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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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Paper 2

Fault tolerance with noisy and slow measurements and preparation.

Paz-Silva GA, Brennen GK, Twamley J.

Year
2010
Journal
Phys Rev Lett
DOI
10.1103/physrevlett.105.100501
arXiv
-

No abstract.

Open paper