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1996•Physical Review AOpen access

Security against eavesdropping in quantum cryptography

Norbert Lütkenhaus

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Abstract

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. \textcopyright{} 1996 The American Physical Society.

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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. \textcopyright{} 1996 The American Physical Society.

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Available abstract

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. \textcopyright{} 1996 The American Physical Society.

Key concepts: Eavesdropping, Physics, Quantum cryptography, Hilbert space, POVM, Quantum mechanics, Cryptography, Photon

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