Noisy Preprocessing and the Distillation of Private States

Details Noisy Preprocessing and the Distillation of Private States Noisy Preprocessing and the Distillation of Private States

2006-03-28

arxiv.org/abs/quant-ph/0603262v2

Phys. Rev. Lett. 98, 020502 (2007)

Physics

Quantum Physics

4 pages, to appear in Physical Review Letters. Extensively rewritten, with a more detailed discussion of coherent --> iid redu

Scientific paper

10.1103/PhysRevLett.98.020502

We provide a simple security proof for prepare & measure quantum key distribution protocols employing noisy processing and one-way postprocessing of the key. This is achieved by showing that the security of such a protocol is equivalent to that of an associated key distribution protocol in which, instead of the usual maximally-entangled states, a more general {\em private state} is distilled. Besides a more general target state, the usual entanglement distillation tools are employed (in particular, Calderbank-Shor-Steane (CSS)-like codes), with the crucial difference that noisy processing allows some phase errors to be left uncorrected without compromising the privacy of the key.

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