Higher entropic uncertainty relations for anti-commuting observables

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dc.creatorWehner, Stephanie
dc.creatorWinter, Andreas
dc.date2007-10-05
dc.date2008-08-26
dc.date.accessioned2026-07-07T09:58:02Z
dc.date.available2026-07-07T09:58:02Z
dc.descriptionUncertainty relations lie at the very core of quantum mechanics, and form the cornerstone of essentially all quantum cryptographic applications. In particular, they play an important role in cryptographic protocols in the bounded-quantum-storage model, where proving the security of all existing protocols ultimately reduces to bounding such relations. Yet, very little is known about such uncertainty relations for more than two measurements. Here, we prove optimal entropic uncertainty relations for anti-commuting binary observables for the Shannon entropy, and nearly optimal relations for the collision entropy. Our results have immediate applications to quantum cryptography.
dc.description8 pages revtex, 2 figures, v2: published version but with figures, min-entropy relation added
dc.identifierhttps://arxiv.org/abs/0710.1185
dc.identifierhttp://arxiv.org/abs/0710.1185
dc.identifierJournal of Mathematical Physics, 49, 062105 (2008)
dc.identifierdoi:10.1063/1.2943685
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/167568
dc.subjectQuantum Physics
dc.titleHigher entropic uncertainty relations for anti-commuting observables
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