Optimal Low-Rank Quantum State Tomography with Bounded-Sample Joint Measurements

arXiv:2609.10514 · quant-ph, cs.DS, cs.IT, cs.LG, math.IT · Submitted 2026-09-09 · Read on arXiv

quant-ph, cs.DS, cs.IT, cs.LG, math.IT

Submitted: 2026-09-09

Updated: 2026-10-05

Comments: 70 pages

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Trace — 88× in this paper · explained in 2 episodes
• Fisher Information — 80× in this paper · explained in 3 episodes
• Sample Complexity — 20× in this paper · explained in 15 episodes
• Adaptivity — 10× in this paper · explained in 1 episode
• Accuracy — 5× in this paper · explained in 1 episode
• Additivity — 3× in this paper · explained in 1 episode
• Ambient Dimension — 3× in this paper · explained in 1 episode
• Hilbert Space — 3× in this paper · explained in 2 episodes
• Entanglement — 2× in this paper · explained in 4 episodes
• Trace Distance — 2× in this paper · explained in 3 episodes
• Alternation — 1× in this paper · explained in 1 episode
• Core — 1× in this paper · explained in 2 episodes
• Intrinsic Dimension — 1× in this paper · explained in 2 episodes

Sources

• Tight Lower Bounds for State Tomography with Limited Entanglement
• Optimal lower bounds for quantum state tomography

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