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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Optimal finite-dimensional probe states for quantum phase estimation under particle loss are found via constrained optimization, and a two-step measurement strategy achieves the ultimate precision limit as confirmed by numerical simulations.
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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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Optimal noisy quantum phase estimation with finite-dimensional states
Optimal finite-dimensional probe states for quantum phase estimation under particle loss are found via constrained optimization, and a two-step measurement strategy achieves the ultimate precision limit as confirmed by numerical simulations.