Jan 5, 2007 · In this paper, a construction of a pair of "regular" quasi-cyclic LDPC codes as ingredient codes for a quantum error-correcting code is proposed.
Our decoding algorithms leverage the fact that the codes we consider are quasi-cyclic, meaning that they respect a cyclic group symmetry.
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Quantum low-density parity-check (qLDPC) codes provide a particularly promising avenue for achieving low-overhead quantum error correction. Alongside code ...
Quantum low-density parity-check (qLDPC) codes provide a particularly promising avenue for achieving low-overhead quantum error correction.
Our main result is an efficient decoding algorithm for these codes that corrects a near-linear number of adversarial errors. En route, we give a similar ...
Decoding Quasi-Cyclic codes is NP-complete ... Our result is directly related to theoretical security analyzes of code-based post-quantum cryptographic schemes, ...
LDPC code that can be put into quasi-cyclic form. Its parity check matrix can be put into the form of a block matrix consisting of either circulant permutation ...
Apr 27, 2018 · We introduce a quasi-cyclic code construction for multi-edge codes that is highly suitable for hardware-accelerated decoding on a graphics processing unit (GPU ...
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Nov 8, 2024 · In this paper, we propose a construction method for two-level quantum error-correcting codes via non-binary LDPC codes over an extended field of ...
Nov 30, 2021 · Quasicyclic codes are a state-of-the-art family of classical LDPC protocols with excellent performance under BP decoding.