Title :
A construction of entanglement-assisted quantum LDPC codes from the cyclic difference set
Author :
Ying Liu ; Yanyan Wang ; Shengmei Zhao ; Baoyu Zheng
Author_Institution :
Inst. of Signal Process. & Transm., Nanjing Univ. of Posts & Telecommun., Nanjing, China
Abstract :
As the best error correction codes in classical communications, low density parity check codes (LDPC) have found its usage in quantum error correction. In this paper, we investigate a family of entanglement-assisted quantum LDPC codes based on cyclic difference set. It is shown that these codes only need one pre-shared entangled qubit between both sender and receiver, without the necessity to satisfy the dual-containing property in the generalized Calderban-Shor-Stean (CSS) construction. The simulation results show that the quantum LDPC codes have better performance than that quantum LDPC codes on cyclic difference set with the dual-containing quantum CSS construction.
Keywords :
error correction codes; parity check codes; CSS construction; cyclic difference set; entanglement assisted quantum LDPC codes; error correction codes; generalized Calderban-Shor-Stean construction; low density parity check codes; quantum error correction; cyclic difference set; dual-containing quantum CSS codes; entanglement-assisted quantum LDPC codes;
Conference_Titel :
Signal Processing (ICSP), 2012 IEEE 11th International Conference on
Conference_Location :
Beijing
Print_ISBN :
978-1-4673-2196-9
DOI :
10.1109/ICoSP.2012.6491813