Entropies in general probabilistic theories and their application to the Holevo bound

Gen Kimura, Junji Ishiguro, and Makoto Fukui
Phys. Rev. A 94, 042113 – Published 17 October 2016

Abstract

General probabilistic theories are designed to provide operationally the most general probabilistic models including both classical and quantum theories. In this paper, we introduce a systematic method to construct a series of entropies, all of which generalize Shannon entropy in classical systems and von Neumann entropy in quantum systems. Using these entropies, the Holevo bound, an upper bound of the accessible information from a quantum system, is generalized to hold in any general probabilistic theory.

  • Figure
  • Received 27 April 2016
  • Revised 24 July 2016

DOI:https://doi.org/10.1103/PhysRevA.94.042113

©2016 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & TechnologyGeneral Physics

Authors & Affiliations

Gen Kimura1,*, Junji Ishiguro1, and Makoto Fukui2

  • 1Shibaura Institute of Technology, Saitama 337-8570, Japan
  • 2Keio University, Tokyo 108-8345, Japan

  • *gen@shibaura-it.ac.jp

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Issue

Vol. 94, Iss. 4 — October 2016

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