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dc.contributor.authorChen, J.en_US
dc.contributor.authorJi, Z.en_US
dc.contributor.authorKlyachko, A.en_US
dc.contributor.authorKribs, D. W.en_US
dc.contributor.authorZeng, B.en_US
dc.date.accessioned2016-02-08T09:48:32Z
dc.date.available2016-02-08T09:48:32Z
dc.date.issued2012en_US
dc.identifier.issn0022-2488
dc.identifier.urihttp://hdl.handle.net/11693/21594
dc.description.abstractWe address the problem of how simple a solution can be for a given quantum local consistency instance. More specifically, we investigate how small the rank of the global density operator can be if the local constraints are known to be compatible. We prove that any compatible local density operators can be satisfied by a low rank global density operator. Then we study both fermionic and bosonic versions of the N-representability problem as applications. After applying the channel-state duality, we prove that any compatible local channels can be obtained through a global quantum channel with small Kraus rank. © 2012 American Institute of Physics.en_US
dc.language.isoEnglishen_US
dc.source.titleJournal of Mathematical Physicsen_US
dc.relation.isversionofhttp://dx.doi.org/10.1063/1.3685644en_US
dc.titleRank reduction for the local consistency problemen_US
dc.typeArticleen_US
dc.departmentDepartment of Mathematicsen_US
dc.citation.spage022202-1en_US
dc.citation.epage022202-8en_US
dc.citation.volumeNumber53en_US
dc.citation.issueNumber2en_US
dc.identifier.doi10.1063/1.3685644en_US
dc.publisherA I P Publishingen_US
dc.identifier.eissn1089-7658


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