Minimum distance of the boundary of the set of PPT states from the maximally mixed state using the geometry of the positive semidefinite cone

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dc.contributor.authorBanerjee, S.
dc.contributor.authorPatel, A.A.
dc.contributor.authorPanigrahi, P.K.
dc.date.accessioned2026-02-05T09:29:35Z
dc.date.issued2019
dc.description.abstractUsing a geometric measure of entanglement quantification based on Euclidean distance of the Hermitian matrices (Patel and Panigrahi in Geometric measure of entanglement based on local measurement, 2016. arXiv:1608.06145), we obtain the minimum distance between the set of bipartite n-qudit density matrices with a positive partial transpose and the maximally mixed state. This minimum distance is obtained as 1dn(dn-1), which is also the minimum distance within which all quantum states are separable. An idea of the interior of the set of all positive semidefinite matrices has also been provided. A particular class of Werner states has been identified for which the PPT criterion is necessary and sufficient for separability in dimensions greater than six. © 2019, Springer Science+Business Media, LLC, part of Springer Nature.
dc.identifier.citationQuantum Information Processing, 2019, 18, 10, pp. -
dc.identifier.issn15700755
dc.identifier.urihttps://doi.org/10.1007/s11128-019-2411-6
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/24363
dc.publisherSpringer New York LLC barbara.b.bertram@gsk.com
dc.subjectGeometry
dc.subjectMatrix algebra
dc.subjectEntanglement
dc.subjectPartial transpose
dc.subjectPositive semidefinite
dc.subjectPPT criterion
dc.subjectSeparability
dc.subjectWerner state
dc.subjectQuantum entanglement
dc.titleMinimum distance of the boundary of the set of PPT states from the maximally mixed state using the geometry of the positive semidefinite cone

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