Near-optimal incoherent tomography of low-rank quantum channels

arXiv:2609.23752 · quant-ph · Submitted 2026-09-20 · Read on arXiv

quant-ph

Submitted: 2026-09-20

Updated: 2026-09-20

Terminology

• Trace — 35× in this paper · explained in 2 episodes
• Query Complexity — 20× in this paper · explained in 2 episodes
• Fisher Information — 7× in this paper · explained in 3 episodes
• Hilbert Space — 6× in this paper · explained in 2 episodes
• Process tomography — 5× in this paper · explained in 2 episodes
• Regularization — 5× in this paper · explained in 3 episodes
• Accuracy — 2× in this paper · explained in 1 episode
• Adaptivity — 2× in this paper · explained in 1 episode
• Foundations of Computer Science — 2× in this paper
• Heisenberg Scaling — 2× in this paper · explained in 4 episodes
• Adaptive Algorithm — 1× in this paper · explained in 1 episode
• Adaptive Selection — 1× in this paper · explained in 1 episode
• Approximate Unitary t-design — 1× in this paper · explained in 1 episode
• Benchmarking — 1× in this paper · explained in 3 episodes
• Entanglement — 1× in this paper · explained in 4 episodes
• Sample Complexity — 1× in this paper · explained in 15 episodes

Sources

• Quantum memory advantage for quantum process tomography
• Quantum channel tomography: optimal bounds and a Heisenberg-to-classical phase transition
• Optimal classical shadow estimation of unitary channels at Heisenberg limit
• Tight Lower Bounds for State Tomography with Limited Entanglement
• Optimal learning of quantum channels in diamond distance
• Optimal Low-Rank Quantum State Tomography with Bounded-Sample Joint Measurements
• Improved Lower Bounds for Learning Quantum Channels in Diamond Distance

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