Entanglement and quantum groups

J. K. Korbicz; J. Wehr; M. Lewenstein

doi:10.1063/1.3143542

Entanglement and quantum groups

J. K. Korbicz
, J. Wehr
, M. Lewenstein

Mathematics

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

5 Scopus citations

Abstract

We describe quantum mechanical entanglement in terms of compact quantum groups. We prove an analog of positivity of partial transpose criterion and formulate a Horodecki-type theorem.

Original language	English (US)
Article number	062104
Journal	Journal of Mathematical Physics
Volume	50
Issue number	6
DOIs	https://doi.org/10.1063/1.3143542
State	Published - 2009

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1063/1.3143542

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@article{40886afb99e74d8cb19789650f13b3d8,

title = "Entanglement and quantum groups",

abstract = "We describe quantum mechanical entanglement in terms of compact quantum groups. We prove an analog of positivity of partial transpose criterion and formulate a Horodecki-type theorem.",

author = "Korbicz, \{J. K.\} and J. Wehr and M. Lewenstein",

note = "Funding Information: We would like to thank P. M. So{\l}tan for discussions. We acknowledge the support of the EU IP Programme “SCALA,” ESF PESC Programme “QUDEDIS,” Euroquam Programme FerMix, Trup Cualitat program of the Generalitat de Catalunya, Spanish MEC (Grant Nos. FIS 2005-04627, FIS2005-04627, and FIS2008-00784, Conslider Ingenio 2010 “QOIT,” Accionas Integradas). J.W. was partially supported by NSF Grant No. DMS 0623941. M.L. acknowledges Humboldt Foundation. ",

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volume = "50",

journal = "Journal of Mathematical Physics",

issn = "0022-2488",

publisher = "American Institute of Physics",

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TY - JOUR

T1 - Entanglement and quantum groups

AU - Korbicz, J. K.

AU - Wehr, J.

AU - Lewenstein, M.

N1 - Funding Information: We would like to thank P. M. Sołtan for discussions. We acknowledge the support of the EU IP Programme “SCALA,” ESF PESC Programme “QUDEDIS,” Euroquam Programme FerMix, Trup Cualitat program of the Generalitat de Catalunya, Spanish MEC (Grant Nos. FIS 2005-04627, FIS2005-04627, and FIS2008-00784, Conslider Ingenio 2010 “QOIT,” Accionas Integradas). J.W. was partially supported by NSF Grant No. DMS 0623941. M.L. acknowledges Humboldt Foundation.

PY - 2009

Y1 - 2009

N2 - We describe quantum mechanical entanglement in terms of compact quantum groups. We prove an analog of positivity of partial transpose criterion and formulate a Horodecki-type theorem.

AB - We describe quantum mechanical entanglement in terms of compact quantum groups. We prove an analog of positivity of partial transpose criterion and formulate a Horodecki-type theorem.

UR - https://www.scopus.com/pages/publications/67650488580

UR - https://www.scopus.com/pages/publications/67650488580#tab=citedBy

U2 - 10.1063/1.3143542

DO - 10.1063/1.3143542

M3 - Article

AN - SCOPUS:67650488580

SN - 0022-2488

VL - 50

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

IS - 6

M1 - 062104

ER -

Entanglement and quantum groups

Abstract

ASJC Scopus subject areas

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