106 research outputs found
Quantum Deletion Codes Derived From Quantum Reed-Solomon Codes
This manuscript presents a construction method for quantum codes capable of
correcting multiple deletion errors. By introducing two new alogorithms, the
alternating sandwich mapping and the block error locator, the proposed method
reduces deletion error correction to erasure error correction. Unlike previous
quantum deletion error-correcting codes, our approach enables flexible code
rates and eliminates the requirement of knowing the number of deletions
Quantum Error Correction beyond the Bounded Distance Decoding Limit
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 . 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., , the error floors are considerably
improved.Comment: To appear in IEEE Transactions on Information Theor
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