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arXiv · 0901.1319

Generalized Concatenated Quantum Codes

Markus Grassl·Peter Shor·Graeme Smith·John Smolin·Bei Zeng
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Abstract

We introduce the concept of generalized concatenated quantum codes. This generalized concatenation method provides a systematical way for constructing good quantum codes, both stabilizer codes and nonadditive codes. Using this method, we construct families of new single-error-correcting nonadditive quantum codes, in both binary and nonbinary cases, which not only outperform any stabilizer codes for finite block length, but also asymptotically achieve the quantum Hamming bound for large block length.

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Markus Grassl, Peter Shor, Graeme Smith, John Smolin, Bei Zeng. 2009-01-09. Generalized Concatenated Quantum Codes. https://doi.org/10.1103/physreva.79.050306

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