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Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/8272
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dc.contributor.authorOuyang, Yingkai-
dc.contributor.authorGoswami, Kaumudibikash-
dc.contributor.authorRomero, Jacquiline-
dc.contributor.authorSanders, Barry C.-
dc.contributor.authorHsieh, Min-Hsiu-
dc.contributor.authorTomamichel, Marco-
dc.date.accessioned2024-06-06T11:12:52Z-
dc.date.available2024-06-06T11:12:52Z-
dc.date.issued2023-07-21-
dc.identifier.citationPhysical Review A, 2023, Vol.108, p012425en_US
dc.identifier.urihttp://hdl.handle.net/2289/8272-
dc.descriptionRestricted Accessen_US
dc.description.abstractWe introduce and analyze approximate quantum secret sharing in a formal cryptographic setting, wherein a dealer encodes and distributes a quantum secret to players such that authorized structures (sets of subsets of players) can approximately reconstruct the quantum secret and omnipotent adversarial agents controlling nonauthorized subsets of players are approximately denied the quantum secret. In particular, viewing the map encoding the quantum secret shares for players in an authorized structure as a quantum channel, we show that approximate reconstructability of the quantum secret by these players is possible if and only if the information leakage, given in terms of a certain entanglement-assisted capacity of the complementary quantum channel to the players outside the structure and the environment, is small.en_US
dc.language.isoenen_US
dc.publisherAmerican Physical Societyen_US
dc.relation.urihttps://arxiv.org/abs/2302.02509en_US
dc.relation.urihttp://dx.doi.org/10.1103/PhysRevA.108.012425en_US
dc.relation.urihttps://ui.adsabs.harvard.edu/abs/2023PhRvA.108a2425O/abstracten_US
dc.rights2023, American Physical Societyen_US
dc.titleApproximate reconstructability of quantum states and noisy quantum secret sharing schemesen_US
dc.typeArticleen_US
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