Markov property of Gaussian states of canonical commutation relation algebras

Dénes Petz, József Pitrik

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

The Markov property of Gaussian states of canonical commutation relation algebras is studied. The detailed description is given by the representing block matrix. The proof is short and allows infinite dimension. The relation to classical Gaussian Markov triplets is also described. The minimizer of relative entropy with respect to a Gaussian Markov state has the Markov property. The appendix contains formulas for the relative entropy.

Original languageEnglish
Article number113517
JournalJournal of Mathematical Physics
Volume50
Issue number11
DOIs
Publication statusPublished - Dec 24 2009

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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