Markov property and strong additivity of von Neumann entropy for graded quantum systems

Hajime Moriya

研究成果: Article

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The quantum Markov property is equivalent to the strong additivity of von Neumann entropy for graded quantum systems. The additivity of von Neumann entropy for bipartite graded systems implies the statistical independence of states. However, the structure of Markov states for graded systems is different from that for tensor-product systems which have trivial grading. For three-composed graded systems we have U(1)-gauge invariant Markov states whose restriction to the marginal pair of subsystems is nonseparable.

元の言語English
記事番号033510
ジャーナルJournal of Mathematical Physics
47
発行部数3
DOI
出版物ステータスPublished - 2006 4 14

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ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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