Quantum Reed-Solomon Codes
Markus Grassl, Willi Geiselmann, Thomas Beth
Abstract
After a brief introduction to both quantum computation and quantum error correction, we show how to construct quantum error-correcting codes based on classical BCH codes. With these codes, decoding can exploit additional information about the position of errors. This error model - the quantum erasure channel - is discussed. Finally, parameters of quantum BCH codes are provided.
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