Title
On the construction of stabilizer codes with an arbitrary binary matrix
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.
Year
DOI
Venue
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 Hwang111.38
Byung-Soo Choi2467.09
Moongu Jeon345672.81