Enhancing Decoding Performance using Efficient Error Learning

arXiv:2507.08536 · quant-ph, cs.IT, math.IT · Submitted 2025-07-11 · Read on arXiv

quant-ph, cs.IT, math.IT

Submitted: 2025-07-11

Updated: 2025-07-11

Terminology

• Fidelity — 15× in this paper · explained in 2 episodes
• Benchmarking — 13× in this paper · explained in 3 episodes
• Maximum Likelihood — 9× in this paper
• Calibration — 8× in this paper · explained in 7 episodes
• Cycle Error Reconstruction — 8× in this paper
• Minimum Weight — 5× in this paper
• Accuracy — 3× in this paper · explained in 1 episode
• Process tomography — 3× in this paper · explained in 2 episodes
• Quantum Circuits — 3× in this paper · explained in 2 episodes
• Randomized Benchmarking — 3× in this paper
• Trace — 3× in this paper · explained in 2 episodes
• Adam — 2× in this paper · explained in 2 episodes
• Ancilla Qubits — 2× in this paper · explained in 1 episode
• Low-Density Parity Check — 2× in this paper
• Minimum Weight Decoder — 2× in this paper
• Robustness — 2× in this paper · explained in 5 episodes
• Total Variation Distance — 2× in this paper
• Adaptation — 1× in this paper · explained in 1 episode
• Core — 1× in this paper · explained in 2 episodes
• Decoupling — 1× in this paper · explained in 2 episodes
• Effective Hamiltonian — 1× in this paper · explained in 2 episodes
• Hamiltonian Learning — 1× in this paper · explained in 2 episodes

Sources

• Optimal adaptation of surface-code decoders to local noise
• Characterizing physical and logical errors in a transversal CNOT via cycle error reconstruction
• Vectorization of quantum operations and its use
• Improving error suppression with noise-aware decoding
• Concatenated Quantum Codes
• Improved quantum error correction using soft information
• Benchmarking quantum computers

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• A convergent hierarchy of spectral gap certificates for qubit Hamiltonians
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