Inductive entanglement classification of four qubits under stochastic local operations and classical communication

9 pages, 1 table.-- PACS nrs.: 03.67.Mn; 03.65.Ud; 02.10.Yn.-- ArXiv pre-print available at: http://arxiv.org/abs/quant-ph/0610233

Detalles Bibliográficos
Autores: Lamata, Lucas, León, Juan, Salgado, D., Solano, Enrique
Tipo de recurso: artículo
Fecha de publicación:2007
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/12270
Acceso en línea:http://hdl.handle.net/10261/12270
Access Level:acceso abierto
Palabra clave:Quantum entanglement
Quantum computing
Stochastic processes
Quantum communications
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spelling Inductive entanglement classification of four qubits under stochastic local operations and classical communicationLamata, LucasLeón, JuanSalgado, D.Solano, EnriqueQuantum entanglementQuantum computingStochastic processesQuantum communications9 pages, 1 table.-- PACS nrs.: 03.67.Mn; 03.65.Ud; 02.10.Yn.-- ArXiv pre-print available at: http://arxiv.org/abs/quant-ph/0610233Using an inductive approach to classify multipartite entangled states under stochastic local operations and classical communication introduced recently by the authors [Phys. Rev. A 74, 052336 (2006)], we give the complete classification of four-qubit entangled pure states. Apart from the expected degenerate classes, we show that there exist eight inequivalent ways to entangle four qubits. In this respect, permutation symmetry is taken into account and states with a structure differing only by parameters inside a continuous set are considered to belong to the same class.L.L. and J.L. acknowledge financial support from the Spanish MEC projects No. FIS2005-05304, D.S. from No. FIS2004-01576, and E.S. from EU RESQ, EuroSQIP, and DFG SFB631 projects. L.L. also acknowledges support from FPU Grant No. AP2003-0014.Peer reviewedAmerican Physical Society200920092007info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501151936 bytesapplication/pdfhttp://hdl.handle.net/10261/12270reponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)Ingléshttp://dx.doi.org/10.1103/PhysRevA.75.022318info:eu-repo/semantics/openAccessoai:digital.csic.es:10261/122702026-05-22T06:33:51Z
dc.title.none.fl_str_mv Inductive entanglement classification of four qubits under stochastic local operations and classical communication
title Inductive entanglement classification of four qubits under stochastic local operations and classical communication
spellingShingle Inductive entanglement classification of four qubits under stochastic local operations and classical communication
Lamata, Lucas
Quantum entanglement
Quantum computing
Stochastic processes
Quantum communications
title_short Inductive entanglement classification of four qubits under stochastic local operations and classical communication
title_full Inductive entanglement classification of four qubits under stochastic local operations and classical communication
title_fullStr Inductive entanglement classification of four qubits under stochastic local operations and classical communication
title_full_unstemmed Inductive entanglement classification of four qubits under stochastic local operations and classical communication
title_sort Inductive entanglement classification of four qubits under stochastic local operations and classical communication
dc.creator.none.fl_str_mv Lamata, Lucas
León, Juan
Salgado, D.
Solano, Enrique
author Lamata, Lucas
author_facet Lamata, Lucas
León, Juan
Salgado, D.
Solano, Enrique
author_role author
author2 León, Juan
Salgado, D.
Solano, Enrique
author2_role author
author
author
dc.subject.none.fl_str_mv Quantum entanglement
Quantum computing
Stochastic processes
Quantum communications
topic Quantum entanglement
Quantum computing
Stochastic processes
Quantum communications
description 9 pages, 1 table.-- PACS nrs.: 03.67.Mn; 03.65.Ud; 02.10.Yn.-- ArXiv pre-print available at: http://arxiv.org/abs/quant-ph/0610233
publishDate 2007
dc.date.none.fl_str_mv 2007
2009
2009
dc.type.none.fl_str_mv info:eu-repo/semantics/article
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dc.identifier.none.fl_str_mv http://hdl.handle.net/10261/12270
url http://hdl.handle.net/10261/12270
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv http://dx.doi.org/10.1103/PhysRevA.75.022318
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 151936 bytes
application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv reponame:DIGITAL.CSIC. Repositorio Institucional del CSIC
instname:Consejo Superior de Investigaciones Científicas (CSIC)
instname_str Consejo Superior de Investigaciones Científicas (CSIC)
reponame_str DIGITAL.CSIC. Repositorio Institucional del CSIC
collection DIGITAL.CSIC. Repositorio Institucional del CSIC
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