The construction method of stabilizer codes for continuous variables |
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Authors: | Liping Lin Chunhui Huang |
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Affiliation: | (1) School of Electrical Engineering and Computer Science, University of Central Florida, P. O. Box 162362, Orlando, FL 32816-2362, USA |
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Abstract: | The paper analyzes the basic principles of stabilizer codes, focusing on how to construct stabilizer codes for achieving the
continuous-variable quantum error correction. Stabilizer codes can be used in the reconciliation of continuous-variable quantum
key distribution system. The construction method of stabilizer codes is very important and it can be turned into finding the
check matrix for stabilizer codes. In this paper, a new algorithm called region elimination algorithm for finding the check
matrix of stabilizer codes was presented which can seek the voluntary check matrix for continuous-variable stabilizer codes
within 8 bit code length quickly and effectively, and it was simulated by Visual C++. The algorithm is mainly realized by
initializing search region, reducing the search region and then keeping searching till finding all the commuting generators.
The finding of check matrix of stabilizer codes lays important foundations for the further development of stabilizer codes
in the continuous-variable quantum key distribution. |
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