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

Hajime Moriya

研究成果: Article査読

2 被引用数 (Scopus)

抄録

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.

本文言語English
論文番号033510
ジャーナルJournal of Mathematical Physics
47
3
DOI
出版ステータスPublished - 2006
外部発表はい

ASJC Scopus subject areas

  • 統計物理学および非線形物理学
  • 数理物理学

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