Generalized concatenated quantum codes
Author(s)Grassl, Markus; Shor, Peter W.; Smith, Graeme; Smolin, John; Zeng, Bei
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We discuss 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 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 meet the quantum Hamming bound for large block length.
DepartmentMassachusetts Institute of Technology. Department of Mathematics; Massachusetts Institute of Technology. Department of Physics
Physical Review A
American Physical Society
Grassl, Markus et al. “Generalized concatenated quantum codes.” Physical Review A 79.5 (2009): 050306. © 2009 The American Physical Society.
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