Maps on states preserving the relative entropy

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Abstract

Let H be a finite dimensional Hilbert space. The aim of this short note is to prove that every bijective map on the space S (H) of all density operators on H which preserves the relative entropy is of the form φ (ρ) =Uρ U* with some unitary or antiunitary operator U on H.

Original languageEnglish
Article number032114
JournalJournal of Mathematical Physics
Volume49
Issue number3
DOIs
Publication statusPublished - Apr 8 2008

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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