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Quantum Reed-Solomon Codes

Markus Grassl·Willi Geiselmann·Thomas Beth
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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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Markus Grassl, Willi Geiselmann, Thomas Beth. 1999-10-14. Quantum Reed-Solomon Codes. https://doi.org/10.1007/3-540-46796-3_23

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