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: | , , |
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| 格式: | Article |
| 語言: | English |
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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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| 機構: | Nanyang Technological University |
| 語言: | English |
| 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. |
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