Root-system structure of sloppiness in passive Gaussian metrology

arXiv:2609.36579 · quant-ph · Submitted 2026-09-29 · Read on arXiv

quant-ph

Submitted: 2026-09-29

Updated: 2026-09-29

Terminology

• Calibration — 7× in this paper · explained in 7 episodes
• Redundancy — 7× in this paper · explained in 2 episodes
• Trace — 7× in this paper · explained in 2 episodes
• Degeneracy — 5× in this paper · explained in 3 episodes
• Robustness — 2× in this paper · explained in 5 episodes
• Accuracy — 1× in this paper · explained in 1 episode
• Fisher Information — 1× in this paper · explained in 3 episodes
• Hilbert Space — 1× in this paper · explained in 2 episodes
• Quantum Fisher Information (QFI) — 1× in this paper · explained in 13 episodes

Sources

• Phase space formalism for quantum estimation of Gaussian states
• Estimation of Gaussian quantum states
• Multiparameter squeezing for optimal quantum enhancements in sensor networks
• Overcoming sloppiness for enhanced metrology in continuous-variable quantum statistical models
• Scrambling for precision: optimizing multiparameter qubit estimation in the face of sloppiness and incompatibility
• Mitigating sloppiness in joint estimation of successive squeezing parameters
• Controlling Sloppiness in Two-Phase Estimation with a Tunable Weak Measurement
• Multiparameter quantum estimation with Gaussian states: efficiently evaluating Holevo, RLD and SLD Cram'er-Rao bounds
• Even Odd Splitting of the Gaussian Quantum Fisher Information: From Symplectic Geometry to Metrology
• Cartan Quantum Metrology
• Sp(2N, R) interferometry in multi-mode Gaussian bosonic systems for optimal metrology and quantum control
• Estimation of a parameter encoded in the modal structure of a light beam: a quantum theory
• Hierarchy of saturation conditions for multiparameter quantum metrology bounds
• On quantumness in multi-parameter quantum estimation
• Upper bounds on the Holevo Cram'er-Rao bound for multiparameter quantum parametric and semiparametric estimation

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