Distinguishability measures and entropies for general probabilistic theories

Gen Kimura, Koji Nuida, Hideki Imai

Research output: Contribution to journalArticlepeer-review

42 Citations (Scopus)


As a part of the construction of an information theory based on general probabilistic theories, we propose and investigate several distinguishability measures and "entropies" in general probabilistic theories. As their applications, no-cloning theorems, information-disturbance theorems are reformulated, and a bound of the accessible informations is discussed in general probabilistic theories, not resorting to quantum theory. We also propose the principle of equality for pure states which makes general probabilistic theories more realistic, and we discuss the role of entropies as a measure of pureness.

Original languageEnglish
Pages (from-to)175-206
Number of pages32
JournalReports on Mathematical Physics
Issue number2
Publication statusPublished - 2010 Oct
Externally publishedYes


  • Distinguishability measures and entropies
  • Foundations of quantum theory
  • General probabilistic theories

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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