Low dimensional bound entanglement with one-way distillable cryptographic key

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dc.creatorHorodecki, Karol
dc.creatorPankowski, Lukasz
dc.creatorHorodecki, Michal
dc.creatorHorodecki, Pawel
dc.date2005-06-24
dc.date.accessioned2026-07-07T09:44:03Z
dc.date.available2026-07-07T09:44:03Z
dc.descriptionWe provide a class of bound entangled states that have positive distillable secure key rate. The smallest state of this kind is $4 \otimes 4$, which shows that peculiar security contained in bound entangled states does not need high dimensional systems. We show, that for these states a positive key rate can be obtained by {\it one-way} Devetak-Winter protocol. Subsequently the volume of bound entangled key-distillable states in arbitrary dimension is shown to be nonzero. We provide a scheme of verification of cryptographic quality of experimentally prepared state in terms of local observables. Proposed set of 7 collective settings is proven to be optimal in number of settings.
dc.description5 pages, ReVTex4
dc.identifierhttps://arxiv.org/abs/quant-ph/0506203
dc.identifierhttp://arxiv.org/abs/quant-ph/0506203
dc.identifierIEEE Trans. Inf. Theory 54, 2621 (2008)
dc.identifierdoi:10.1109/TIT.2008.921709
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162733
dc.subjectQuantum Physics
dc.titleLow dimensional bound entanglement with one-way distillable cryptographic key
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