Some good quantum error-correcting codes from algebraic-geometric codes

Hao Chen · IEEE Transactions on Information Theory · 2001

It is shown that quantum error correction can be achieved by the use of classical binary codes or additive codes over F/sub 4/. In this correspondence, with the help of some algebraic techniques the theory of algebraic-geometric codes is used to construct an asymptotically good family of quantum error-correcting codes and other classes of good quantum error-correcting codes. Our results are compared with the known best quantum codes.

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