Lütkenhaus, Norbert and Barnett, Stephen M. (1996) Security against eavesdropping in quantum cryptography. Physical Review A, 54 (1). pp. 97-111. ISSN 1050-2947
A sharp estimate is given for the amount of Shannon information and expected collision probability. This estimate is valid for all eavesdropping strategies described by a generalized measurement and restricted to the Hilbert space of the one-photon state. The optimal generalized measurement is explicitly given.
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