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A family of asymptotically good quantum codes based on code concatenation (0901.0042v1)
Published 31 Dec 2008 in quant-ph, cs.IT, and math.IT
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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