Symmetric extension in two-way quantum key distribution

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dc.creatorMyhr, Geir Ove
dc.creatorRenes, Joseph M.
dc.creatorDoherty, Andrew C.
dc.creatorLütkenhaus, Norbert
dc.date2008-12-18
dc.date2009-05-03
dc.date.accessioned2026-07-07T13:10:46Z
dc.date.available2026-07-07T13:10:46Z
dc.descriptionWe introduce symmetric extensions of bipartite quantum states as a tool for analyzing protocols that distill secret key from quantum correlations. Whether the correlations are coming from a prepare-and-measure quantum key distribution scheme or from an entanglement-based scheme, the protocol has to produce effective states without a symmetric extension in order to succeed. By formulating the symmetric extension problem as a semidefinite program, we solve the problem for Bell-diagonal states. Applying this result to the six-state and BB84 schemes, we show that for the entangled states that cannot be distilled by current key distillation procedures, the failure can be understood in terms of a failure to break a symmetric extension.
dc.description11 pages, 2 figures; v2: published version, hyperlinked references
dc.identifierhttps://arxiv.org/abs/0812.3607
dc.identifierhttp://arxiv.org/abs/0812.3607
dc.identifierPhys. Rev. A 79, 042329 (2009)
dc.identifierdoi:10.1103/PhysRevA.79.042329
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/229094
dc.subjectQuantum Physics
dc.titleSymmetric extension in two-way quantum key distribution
dc.typetext

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