Quantum Error Correction Beyond the Bounded Distance Decoding Limit
Kenta Kasai, Manabu Hagiwara, Hideki Imai, Kohichi Sakaniwa · IEEE Transactions on Information Theory · 2011
In this paper, we consider quantum error correction over depolarizing channels with nonbinary low-density parity-check codes defined over Galois field of size 2p. The proposed quantum error correcting codes are based on the binary quasi-cyclic Calderbank, Shor, and Steane (CSS) codes. The resulting quantum codes outperform the best known quantum codes and surpass the performance limit of the bounded distance decoder. By increasing the size of the underlying Galois field, i.e., 2p, the error floors are considerably improved.