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- Title
On the construction of stabilizer codes with an arbitrary binary matrix.
- Authors
Hwang, Yongsoo; Choi, Byung-Soo; Jeon, Moongu
- Abstract
This paper proposes a simple framework for constructing a stabilizer code with an arbitrary binary matrix. We define a relation between A and A of a binary check matrix A = ( A| A) associated with stabilizer generators of a quantum error-correcting code. Given an arbitrary binary matrix, we can derive a pair of A and A 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.
- Subjects
GEOMETRICAL constructions; STABILITY theory; CODING theory; QUANTUM information theory; QUANTUM communication; BINARY number system
- Publication
Quantum Information Processing, 2013, Vol 12, Issue 1, p467
- ISSN
1570-0755
- Publication type
Article
- DOI
10.1007/s11128-012-0394-7