Quantum Error Correction beyond the Bounded Distance Decoding Limit

Details Quantum Error Correction beyond the Bounded Distance Decoding Limit Quantum Error Correction beyond the Bounded Distance Decoding Limit

2010-07-11

arxiv.org/abs/1007.1778v2

Computer Science

Information Theory

To appear in IEEE Transactions on Information Theory

Scientific paper

In this paper, we consider quantum error correction over depolarizing channels with non-binary low-density parity-check codes defined over Galois field of size $2^p$ . The proposed quantum error correcting codes are based on the binary quasi-cyclic CSS (Calderbank, Shor and Steane) 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., $2^p$, the error floors are considerably improved.

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