Unifying several separability conditions using the covariance matrix criterion

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dc.creatorGittsovich, Oleg
dc.creatorGühne, Otfried
dc.creatorHyllus, Philipp
dc.creatorEisert, Jens
dc.date2008-03-06
dc.date2008-08-22
dc.date.accessioned2026-07-07T12:08:27Z
dc.date.available2026-07-07T12:08:27Z
dc.descriptionWe present a framework for deciding whether a quantum state is separable or entangled using covariance matrices of locally measurable observables. This leads to the covariance matrix criterion as a general separability criterion. We demonstrate that this criterion allows to detect many states where the familiar criterion of the positivity of the partial transpose fails. It turns out that a large number of criteria which have been proposed to complement the positive partial transpose criterion - the computable cross norm or realignment criterion, the criterion based on local uncertainty relations, criteria derived from extensions of the realignment map, and others - are in fact a corollary of the covariance matrix criterion.
dc.description19 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/0803.0757
dc.identifierhttp://arxiv.org/abs/0803.0757
dc.identifierPhys. Rev. A 78, 052319 (2008)
dc.identifierdoi:10.1103/PhysRevA.78.052319
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/209326
dc.subjectQuantum Physics
dc.titleUnifying several separability conditions using the covariance matrix criterion
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