Research On Construction And Simulation Of Quantum LDPC Codes Based On Tensor Product Technique

The technology of quantum error-correcting code is an important measure for resisting the effect of decoherence in the channel and the noise in the environment,which is the important guarantee for the realization of quantum information storage,quantum computation and quantum communication.LDPC codes are a class of asymptotically good codes that can approach the Shannon capacity limit,and they have been applied widely in the field of communication.Generalizing the technology and ideology of LDPC codes to the field of quantum error-correcting,quantum LDPC codes have been a hot research issue in recent years in the field of quantum information.In this paper,we will research a class of quantum LDPC code through computer simulation from several standpoints,such as the column weight of check matrix,the code length,code rate and so on.Besides,we will construct an asymmetric quantum LDPC code based on the properties of this class of quantum LDPC codes,that is the quantum code we construct has stronger ability to correct the Z type error than the X type error,in order to adapt the case in which the probability of Z type error and X type error is different.At last,we propose an improvement plan,and the result shows that this improvement can promote their performance.