A construction of entanglement-assisted quantum LDPC codes from the cyclic difference set
Ying Liu, Yanyan Wang, Shengmei Zhao, Baoyu Zheng · 2012
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.