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Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/8250
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dc.contributor.authorSadana, Simanraj-
dc.contributor.authorKanjilal, Som-
dc.contributor.authorHome, Dipankar-
dc.contributor.authorSinha, Urbasi-
dc.date.accessioned2024-04-12T08:18:47Z-
dc.date.available2024-04-12T08:18:47Z-
dc.date.issued2024-04-04-
dc.identifier.citationQuantum Information Processing, 2024, Vol. 23,p138en_US
dc.identifier.urihttp://hdl.handle.net/2289/8250-
dc.descriptionOpen Accessen_US
dc.description.abstractWe focus on characterising entanglement of high-dimensional bipartite states using various statistical correlators for two-qudit mixed states. The salient results obtained are as follows: (a) A scheme for determining the entanglement measure given by negativity is explored by analytically relating it to the widely used statistical correlators, viz. mutual predictability, mutual information and Pearson correlation coefficient, for different types of bipartite arbitrary-dimensional mixed states. Importantly, this is demonstrated using only a pair of complementary observables pertaining to the mutually unbiased bases. (b) The relations thus derived provide the separability bounds for detecting entanglement obtained for a fixed choice of the complementary observables, while the bounds per se are state-dependent. Such bounds are compared with the earlier suggested separability bounds. (c) We also show how these statistical correlators can enable distinguishing between the separable, distillable and bound entanglement domains of the one-parameter Horodecki two-qutrit states. Further, the relations linking negativity with the statistical correlators have been derived for such Horodecki states in the domain of distillable entanglement. Thus, this entanglement characterisation scheme based on statistical correlators and harnessing complementarity of the observables opens up a potentially rich direction of study which is applicable for both distillable and bound entangled states.en_US
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.urihttps://arxiv.org/abs/2201.06188en_US
dc.relation.urihttps://ui.adsabs.harvard.edu/abs/2022arXiv220106188S/abstracten_US
dc.relation.urihttps://doi.org/10.1007/s11128-024-04348-3en_US
dc.rights2024, The Author(s)en_US
dc.subjectHigher dimensional QIPen_US
dc.subjectTwo-qudit mixed statesen_US
dc.subjectEntanglement measuresen_US
dc.titleRelating an entanglement measure with statistical correlators for two-qudit mixed states using only a pair of complementary observablesen_US
dc.typeArticleen_US
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