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

Hajime Moriya

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

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.

Original languageEnglish
Article number033510
JournalJournal of Mathematical Physics
Volume47
Issue number3
DOIs
Publication statusPublished - 2006
Externally publishedYes

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entropy
constrictions
tensors
products

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Markov property and strong additivity of von Neumann entropy for graded quantum systems. / Moriya, Hajime.

In: Journal of Mathematical Physics, Vol. 47, No. 3, 033510, 2006.

Research output: Contribution to journalArticle

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