Barbara M. Terhal, Isaac L. Chuang, et al.
Physical Review A - AMO
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. © 2009 The American Physical Society.
Barbara M. Terhal, Isaac L. Chuang, et al.
Physical Review A - AMO
Markus Grassl, Peter Shor, et al.
ISIT 2012
Robert König, Graeme Smith
IEEE Trans. Inf. Theory
Robert König, Graeme Smith
Physical Review Letters