Research On The Construction Method Of Quantum LDPC Codes

As a new subject derived from physics and information science,quantum informatics has shown many advantages over classical informatics in terms of information security and computing speed.However,at any stage of quantum information processing,it is possible to be affected by quantum noise.Therefore,the research work of quantum error correction theory used to resist noise is particularly important,and it has always been a hot topic in quantum informaticsWith the rapid development of quantum error correction code(QECC)theory,a large number of classical error correction codes have been transplanted to the quantum field.the most interesting one of them is Low-Density Parity-Check(LDPC)code,which has been widely used in the field of classic error correction for its excellent performance in approaching the Shannon limit.Therefore,combining it with quantum error correction technology,the construction of quantum LDPC codes has become an important research topic.So,in this paper,we will combine the development status of Quantum LDPC codes,then,do some research and innovation work from the following aspects:Firstly,the parity check matrix structure of multiple types of quantum LDPC codes is specifically analyzed,including dual-containing CSS code,quasi-cyclic quantum code,and entanglement-assisted code.On this basis,the requirements for the construction of corresponding types of quantum LDPC codes are proposed.Then,based on the theory of BIBD,examples of various types of quantum LDPC codes are constructed.Finally,in the condition of depolarizing channel,we make simulation based on the BP iterative decoding algorithm and analysis its performance.Secondly,the research on the construction method of quantum LDPC codes has many meritorious works.While the core work is still focus on how to construct quantum code by using the construction method of classical LDPC code.Until now,there is no systematic method to enhance the existing quantum LDPC code.In view of this research situation,we propose an enhancement method for quasi cyclic quantum LDPC codes.The two application scenarios of the method are analyzed in combination with the changing trend of the code rate.Finally,the effectiveness of our enhancement method is proved by example simulation in each scenario.