### Abstract

We show some distinct features of quantum entanglement for bipartite CAR systems such as the failure of triangle inequality of von Neumann entropy and the possible change of our entanglement degree under local operations. Those are due to the nonindependence of CAR systems and never occur in any algebraic independent systems. We introduce a new notion half-sided entanglement.

Original language | English |
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Pages (from-to) | 109-121 |

Number of pages | 13 |

Journal | Letters in Mathematical Physics |

Volume | 60 |

Issue number | 2 |

DOIs | |

Publication status | Published - 2002 May |

Externally published | Yes |

### Fingerprint

### Keywords

- Car systems
- Entropy inequality
- Quantum entanglement

### ASJC Scopus subject areas

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

### Cite this

*Letters in Mathematical Physics*,

*60*(2), 109-121. https://doi.org/10.1023/A:1016158125660

**Some aspects of quantum entanglement for CAR systems.** / Moriya, Hajime.

Research output: Contribution to journal › Article

*Letters in Mathematical Physics*, vol. 60, no. 2, pp. 109-121. https://doi.org/10.1023/A:1016158125660

}

TY - JOUR

T1 - Some aspects of quantum entanglement for CAR systems

AU - Moriya, Hajime

PY - 2002/5

Y1 - 2002/5

N2 - We show some distinct features of quantum entanglement for bipartite CAR systems such as the failure of triangle inequality of von Neumann entropy and the possible change of our entanglement degree under local operations. Those are due to the nonindependence of CAR systems and never occur in any algebraic independent systems. We introduce a new notion half-sided entanglement.

AB - We show some distinct features of quantum entanglement for bipartite CAR systems such as the failure of triangle inequality of von Neumann entropy and the possible change of our entanglement degree under local operations. Those are due to the nonindependence of CAR systems and never occur in any algebraic independent systems. We introduce a new notion half-sided entanglement.

KW - Car systems

KW - Entropy inequality

KW - Quantum entanglement

UR - http://www.scopus.com/inward/record.url?scp=0038230662&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0038230662&partnerID=8YFLogxK

U2 - 10.1023/A:1016158125660

DO - 10.1023/A:1016158125660

M3 - Article

VL - 60

SP - 109

EP - 121

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

SN - 0377-9017

IS - 2

ER -