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

Ryutaroh Matsumoto, Tomohiko Uyematsu · arXiv (Cornell University) · 1999

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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