Asymptotically good quantum codes exceeding the Ashikhmin-Litsyn-Tsfasman bound

It is known that quantum error correction can be achieved using classical binary codes or additive codes over F4 (see [2], [3], [9]). In [1] and [4], asymptotically good quantum codes from algebraic-geometry codes were constructed and, in [1], a bound on on (δ, R) was computed from the Tsfasman-Vlad...

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Main Authors: Chen, Hao, Ling, San, Xing, Chaoping
其他作者: School of Physical and Mathematical Sciences
格式: Article
語言:English
出版: 2013
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在線閱讀:https://hdl.handle.net/10356/95782
http://hdl.handle.net/10220/9824
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總結:It is known that quantum error correction can be achieved using classical binary codes or additive codes over F4 (see [2], [3], [9]). In [1] and [4], asymptotically good quantum codes from algebraic-geometry codes were constructed and, in [1], a bound on on (δ, R) was computed from the Tsfasman-Vladut-Zink bound of the theory of classical algebraic-geometry codes. In this correspondence, by the use of a concatenation technique we construct a family of asymptotically good quantum codes exceeding the bound in a small interval.