On the construction of stabilizer codes with an arbitrary binary matrix |
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| Authors: | Yongsoo Hwang Byung-Soo Choi Moongu Jeon |
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| Affiliation: | 1. Department of Information and Communications, Gwangju Institute of Science and Technology, Gwangju, Republic of Korea
2. Electrical and Computer Engineering Department, Duke University, Durham, NC, USA
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| Abstract: | 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. |
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