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Fast, efficient error reconciliation for quantum cryptography

W. T. Buttler·S. K. Lamoreaux·J. R. Torgerson·G. H. Nickel·C. H. Donahue·C. G. Peterson
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Abstract

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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W. T. Buttler, S. K. Lamoreaux, J. R. Torgerson, G. H. Nickel, C. H. Donahue, C. G. Peterson. 2003-01-22. Fast, efficient error reconciliation for quantum cryptography. https://doi.org/10.1103/physreva.67.052303

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