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Constructing quantum error-correcting codes for p^m-state systems from classical error-correcting codes

Ryutaroh Matsumoto·Tomohiko Uyematsu
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Abstract

We generalize the construction of quantum error-correcting codes from GF(4)-linear codes by Calderbank et al. to p^m-state systems. Then we show how to determine the error from a syndrome. Finally we discuss a systematic construction of quantum codes with efficient decoding algorithms.

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Ryutaroh Matsumoto, Tomohiko Uyematsu. 2000-06-26. Constructing quantum error-correcting codes for p^m-state systems from classical error-correcting codes. https://arxiv.org/abs/quant-ph/9911011

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