id: 05194678 dt: a an: 05194678 au: Gilbert, G.; Hamrick, M.; Thayer, F.J. ti: Practical quantum cryptography: secrecy capacity and privacy amplification. so: Sergienko, Alexander V. (ed.), Quantum communications and cryptography. Boca Raton, FL: CRC Press; Boca Raton, FL: Taylor \& Francis (ISBN 978-0-8493-3684-3/hbk). 145-162 (2006). py: 2006 pu: Boca Raton, FL: CRC Press; Boca Raton, FL: Taylor \& Francis la: EN cc: ut: ci: Zbl 1012.68063; Zbl 0969.94501 li: ab: From the introduction: Our analysis of the secrecy of a practical implementation of the BB84 protocol simultaneously takes into account and presents the full set of analytical expressions for effects due to the presence of pulses containing multiple photons in the attenuated output of the laser, the finite length of individual blocks of key material, losses due to error correction, privacy amplification, and authentication, errors in polarization detection, the efficiency of the detectors, and attenuation processes in the transmission medium [the first two authors, “Practical quantum cryptography: a comprehensive analysis (part one)”, arXiv quant-ph/0009027 (2000); Algorithmica 34, No. 4, 314‒339 (2002; Zbl 1012.68063)]. We consider particular attacks made on individual photons, as opposed to collective attacks on the full quantum state of the photon pulses. The extension to other protocols, such as B92 [{\it C.~H. Bennett}, Phys. Rev. Lett. 68, No. 21, 3121‒3124 (1992; Zbl 0969.94501)] is straightforward, but is not discussed here because of limitations of space. We analyze important subtleties that arise in the practical implementation of privacy amplification in which the distinction between averaging over hash functions, on the one hand, and making use of a particular hash function, on the other, yield different bounds on the mutual information available to an enemy eavesdropper. We pay special attention to the consequences of this distinction on the resulting throughput of secret bits, which is a crucial figure-of-merit in assessing the viability of a practical key distribution system. [ rv: