this paper, we formulate Renyi entropy on C-algebras based on S-mixing entropy and prove several inequalities for the uncertainties of states in various reference systems.

Original languageEnglish
Article number318
JournalQuantum Information Processing
Issue number10
Publication statusPublished - Oct 1 2019


  • Operator algebras
  • Quantum entropy
  • Quantum information theory
  • Quantum statistical mechanics
  • Rényi entropy
  • S-mixing entropy

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Statistical and Nonlinear Physics
  • Theoretical Computer Science
  • Signal Processing
  • Modelling and Simulation
  • Electrical and Electronic Engineering


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