Approaching the ultimate limit of quantum multiparameter estimation by many-body physics

2026/03/18 by Mankei Tsang · 1 voice
Physics and Astronomy · #quant-ph

paper · pdf

arxiv published 2026/03/18 · arxiv updated 2026/03/26

Abstract

I propose a physical measurement scheme on multiple independent and identically distributed quantum objects to approach the Holevo--Nagaoka bound for quantum multiparameter estimation. The scheme entails a physical interaction of the objects with bosonic ancillas, followed by a general-dyne measurement of the ancillas. The proposal offers a more concrete description of the experimental setup needed to achieve the ultimate precision limit set by the bound.

Citations

• The debiased Keyl's algorithm: a new unbiased estimator for full state tomography
• Advances in multiparameter quantum sensing and metrology
• Randomized measurements for multi-parameter quantum metrology
• Alexander S. Holevo's Researches in Quantum Information Theory in 20th Century
• Quantum sensing
• Nonlinear quantum optics mediated by Rydberg interactions
• Fundamental Quantum Limit to Waveform Estimation
• When is a quantum measurement?

Discussions

• To achieve the ultimate Holevo-Nagaoka bound for quantum multiparameter estimation, people have used a lot of fancy math to describe the measurement, but it offers little clue what the experiment woul [bsky, 3 points, 1 comments]

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