Some aspects of quantum entanglement for CAR systems

Hajime Moriya

doi:10.1023/A:1016158125660

Some aspects of quantum entanglement for CAR systems

Hajime Moriya

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

15 Citations (Scopus)

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
Pages (from-to)	109-121
Number of pages	13
Journal	Letters in Mathematical Physics
Volume	60
Issue number	2
DOIs	https://doi.org/10.1023/A:1016158125660
Publication status	Published - 2002 May

Keywords

Car systems
Entropy inequality
Quantum entanglement

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

Access to Document

10.1023/A:1016158125660

Cite this

@article{205afdf1a0044b2b95f56ff818274c57,

title = "Some aspects of quantum entanglement for CAR systems",

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.",

keywords = "Car systems, Entropy inequality, Quantum entanglement",

author = "Hajime Moriya",

note = "Funding Information: The author acknowledges the JSPS postdoctoral fellowship. He also thanks H. Araki and H. Narnhofer for their comments on this work.",

year = "2002",

month = may,

doi = "10.1023/A:1016158125660",

language = "English",

volume = "60",

pages = "109--121",

journal = "Letters in Mathematical Physics",

issn = "0377-9017",

publisher = "Springer Netherlands",

number = "2",

}

TY - JOUR

T1 - Some aspects of quantum entanglement for CAR systems

AU - Moriya, Hajime

N1 - Funding Information: The author acknowledges the JSPS postdoctoral fellowship. He also thanks H. Araki and H. Narnhofer for their comments on this work.

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

AN - SCOPUS:0038230662

SN - 0377-9017

VL - 60

SP - 109

EP - 121

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

IS - 2

ER -

Some aspects of quantum entanglement for CAR systems

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this