A Method for Producing of Generator Matrix in Quantum Block Stabilizer Codes and Quantum LDPC

Quantum systems theoretically have a high power in the field of processing and sending information. But their interactions with the outside world lead to the problem of their realization in the real world. Quantum block stabilizer codes have been designed to overcome this problem. Each quantum block code with specific characteristics is described as a binary matrix which is called a generator matrix. Although many studies have been performed on the properties of an error-correcting code with a given generator matrix, a general method has not still been provided for reaching to a generator matrix. In this paper, a method for producing a general generator matrix by using genetic algorithms is presented. Simulation results show the performance of the proposed algorithm.