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

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

1999-11-04

arxiv.org/abs/quant-ph/9911011v3

IEICE Trans. Fundamentals, vol. E83-A, no. 10, pp. 1878-1883, Oct. 2000. Available from http://search.ieice.org/

Physics

Quantum Physics

10 pages, LaTeX2e. To appear in IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences (ISSN

Scientific paper

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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