Criteria for unbiased estimation: applications to noise-agnostic sensing and quantum channel estimation

arXiv:2503.17362 · quant-ph · Submitted 2025-03-21 · Read on arXiv

quant-ph

Submitted: 2025-03-21

Updated: 2026-07-30

Comments: 2 figures, 12 pages of main text, 18 pages of supplemental matrerial

DOI: 10.1038/s41534-026-01347-3

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

Terminology

• Benchmarking — 29× in this paper · explained in 3 episodes
• Fisher Information — 12× in this paper · explained in 3 episodes
• Hilbert Space — 6× in this paper · explained in 2 episodes
• Entanglement — 4× in this paper · explained in 3 episodes
• Supplemental Material — 4× in this paper
• Adam — 3× in this paper · explained in 2 episodes
• Trace — 3× in this paper · explained in 2 episodes
• Process tomography — 2× in this paper · explained in 2 episodes
• Benchmark — 1× in this paper · explained in 2 episodes
• Fidelity — 1× in this paper · explained in 2 episodes
• Unitary Dynamics — 1× in this paper · explained in 2 episodes

Sources

• Upper bounds on the Holevo Cram'er-Rao bound for multiparameter quantum parametric and semiparametric estimation
• Robust, self-consistent, closed-form tomography of quantum logic gates on a trapped ion qubit

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