Ultimate precision bounds for multiparameter Markovian noise metrology show average variance scaling as Ω(1/(T R²)) with Heisenberg scaling in dissipative channels R when using entangled probes and high-rank signal correlations, attainable via rapid prepare-and-measure protocols.
Advances in multipa- rameter quantum sensing and metrology
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Introduces semi-classical geometric tensor relating quantum geometric tensor to classical Fisher information matrix and proves a sharpened matrix inequality for multiparameter quantum bounds.
In the Dicke model, multiparameter critical metrology achieves square-root divergent scaling for two parameters via higher-order QFIM contributions, while a Dicke dimer with triple point restores quadratic scaling for specific pairs.
Experimental protocol for simultaneous two-parameter quantum polarimetry approaching the QCRB across a wide parameter range with ~200 photon pairs.
Modular non-Hermitian systems enrich skin effect and bulk-boundary breakdown while enhancing sensing performance near spectral topological phase transitions, including multi-parameter cases.
OH molecule proposed as quantum probe for joint electric and magnetic field estimation, with optimized stationary and dynamical protocols that address incompatibility and show temperature effects on error.
A historical and conceptual review of uncertainty relations, their mathematical forms, interconnections, and applications in quantum metrology, dedicated to the principle's centenary.
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Precision Limits of Multiparameter Markovian-Noise Metrology
Ultimate precision bounds for multiparameter Markovian noise metrology show average variance scaling as Ω(1/(T R²)) with Heisenberg scaling in dissipative channels R when using entangled probes and high-rank signal correlations, attainable via rapid prepare-and-measure protocols.
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Semi-classical geometric tensor in multiparameter quantum information
Introduces semi-classical geometric tensor relating quantum geometric tensor to classical Fisher information matrix and proves a sharpened matrix inequality for multiparameter quantum bounds.
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Multi-Parameter Multi-Critical Metrology of the Dicke Model
In the Dicke model, multiparameter critical metrology achieves square-root divergent scaling for two parameters via higher-order QFIM contributions, while a Dicke dimer with triple point restores quadratic scaling for specific pairs.
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Multi-parameter two-photon polarimetry at the quantum limit
Experimental protocol for simultaneous two-parameter quantum polarimetry approaching the QCRB across a wide parameter range with ~200 photon pairs.
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Modular non-Hermitian topology and its application to critical sensing
Modular non-Hermitian systems enrich skin effect and bulk-boundary breakdown while enhancing sensing performance near spectral topological phase transitions, including multi-parameter cases.
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OH molecule as a quantum probe to jointly estimate electric and magnetic fields
OH molecule proposed as quantum probe for joint electric and magnetic field estimation, with optimized stationary and dynamical protocols that address incompatibility and show temperature effects on error.
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$100\pm\Delta t$ Years of Quantum Uncertainty: From Origins to Modern Insights
A historical and conceptual review of uncertainty relations, their mathematical forms, interconnections, and applications in quantum metrology, dedicated to the principle's centenary.