Codeword Stabilized Quantum Codes

Authors :: John A. Smolin
Bei Zeng
Andrew W. Cross
Graeme Smith
Source :: ISIT
Publication Year :: 2009
Publisher :: Institute of Electrical and Electronics Engineers (IEEE), 2009.
Abstract: We present a unifying approach to quantum error correcting code design that encompasses additive (stabilizer) codes, as well as all known examples of nonadditive codes with good parameters. We use this framework to generate new codes with superior parameters to any previously known. In particular, we find ((10,18,3)) and ((10,20,3)) codes. We also show how to construct encoding circuits for all codes within our framework.<br />5 pages, 1 eps figure, ((11,48,3)) code removed, encoding circuits added, typos corrected in codewords and elsewhere