Maps on states preserving the relative entropy II

Lajos Molnár, Patrícia Szokol

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

Let H be a finite-dimensional complex Hilbert space. The aim of this paper is to prove that every transformation on the space of all density operators on H which preserves the relative entropy is implemented by either a unitary or an antiunitary operator on H.

Original languageEnglish
Pages (from-to)3343-3350
Number of pages8
JournalLinear Algebra and Its Applications
Volume432
Issue number12
DOIs
Publication statusPublished - Jul 1 2010

Keywords

  • Density operators
  • Preservers
  • Quantum states
  • Relative entropy

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Numerical Analysis
  • Geometry and Topology
  • Discrete Mathematics and Combinatorics

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