A Tight High-Order Entropic Quantum Uncertainty Relation With Applications

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dc.creatorDamgaard, Ivan B.
dc.creatorFehr, Serge
dc.creatorRenner, Renato
dc.creatorSalvail, Louis
dc.creatorSchaffner, Christian
dc.date2006-12-02
dc.date2007-08-19
dc.date.accessioned2026-07-07T08:24:00Z
dc.date.available2026-07-07T08:24:00Z
dc.descriptionWe derive a new entropic quantum uncertainty relation involving min-entropy. The relation is tight and can be applied in various quantum-cryptographic settings. Protocols for quantum 1-out-of-2 Oblivious Transfer and quantum Bit Commitment are presented and the uncertainty relation is used to prove the security of these protocols in the bounded quantum-storage model according to new strong security definitions. As another application, we consider the realistic setting of Quantum Key Distribution (QKD) against quantum-memory-bounded eavesdroppers. The uncertainty relation allows to prove the security of QKD protocols in this setting while tolerating considerably higher error rates compared to the standard model with unbounded adversaries. For instance, for the six-state protocol with one-way communication, a bit-flip error rate of up to 17% can be tolerated (compared to 13% in the standard model). Our uncertainty relation also yields a lower bound on the min-entropy key uncertainty against known-plaintext attacks when quantum ciphers are composed. Previously, the key uncertainty of these ciphers was only known with respect to Shannon entropy.
dc.description21 pages; editorial changes, additional application
dc.identifierhttps://arxiv.org/abs/quant-ph/0612014
dc.identifierhttp://arxiv.org/abs/quant-ph/0612014
dc.identifierfull version of CRYPTO 2007, LNCS 4622
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136197
dc.subjectQuantum Physics
dc.subjectCryptography and Security
dc.titleA Tight High-Order Entropic Quantum Uncertainty Relation With Applications
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