DocumentCode
2513865
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
fYear
2008
fDate
6-11 July 2008
Firstpage
364
Lastpage
368
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 stabilized quantum codes; encoding circuits; quantum error correcting code design; Boolean functions; Circuit simulation; Computational modeling; Computer simulation; Eigenvalues and eigenfunctions; Encoding; Error correction codes; Fault tolerance; Physics; Quantum computing; nonadditive codes; quantum error correction; stabilizer codes;
fLanguage
English
Publisher
ieee
Conference_Titel
Information Theory, 2008. ISIT 2008. IEEE International Symposium on
Conference_Location
Toronto, ON
Print_ISBN
978-1-4244-2256-2
Electronic_ISBN
978-1-4244-2257-9
Type
conf
DOI
10.1109/ISIT.2008.4595009
Filename
4595009
Link To Document