Exponential Advantage of Quantum over Classical References in Leakage Detection

arXiv:2609.36541 · quant-ph · Submitted 2026-09-29 · Read on arXiv

quant-ph

Submitted: 2026-09-29

Updated: 2026-09-29

Terminology

• Trace — 15× in this paper · explained in 2 episodes
• Entanglement — 9× in this paper · explained in 4 episodes
• Calibration — 6× in this paper · explained in 7 episodes
• Fidelity — 6× in this paper · explained in 2 episodes
• Ambient Dimension — 4× in this paper · explained in 1 episode
• Benchmark — 3× in this paper · explained in 2 episodes
• Supplemental Material — 3× in this paper
• Verification — 3× in this paper · explained in 2 episodes
• Accuracy — 1× in this paper · explained in 1 episode
• Hamiltonian Learning — 1× in this paper · explained in 2 episodes
• Hilbert Space — 1× in this paper · explained in 2 episodes
• Quantum Circuits — 1× in this paper · explained in 2 episodes
• Sample Complexity — 1× in this paper · explained in 15 episodes
• Scaling Laws — 1× in this paper · explained in 4 episodes
• Trace Distance — 1× in this paper · explained in 3 episodes

Sources

• Efficient quantum tomography
• Exponential separations between learning with and without quantum memory
• Entanglement is Necessary for Optimal Quantum Property Testing
• An Exponential Sample-Complexity Advantage for Coherent Quantum Inference
• High-dimensional quantum Schur transforms
• Quantum Spectral Anomaly Detection
• Gelfand-Tsetlin basis for partially transposed permutations, with applications to quantum information
• Efficient Quantum Compression for Ensembles of Identically Prepared Mixed States

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