Abstract | ||
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This paper proposes a simple framework for constructing a stabilizer code with an arbitrary binary matrix. We define a relation between A 1 and A 2 of a binary check matrix A = (A 1|A 2) associated with stabilizer generators of a quantum error-correcting code. Given an arbitrary binary matrix, we can derive a pair of A 1 and A 2 by the relation. As examples, we illustrate two kinds of stabilizer codes: quantum LDPC codes and quantum convolutional codes. By the nature of the proposed framework, the stabilizer codes covered in this paper belong to general stabilizer (non-CSS) codes. |
Year | DOI | Venue |
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2013 | 10.1007/s11128-012-0394-7 | Quantum Information Processing |
Keywords | Field | DocType |
stabilizer code,quantum ldpc code,binary check matrix,proposed framework,stabilizer generator,general stabilizer,quantum error-correcting code,simple framework,quantum convolutional code,arbitrary binary matrix,convolutional code,ldpc code | Hamming code,Stabilizer code,Algebra,Logical matrix,Low-density parity-check code,Quantum mechanics,Block code,Linear code,Reed–Muller code,Quantum convolutional code,Physics | Journal |
Volume | Issue | ISSN |
12 | 1 | 1573-1332 |
Citations | PageRank | References |
0 | 0.34 | 19 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Yongsoo Hwang | 1 | 1 | 1.38 |
Byung-Soo Choi | 2 | 46 | 7.09 |
Moongu Jeon | 3 | 456 | 72.81 |