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dc.contributor.authorBanerjee, S.
dc.contributor.authorPatel, A.A.
dc.contributor.authorPanigrahi, P.K.
dc.date.accessioned2020-03-31T08:38:37Z-
dc.date.available2020-03-31T08:38:37Z-
dc.date.issued2019
dc.identifier.citationQuantum Information Processing, 2019, Vol.18, 10, pp.-en_US
dc.identifier.urihttp://idr.nitk.ac.in/jspui/handle/123456789/12038-
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.en_US
dc.titleMinimum distance of the boundary of the set of PPT states from the maximally mixed state using the geometry of the positive semidefinite coneen_US
dc.typeArticleen_US
Appears in Collections:1. Journal Articles

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