Entanglement universality of two-qubit X-states

dc.contributorUniv Queensland
dc.contributorUniversidade Estadual Paulista (Unesp)
dc.creatorMendonca, Paulo E. M. F.
dc.creatorMarchiolli, Marcelo A.
dc.creatorGaletti, Diogenes [UNESP]
dc.date2015-03-18T15:53:16Z
dc.date2015-03-18T15:53:16Z
dc.date2014-12-01
dc.date.accessioned2023-09-09T11:04:17Z
dc.date.available2023-09-09T11:04:17Z
dc.identifierhttp://dx.doi.org/10.1016/j.aop.2014.08.017
dc.identifierAnnals Of Physics. San Diego: Academic Press Inc Elsevier Science, v. 351, p. 79-103, 2014.
dc.identifier0003-4916
dc.identifierhttp://hdl.handle.net/11449/116411
dc.identifier10.1016/j.aop.2014.08.017
dc.identifierWOS:000346451900007
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/8765896
dc.descriptionWe demonstrate that for every two-qubit state there is a X-counterpart, i.e., a corresponding two-qubit X-state of same spectrum and entanglement, as measured by concurrence, negativity or relative entropy of entanglement. By parametrizing the set of two-qubit X-states and a family of unitary transformations that preserve the sparse structure of a two-qubit X-state density matrix, we obtain the parametric form of a unitary transformation that converts arbitrary two-qubit states into their X-counterparts. Moreover, we provide a semi-analytic prescription on how to set the parameters of this unitary transformation in order to preserve concurrence or negativity. We also explicitly construct a set of X-state density matrices, parametrized by their purity and concurrence, whose elements are in one-to-one correspondence with the points of the concurrence versus purity (CP) diagram for generic two-qubit states. (C) 2014 Elsevier Inc. All rights reserved.
dc.descriptionBrazilian Air Force
dc.descriptionprogram "Ciencia sem Fronteiras"
dc.descriptionUniv Queensland, Sch Math & Phys, ARC Ctr Engn Quantum Syst, St Lucia, Qld 4072, Australia
dc.descriptionUniv Estadual Paulista, Inst Fis Teor, BR-01140070 Sao Paulo, Brazil
dc.descriptionUniv Estadual Paulista, Inst Fis Teor, BR-01140070 Sao Paulo, Brazil
dc.descriptionprogram Ciencia sem Fronteiras200024/2014-0
dc.format79-103
dc.languageeng
dc.publisherElsevier B.V.
dc.relationAnnals Of Physics
dc.relation2.367
dc.relation0,987
dc.rightsAcesso restrito
dc.sourceWeb of Science
dc.subjectEntanglement
dc.subjectConcurrence
dc.subjectNegativity
dc.subjectRelative entropy of entanglement
dc.subjectX-state
dc.titleEntanglement universality of two-qubit X-states
dc.typeArtigo


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