Dynamical, thermal, and ground-state multiparameter quantum metrology: Fundamental limits and their attainability in magnetometry

arXiv:2609.25977 · quant-ph, cond-mat.stat-mech · Submitted 2026-09-22 · Read on arXiv

quant-ph, cond-mat.stat-mech

Submitted: 2026-09-22

Updated: 2026-09-25

Terminology

• Gibbs State — 12× in this paper · explained in 2 episodes
• Fisher Information — 10× in this paper · explained in 3 episodes
• Unitary Dynamics — 10× in this paper · explained in 2 episodes
• Degeneracy — 6× in this paper · explained in 3 episodes
• Spectral Gap — 4× in this paper · explained in 5 episodes
• Hilbert Space — 3× in this paper · explained in 2 episodes
• Phase Transitions — 2× in this paper · explained in 2 episodes
• Quantum Fisher Information Matrix — 2× in this paper
• Mean Square Error Matrix — 1× in this paper
• Symmetric Logarithmic Derivative — 1× in this paper
• Trace — 1× in this paper · explained in 2 episodes

Sources

• Advances in multiparameter quantum sensing and metrology
• Precision Limits of Multiparameter Markovian-Noise Metrology
• Critical Quantum Sensing: a tutorial on parameter estimation near quantum phase transitions
• Squeezing- and non-Gaussianity-enhanced quantum thermometry and magnetometry via quadratic interactions in optomechanical-like systems
• OH molecule as a quantum probe to jointly estimate electric and magnetic fields
• Multi-Parameter Multi-Critical Metrology of the Dicke Model
• Multiparameter Quantum Metrology in Molecular Dimers
• Geometric obstructions to quadratic time scaling in multiparameter quantum estimation
• Differential magnetometry with partially flipped Dicke states
• Photonic Quantum Metrology
• Multiparameter quantum metrology using strongly interacting spin systems
• Machine Learning Assisted Vector Atomic Magnetometry
• Vector Magnetometry with Broadband Microwave Fields in Nitrogen-Vacancy Centers in Diamond
• Approaching the Limit in Multiparameter AC Magnetometry with Quantum Control
• Quantum Fisher Information and its dynamical nature
• The differential information-geometry of quantum phase transitions
• Fisher geometry reshapes the effect of incompatibility in multiparameter quantum estimation
• Measurement incompatibility in Bayesian multiparameter quantum estimation
• Strategy optimization for Bayesian quantum parameter estimation with finite copies: Adaptive greedy, parallel, sequential, and general strategies

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• Universal Bound and Phase Transition in Many-Body Fermionic Non-Gaussianity