Incoherent and Coherent Eavesdropping in the 6-state Protocol of Quantum Cryptography

Details Incoherent and Coherent Eavesdropping in the 6-state Protocol of Quantum Cryptography Incoherent and Coherent Eavesdropping in the 6-state Protocol of Quantum Cryptography

1998-07-16

arxiv.org/abs/quant-ph/9807041v2

Physics

Quantum Physics

17 pages, 4 figures: Updated version, discussion on error correction and privacy amplification added

Scientific paper

10.1103/PhysRevA.59.4238

All incoherent as well as 2- and 3-qubit coherent eavesdropping strategies on the 6 state protocol of quantum cryptography are classified. For a disturbance of 1/6, the optimal incoherent eavesdropping strategy reduces to the universal quantum cloning machine. Coherent eavesdropping cannot increase Eve's Shannon information, neither on the entire string of bits, nor on the set of bits received undisturbed by Bob. However, coherent eavesdropping can increase as well Eve's Renyi information as her probability of guessing correctly all bits. The case that Eve delays the measurement of her probe until after the public discussion on error correction and privacy amplification is also considered. It is argued that by doing so, Eve gains only a negligibly small additional information.

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