### 抄録

Basic properties of von Neumann entropy such as the triangle inequality and what we call MONO-SSA are studied for CAR systems. We show that both inequalities hold for every even state by using symmetric purification which is applicable to such a state. We construct a certain class of noneven states giving examples of the nonvalidity of those inequalities.

元の言語 | English |
---|---|

記事番号 | 033508 |

ジャーナル | Journal of Mathematical Physics |

巻 | 46 |

発行部数 | 3 |

DOI | |

出版物ステータス | Published - 2005 3 |

外部発表 | Yes |

### Fingerprint

### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
- Mathematical Physics

### これを引用

*Journal of Mathematical Physics*,

*46*(3), [033508]. https://doi.org/10.1063/1.1850995

**Validity and failure of some entropy inequalities for CAR systems.** / Moriya, Hajime.

研究成果: Article

*Journal of Mathematical Physics*, 巻. 46, 番号 3, 033508. https://doi.org/10.1063/1.1850995

}

TY - JOUR

T1 - Validity and failure of some entropy inequalities for CAR systems

AU - Moriya, Hajime

PY - 2005/3

Y1 - 2005/3

N2 - Basic properties of von Neumann entropy such as the triangle inequality and what we call MONO-SSA are studied for CAR systems. We show that both inequalities hold for every even state by using symmetric purification which is applicable to such a state. We construct a certain class of noneven states giving examples of the nonvalidity of those inequalities.

AB - Basic properties of von Neumann entropy such as the triangle inequality and what we call MONO-SSA are studied for CAR systems. We show that both inequalities hold for every even state by using symmetric purification which is applicable to such a state. We construct a certain class of noneven states giving examples of the nonvalidity of those inequalities.

UR - http://www.scopus.com/inward/record.url?scp=17744400133&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=17744400133&partnerID=8YFLogxK

U2 - 10.1063/1.1850995

DO - 10.1063/1.1850995

M3 - Article

AN - SCOPUS:17744400133

VL - 46

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 3

M1 - 033508

ER -