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Zbl 1022.46037
Moriya, Hajime
Some aspects of quantum entanglement for CAR systems.
(English)
[J] Lett. Math. Phys. 60, No.2, 109-121 (2002). ISSN 0377-9017; ISSN 1573-0530/e

Summary: 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, namely half-sided entanglement.
MSC 2000:
*46L30 States of C*-algebras
81P68 Quantum computation and quantum cryptography
94A17 Measures of information

Keywords: quantum entanglement; CAR systems

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Highlights
Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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