### 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 language | English |
---|---|

Pages (from-to) | 3343-3350 |

Number of pages | 8 |

Journal | Linear Algebra and Its Applications |

Volume | 432 |

Issue number | 12 |

DOIs | |

Publication status | Published - Jul 1 2010 |

### Fingerprint

### 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

*Linear Algebra and Its Applications*,

*432*(12), 3343-3350. https://doi.org/10.1016/j.laa.2010.01.025

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

Research output: Contribution to journal › Article

*Linear Algebra and Its Applications*, vol. 432, no. 12, pp. 3343-3350. https://doi.org/10.1016/j.laa.2010.01.025

}

TY - JOUR

T1 - Maps on states preserving the relative entropy II

AU - Molnár, L.

AU - Szokol, Patrícia

PY - 2010/7/1

Y1 - 2010/7/1

N2 - 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.

AB - 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.

KW - Density operators

KW - Preservers

KW - Quantum states

KW - Relative entropy

UR - http://www.scopus.com/inward/record.url?scp=77950371347&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77950371347&partnerID=8YFLogxK

U2 - 10.1016/j.laa.2010.01.025

DO - 10.1016/j.laa.2010.01.025

M3 - Article

AN - SCOPUS:77950371347

VL - 432

SP - 3343

EP - 3350

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

SN - 0024-3795

IS - 12

ER -