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Fifteen Years of Quantum LDPC Coding and Improved Decoding Strategies
oleh: Zunaira Babar, Panagiotis Botsinis, Dimitrios Alanis, Soon Xin Ng, Lajos Hanzo
Format: | Article |
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Diterbitkan: | IEEE 2015-01-01 |
Deskripsi
The near-capacity performance of classical low-density parity check (LDPC) codes and their efficient iterative decoding makes quantum LDPC (QLPDC) codes a promising candidate for quantum error correction. In this paper, we present a comprehensive survey of QLDPC codes from the perspective of code design as well as in terms of their decoding algorithms. We also conceive a modified non-binary decoding algorithm for homogeneous Calderbank-Shor-Steane-type QLDPC codes, which is capable of alleviating the problems imposed by the unavoidable length-four cycles. Our modified decoder outperforms the state-of-the-art decoders in terms of their word error rate performance, despite imposing a reduced decoding complexity. Finally, we intricately amalgamate our modified decoder with the classic uniformly reweighted belief propagation for the sake of achieving an improved performance.