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.Category / Keywords: foundations / quantum cryptography, uncertainty relation, bounded-quantum-storage model Publication Info: Full version of CRYPTO 2007 paper. Date: received 20 Aug 2007 Contact author: Serge Fehr at cwi nl Available format(s): PDF | BibTeX Citation Version: 20070822:184631 (All versions of this report) Short URL: ia.cr/2007/328 Discussion forum: Show discussion | Start new discussion