Maps on states preserving the relative entropy II

L. 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

Fingerprint

Density Operator
Relative Entropy
Hilbert spaces
Entropy
Hilbert space
Operator

Keywords

  • Density operators
  • Preservers
  • Quantum states
  • Relative entropy

ASJC Scopus subject areas

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

Cite this

Maps on states preserving the relative entropy II. / Molnár, L.; Szokol, Patrícia.

In: Linear Algebra and Its Applications, Vol. 432, No. 12, 01.07.2010, p. 3343-3350.

Research output: Contribution to journalArticle

Molnár, L. ; Szokol, Patrícia. / Maps on states preserving the relative entropy II. In: Linear Algebra and Its Applications. 2010 ; Vol. 432, No. 12. pp. 3343-3350.
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