Codeword Stabilized Quantum Codes

Details Codeword Stabilized Quantum Codes Codeword Stabilized Quantum Codes

2007-08-07

arxiv.org/abs/0708.1021v4

IEEE Trans. Info. Theory 55, 1, 433-438 (2009)

Physics

Quantum Physics

5 pages, 1 eps figure, ((11,48,3)) code removed, encoding circuits added, typos corrected in codewords and elsewhere

Scientific paper

10.1109/TIT.2008.2008136

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.

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