Fast, efficient error reconciliation for quantum cryptography

Physics – Quantum Physics

Scientific paper

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8 pages, 1 figure, 3 tables. This resubmission constitutes a referee modified response. In addition, the probabilities were in

Scientific paper

10.1103/PhysRevA.67.052303

We describe a new error reconciliation protocol {\it Winnow} based on the exchange of parity and Hamming's ``syndrome'' for $N-$bit subunits of a large data set. {\it Winnow} was developed in the context of quantum key distribution and offers significant advantages and net higher efficiency compared to other widely used protocols within the quantum cryptography community. A detailed mathematical analysis of Winnow is presented in the context of practical implementations of quantum key distribution; in particular, the information overhead required for secure implementation is one of the most important criteria in the evaluation of a particular error reconciliation protocol. The increase in efficiency for Winnow is due largely to the reduction in authenticated public communication required for its implementation.

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