### 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 language | English |
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Article number | 032114 |

Journal | Journal of Mathematical Physics |

Volume | 49 |

Issue number | 3 |

DOIs | |

Publication status | Published - Apr 8 2008 |

### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics

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## Cite this

Molnár, L. (2008). Maps on states preserving the relative entropy.

*Journal of Mathematical Physics*,*49*(3), [032114]. https://doi.org/10.1063/1.2898693