DocumentCode
1049171
Title
Codeword Stabilized Quantum Codes
Author
Cross, Andrew ; Smith, Graeme ; Smolin, John A. ; Zeng, Bei
Author_Institution
Dept. of Electr. Eng., Massachusetts Inst. of Technol., Cambridge, MA
Volume
55
Issue
1
fYear
2009
Firstpage
433
Lastpage
438
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.
Keywords
error correction codes; additive codes; codeword; error correcting code; nonadditive codes; stabilized quantum codes; Boolean functions; Circuit simulation; Computational modeling; Computer simulation; Councils; Eigenvalues and eigenfunctions; Encoding; Error correction codes; Fault tolerance; Quantum computing; Nonadditive codes; quantum error correction; stabilizer codes;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.2008.2008136
Filename
4729763
Link To Document