Conference paper
Super-duper-activation of the zero-error quantum capacity
Jianxin Chen, Toby S. Cubitt, et al.
ISIT 2010
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.
Jianxin Chen, Toby S. Cubitt, et al.
ISIT 2010
Toby S. Cubitt, Graeme Smith
IEEE Trans. Inf. Theory
Robert König, Graeme Smith
IEEE Trans. Inf. Theory
Sergey Bravyi, Graeme Smith, et al.
Physical Review X