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Partial Traces and the Geometry of Entanglement; Sufficient Conditions for the Separability of Gaussian States.

2022Journal article Restricted access
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dc.contributor.authorDias, N. C.
dc.contributor.authorGossan, M. de
dc.contributor.authorPrata, J. N.
dc.date.accessioned2025-05-15T14:56:11Z
dc.date.available2025-05-15T14:56:11Z
dc.date.issued2022
dc.description.abstractThe notion of partial trace of a density operator is essential for the understanding of the entanglement and separability properties of quantum states. In this paper, we investigate these notions putting an emphasis on the geometrical properties of the covariance ellipsoids of the reduced states. We thereafter focus on Gaussian states and we give new and easily numerically implementable sufficient conditions for the separability of all Gaussian states. Unlike the positive partial transposition criterion, none of these conditions is however necessary.eng
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationDias, N. C., de Gosson, M., & Prata, J. N. (2022). Partial traces and the geometry of entanglement: Sufficient conditions for the separability of Gaussian states. Reviews in Mathematical Physics, 34(03).
dc.identifier.doi10.1142/S0129055X22500052
dc.identifier.issn0129-055X
dc.identifier.urihttp://hdl.handle.net/10400.26/57830
dc.language.isoengpt_PT
dc.peerreviewedyes
dc.publisherWorld Scientific
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectQuantum entanglement
dc.subjectseparability criteria
dc.subjectGaussian states
dc.subjectWigner functions
dc.titlePartial Traces and the Geometry of Entanglement; Sufficient Conditions for the Separability of Gaussian States.pt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.citation.issue3pt_PT
oaire.citation.startPage2250005
oaire.citation.titleReviews in Mathematical Physicspt_PT
oaire.citation.volume34pt_PT
oaire.versionhttp://purl.org/coar/version/c_970fb48d4fbd8a85
rcaap.rightsopenAccesspt_PT
rcaap.typearticlept_PT

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