Generalized Concatenated Quantum Codes

Details Generalized Concatenated Quantum Codes Generalized Concatenated Quantum Codes

2009-01-09

arxiv.org/abs/0901.1319v1

Physical Review A 79, 050306(R) (2009)

Physics

Quantum Physics

4 pages, 1 figure

Scientific paper

10.1103/PhysRevA.79.050306

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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