Bipartite quantum systems: on the realignment criterion and beyond

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dc.creatorLupo, Cosmo
dc.creatorAniello, Paolo
dc.creatorScardicchio, Antonello
dc.date2008-02-14
dc.date2008-08-01
dc.date.accessioned2026-07-07T10:02:39Z
dc.date.available2026-07-07T10:02:39Z
dc.descriptionInspired by the `computable cross norm' or `realignment' criterion, we propose a new point of view about the characterization of the states of bipartite quantum systems. We consider a Schmidt decomposition of a bipartite density operator. The corresponding Schmidt coefficients, or the associated symmetric polynomials, are regarded as quantities that can be used to characterize bipartite quantum states. In particular, starting from the realignment criterion, a family of necessary conditions for the separability of bipartite quantum states is derived. We conjecture that these conditions, which are weaker than the parent criterion, can be strengthened in such a way to obtain a new family of criteria that are independent of the original one. This conjecture is supported by numerical examples for the low dimensional cases. These ideas can be applied to the study of quantum channels, leading to a relation between the rate of contraction of a map and its ability to preserve entanglement.
dc.description19 pages, 4 figures, improved version
dc.identifierhttps://arxiv.org/abs/0802.2019
dc.identifierhttp://arxiv.org/abs/0802.2019
dc.identifierJ. Phys. A: Math. Theor. 41 (2008) 415301
dc.identifierdoi:10.1088/1751-8113/41/41/415301
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169047
dc.subjectQuantum Physics
dc.titleBipartite quantum systems: on the realignment criterion and beyond
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