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
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;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2008.2008136
