Constructing quantum error-correcting codes for pm-state systems from classical error-correcting codes
Ryutaroh Matsumoto, Tomohiko Uyematsu
Abstract
We generalize the construction of quantum error-correcting codes from GF(4)-linear codes by Calderbank et al. to pm-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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