Title :
Some good quantum error-correcting codes from algebraic-geometric codes
Author_Institution :
Dept. of Math., Zhongshan Univ., Guangzhou, China
fDate :
7/1/2001 12:00:00 AM
Abstract :
It is shown that quantum error correction can be achieved by the use of classical binary codes or additive codes over F4. 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
Keywords :
algebraic geometric codes; binary codes; error correction codes; quantum communication; additive codes; algebraic-geometric codes; asymptotically good quantum codes; classical binary codes; quantum error correction; quantum error-correcting codes; Binary codes; Cascading style sheets; Computer science; Error correction codes; Galois fields; Information theory; Linear code; Mathematics; Poles and towers; Quantum mechanics;
Journal_Title :
Information Theory, IEEE Transactions on
