Optimal Purity Estimation with Incoherent Measurements

arXiv:2609.40248 · quant-ph · Submitted 2026-09-30 · Read on arXiv

quant-ph

Submitted: 2026-09-30

Updated: 2026-09-30

Comments: 27 pages, 1 figure

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

Terminology

• Adaptivity — 12× in this paper · explained in 1 episode
• Fisher Information — 9× in this paper · explained in 3 episodes
• Entanglement — 8× in this paper · explained in 3 episodes
• Accuracy — 4× in this paper · explained in 1 episode
• Adaptive Algorithm — 4× in this paper · explained in 1 episode
• Sample Complexity — 4× in this paper · explained in 15 episodes
• Trace — 4× in this paper · explained in 2 episodes
• Trace Distance — 2× in this paper · explained in 3 episodes
• Additivity — 1× in this paper · explained in 1 episode
• Annual Symposium on Foundations of Computer Science — 1× in this paper
• Fidelity — 1× in this paper · explained in 2 episodes
• Hilbert Space — 1× in this paper · explained in 2 episodes
• Loss Function — 1× in this paper · explained in 2 episodes

Sources

• On the sample complexity of purity and inner product estimation
• Quantum state testing with restricted measurements
• Optimal Quantum State Testing Even with Limited Entanglement

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