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Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/7443
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dc.contributor.authorJebarathinam, C.-
dc.contributor.authorHome, Dipankar-
dc.contributor.authorSinha, Urbasi-
dc.date.accessioned2020-03-05T08:35:14Z-
dc.date.available2020-03-05T08:35:14Z-
dc.date.issued2020-02-24-
dc.identifier.citationPhysical Review A, 2020 ,Vol.101, p022112en_US
dc.identifier.issn2469-9926-
dc.identifier.issn2469-9934 (online)-
dc.identifier.urihttp://hdl.handle.net/2289/7443-
dc.descriptionOpen Access.en_US
dc.description.abstractA scheme for characterizing entanglement using the statistical measure of correlation given by the Pearson correlation coefficient (PCC) was recently suggested that has remained unexplored beyond the qubit case. Towards the application of this scheme for the high dimensional states, a key step has been taken in a very recent work by experimentally determining PCC and analytically relating it to Negativity for quantifying entanglement of the empirically produced bipartite pure state of spatially correlated photonic qutrits. Motivated by this work, we present here a comprehensive study of the efficacy of such an entanglement characterizing scheme for a range of bipartite qutrit states by considering suitable combinations of PCCs based on a limited number of measurements. For this purpose, we investigate the issue of necessary and sufficient certification together with quantification of entanglement for the two-qutrit states comprising maximally entangled state mixed with white noise and coloured noise in two different forms respectively. Further, by considering these classes of states for d=4 and 5, extension of this PCC based approach for higher dimensions d is discussed.en_US
dc.language.isoenen_US
dc.publisherAmerican Physical Societyen_US
dc.relation.urihttps://ui.adsabs.harvard.edu/abs/2019arXiv190901372J/abstracten_US
dc.relation.urihttps://arxiv.org/abs/1909.01372en_US
dc.relation.urihttps://doi.org/10.1103/PhysRevA.101.022112en_US
dc.rights2020 American Physical Societyen_US
dc.titlePearson correlation coefficient as a measure for certifying and quantifying high-dimensional entanglementen_US
dc.typeArticleen_US
Appears in Collections:Research Papers (LAMP)

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