Sample-Efficient Tomography of a Class of Mixed States with Extensive Entanglement and Magic

arXiv:2609.27177 · quant-ph · Submitted 2026-09-23 · Read on arXiv

quant-ph

Submitted: 2026-09-23

Updated: 2026-09-23

Terminology

• Trace — 33× in this paper · explained in 2 episodes
• Entanglement — 29× in this paper · explained in 4 episodes
• Accuracy — 19× in this paper · explained in 1 episode
• Calibration — 6× in this paper · explained in 7 episodes
• Sample Complexity — 6× in this paper · explained in 15 episodes
• Aggregation — 4× in this paper · explained in 1 episode
• Fidelity — 4× in this paper · explained in 2 episodes
• Trace Distance — 4× in this paper · explained in 3 episodes
• Additivity — 3× in this paper · explained in 1 episode
• Core — 3× in this paper · explained in 2 episodes
• Entanglement Entropy — 3× in this paper · explained in 2 episodes
• Hypergraph — 3× in this paper · explained in 2 episodes
• Quantum Circuits — 3× in this paper · explained in 2 episodes
• Stabilizer States — 3× in this paper · explained in 2 episodes
• Supplemental Material — 3× in this paper
• Admissible Tuple — 2× in this paper · explained in 1 episode
• Decode — 2× in this paper · explained in 2 episodes
• Degeneracy — 2× in this paper · explained in 3 episodes
• Reconstruction Error — 1× in this paper · explained in 2 episodes
• Sample Efficiency — 1× in this paper · explained in 4 episodes
• Shadow Tomography — 1× in this paper · explained in 4 episodes
• Structural Constraints — 1× in this paper · explained in 2 episodes

Sources

• Learning stabilizer states by Bell sampling
• Efficient Learning of Quantum States Prepared With Few Non-Clifford Gates
• A Tutorial on Multivariate $k$-Statistics and their Computation
• Non-Local Magic from the Entanglement Spectrum

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