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Sparse-graph codes for quantum error correction

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3 Author(s)
MacKay, D.J.C. ; Dept. of Phys., Cavendish Lab., Cambridge, UK ; Mitchison, G. ; McFadden, P.L.

Sparse-graph codes appropriate for use in quantum error-correction are presented. Quantum error-correcting codes based on sparse graphs are of interest for three reasons. First, the best codes currently known for classical channels are based on sparse graphs. Second, sparse-graph codes keep the number of quantum interactions associated with the quantum error-correction process small: a constant number per quantum bit, independent of the block length. Third, sparse-graph codes often offer great flexibility with respect to block length and rate. We believe some of the codes we present are unsurpassed by previously published quantum error-correcting codes.

Published in:

Information Theory, IEEE Transactions on  (Volume:50 ,  Issue: 10 )