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Certifying quantum code and circuit distances at scale
Bin Cheng, Naixu Guo, Feng Pan
Code and circuit distances characterize how strongly quantum error correction suppresses logical errors and guide code comparisons, schedule choices and resource estimates. Yet man…
Exact Maximum Likelihood Decoding beyond Treewidth via Rank-Decomposition Dynamic Programming
Bin Cheng, Feng Pan
Maximum-likelihood decoding provides an optimal decoding strategy for quantum error correction under stochastic Pauli noise. However, computing logical-class probabilities is chall…
Efficient foundation decoders for fault-tolerant quantum computing
Ge Yan, Shanchuan Li, Shiyi Xiao +4
Foundation decoders, a class of high-capacity neural decoders, are leading candidates for fault-tolerant quantum computing, with accurate and efficient decoding at large code dista…
Maximum Likelihood Decoding of Quantum Error Correction Codes
Hanyan Cao, Ge Yan, Yuxuan Du +1
Quantum error correction (QEC) is indispensable for realizing fault-tolerant quantum computation, yet its effectiveness hinges critically on the classical decoding algorithm that i…
Differentiable Maximum Likelihood Noise Estimation for Quantum Error Correction
Hanyan Cao, Dongyang Feng, Cheng Ye +2
Accurate noise estimation is essential for fault-tolerant quantum computing, since decoding per formance depends critically on the fidelity of circuit-level noise parameters. We in…
Generative Decoding for Quantum Error-correcting Codes
Hanyan Cao, Feng Pan, Dongyang Feng +2
Efficient and accurate decoding of quantum error-correcting codes is essential for fault-tolerant quantum computation, however, it is challenging due to the degeneracy of errors, t…
Exact Decoding of Repetition Code under Circuit Level Noise
Hanyan Cao, Shoukuan Zhao, Dongyang Feng +8
Repetition code forms a fundamental basis for quantum error correction experiments. To date, it stands as the sole code that has achieved large distances and extremely low error ra…