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Paper 1
Algebraic Quantum Error-Correction Codes
Ming-Chung Tsai, Po-Chung Chen, Kuan-Peng Chen, Zheng-Yao Su
- Year
- 2013
- Journal
- arXiv preprint
- DOI
- arXiv:1310.7514
- arXiv
- 1310.7514
Based on the group structure of a unitary Lie algebra, a scheme is provided to systematically and exhaustively generate quantum error correction codes, including the additive and nonadditive codes. The syndromes in the process of error-correction distinguished by different orthogonal vector subspaces, the coset subspaces. Moreover, the generated codes can be classified into four types with respect to the spinors in the unitary Lie algebra and a chosen initial quantum state.
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Clustered error correction of codeword-stabilized quantum codes.
Li Y, Dumer I, Pryadko LP.
- Year
- 2010
- Journal
- Phys Rev Lett
- DOI
- 10.1103/physrevlett.104.190501
- arXiv
- -
No abstract.
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