Universally composable privacy amplification against quantum adversaries

Details Universally composable privacy amplification against quantum adversaries Universally composable privacy amplification against quantum adversaries

2004-03-18

arxiv.org/abs/quant-ph/0403133v2

Proc. of TCC 2005, LNCS, Springer, vol. 3378 (2005)

Physics

Quantum Physics

14 pages, LaTeX; references and detailed discussion of optimality added

Scientific paper

Privacy amplification is the art of shrinking a partially secret string Z to a highly secret key S. We show that, even if an adversary holds quantum information about the initial string Z, the key S obtained by two-universal hashing is secure, according to a universally composable security definition. Additionally, we give an asymptotically optimal lower bound on the length of the extractable key S in terms of the adversary's (quantum) knowledge about Z. Our result has applications in quantum cryptography. In particular, it implies that many of the known quantum key distribution protocols are universally composable.

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