Distinguishability measures and entropies for general probabilistic theories

Gen Kimura, Koji Nuida, Hideki Imai

研究成果: Article

21 引用 (Scopus)

抄録

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.

元の言語English
ページ(範囲)175-206
ページ数32
ジャーナルReports on Mathematical Physics
66
発行部数2
DOI
出版物ステータスPublished - 2010 10
外部発表Yes

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theorems
entropy
information theory
quantum theory
disturbances

ASJC Scopus subject areas

  • Mathematical Physics
  • Statistical and Nonlinear Physics

これを引用

Distinguishability measures and entropies for general probabilistic theories. / Kimura, Gen; Nuida, Koji; Imai, Hideki.

:: Reports on Mathematical Physics, 巻 66, 番号 2, 10.2010, p. 175-206.

研究成果: Article

Kimura, Gen ; Nuida, Koji ; Imai, Hideki. / Distinguishability measures and entropies for general probabilistic theories. :: Reports on Mathematical Physics. 2010 ; 巻 66, 番号 2. pp. 175-206.
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