A family of asymptotically good quantum codes based on code concatenation

Zhuo Li; Li-Juan Xing; Xin-Mei Wang

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arXiv · 0901.0042

A family of asymptotically good quantum codes based on code concatenation

Zhuo Li·Li-Juan Xing·Xin-Mei Wang

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Abstract

We explicitly construct an infinite family of asymptotically good concatenated quantum stabilizer codes where the outer code uses CSS-type quantum Reed-Solomon code and the inner code uses a set of special quantum codes. In the field of quantum error-correcting codes, this is the first time that a family of asymptotically good quantum codes is derived from bad codes. Its occurrence supplies a gap in quantum coding theory.

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Zhuo Li, Li-Juan Xing, Xin-Mei Wang. 2008-12-31. A family of asymptotically good quantum codes based on code concatenation. https://arxiv.org/abs/0901.0042

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