| E. Biham and T. Mor, Bounds on Information and the Security of Quantum Cryptography, Phys. Rev. Lett., 79(1997), 4034--4037. |
.... was written in collaboration with Massimo Palma and Asher Peres [34] Norbert Lutkenhaus also studied the security of quantum cryptography against eavesdropping [54] A particularly promising approach is due to Eli Biham and Tal Mor, where they consider what they call the collective attack [17, 18]. See also [14] for a study of the security of the parity bit in quantum cryptography. Even though they have retracted their claim of an ultimate proof of security for quantum cryptography in noisy channels, the techniques presented by Hoi Kwong Lo and Hoi Fung Chau may well prove useful [52] In ....
Biham, E. and T. Mor, "Bounds on information and the security of quantum cryptography", manuscript, 1996. Available at http://xxx.lanl.gov/ps/quant-ph/9605010.
....joint attacks. Such attacks are beyond current technology, but obviously, a cryptosystem is not absolutely secure if some future technology could break it. Thus, proving security against any attack allowed by the rules of physics is a vital step. In this paper we complete the work started in [8, 9, 10] to conclude that, under a compatible error model, the four state scheme [3] for quantum key distribution is secure against any collective attack, an important subclass of the joint attacks. The first version of our paper appeared in the public domain 1 already in 1998 but has not yet been ....
.... the security obtained by privacy amplification were provided in [8] The first 4 complete examples (which contain privacy amplification and error correction) were provided in [14, 9] Mayers work was based on an earlier work of Yao) In this paper we restrict ourself to collective attacks [9, 10], where each qubit is attached to a separate probe, unentangled to any other probe. The measurement is delayed until after all the classical data is obtained, and is performed collectively on all probes. There are good reasons [9, 10] to believe that collective attacks are the strongest joint ....
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E. Biham and T. Mor, Bounds on Information and the Security of Quantum Cryptography, Phys. Rev. Lett., 79(1997), 4034--4037.
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