Identifying the Sign of Coherent Over-Rotations with Logarithmically Many Pauli Settings

arXiv:2607.21663 · quant-ph · Submitted 2026-07-23 · Read on arXiv

quant-ph

Submitted: 2026-07-23

Updated: 2026-09-24

Terminology

• Fisher Information — 22× in this paper · explained in 3 episodes
• Benchmarking — 12× in this paper · explained in 3 episodes
• Consistency — 10× in this paper · explained in 3 episodes
• Degeneracy — 6× in this paper · explained in 3 episodes
• Calibration — 5× in this paper · explained in 7 episodes
• Sample Complexity — 4× in this paper · explained in 15 episodes
• Core — 2× in this paper · explained in 2 episodes
• Hamiltonian Learning — 2× in this paper · explained in 2 episodes
• Inverse Problem — 2× in this paper · explained in 2 episodes
• Robustness — 2× in this paper · explained in 5 episodes
• Accuracy — 1× in this paper · explained in 1 episode
• Active Learning — 1× in this paper · explained in 6 episodes
• Anti-correlation — 1× in this paper · explained in 3 episodes
• Gauge Freedom — 1× in this paper · explained in 2 episodes
• Phase Transitions — 1× in this paper · explained in 2 episodes
• Process tomography — 1× in this paper · explained in 2 episodes
• Quantum Circuits — 1× in this paper · explained in 2 episodes
• Spectral Gap — 1× in this paper · explained in 5 episodes
• Verification — 1× in this paper · explained in 2 episodes

Sources

• A Practical Introduction to Benchmarking and Characterization of Quantum Computers
• Gate Set Tomography
• What randomized benchmarking actually measures
• Foundations for learning from noisy quantum experiments
• Coherence Response in Noisy Quantum Measurements
• The learnability of Pauli noise
• Efficient Characterization of Coherent and Correlated Low-Degree Noise in Layers of Gates
• Robust Calibration of a Universal Single-Qubit Gate-Set via Robust Phase Estimation
• Hamiltonian Learning and Certification Using Quantum Resources
• Overcoming sloppiness for enhanced metrology in continuous-variable quantum statistical models
• Metrological symmetries in singular quantum multi-parameter estimation
• Estimating the Coherence of Noise
• An Interpretation of the Moore-Penrose Generalized Inverse of a Singular Fisher Information Matrix
• Spectral Thresholds for Identifiability and Stability:Finite-Sample Phase Transitions in High-Dimensional Learning
• A Unified Blockwise Measurement Design for Learning Quantum Channels and Lindbladians via Low-Rank Matrix Sensing
• Robust Online Hamiltonian Learning
• Compressed-sensing Lindbladian quantum tomography with trapped ions
• Self-Consistent Quantum Process Tomography
• Efficient estimation of Pauli channels
• Predicting Many Properties of a Quantum System from Very Few Measurements

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