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Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/6941
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dc.contributor.authorShivam, Kumar-
dc.contributor.authorReddy, Anirudh-
dc.contributor.authorSamuel, J.-
dc.contributor.authorSinha, Supurna-
dc.date.accessioned2018-06-13T13:15:52Z-
dc.date.available2018-06-13T13:15:52Z-
dc.date.issued2018-05-17-
dc.identifier.citationInternational Journal of Quantum Information, 2018 Vol. 16(4), p 1850032en_US
dc.identifier.issn0219-7499-
dc.identifier.issn1793-6918 (Online)-
dc.identifier.urihttp://hdl.handle.net/2289/6941-
dc.descriptionRestricted Access. An open-access version is available at arXiv.org (one of the alternative locations)en_US
dc.description.abstractWe compare the roles of the Bures–Helstrom (BH) and Bogoliubov–Kubo–Mori (BKM) metrics in the subject of quantum information geometry. We note that there are two limits involved in state discrimination, which we call the “thermodynamic” limit (of NN, the number of realizations going to infinity) and the infinitesimal limit (of the separation of states tending to zero). We show that these two limits do not commute in the quantum case. Taking the infinitesimal limit first leads to the BH metric and the corresponding Cramér–Rao bound, which is widely accepted in this subject. Taking limits in the opposite order leads to the BKM metric, which results in a weaker Cramér–Rao bound. This lack of commutation of limits is a purely quantum phenomenon arising from quantum entanglement. We can exploit this phenomenon to gain a quantum advantage in state discrimination and get around the limitation imposed by the Bures–Helstrom Cramér–Rao (BHCR) bound. We propose a technologically feasible experiment with cold atoms to demonstrate the quantum advantage in the simple case of two qubits.en_US
dc.language.isoenen_US
dc.publisherWorld Scienti¯c Publishing Companyen_US
dc.relation.urihttps://arxiv.org/abs/1609.07279en_US
dc.relation.urihttps://doi.org/10.1142/S0219749918500326en_US
dc.rights2018. World Scienti¯c Publishing Companyen_US
dc.subjectQuantum measurementen_US
dc.subjectmetricen_US
dc.subjectdistinguishabilityen_US
dc.titleEntropy and geometry of quantum statesen_US
dc.typeArticleen_US
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