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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Derives symmetric Stinespring dilations and covariance constraints for Pauli channels and semigroups to enable explicit time-dependent constructions for quantum simulation.
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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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Symmetric dilations of Pauli channels and semigroups
Derives symmetric Stinespring dilations and covariance constraints for Pauli channels and semigroups to enable explicit time-dependent constructions for quantum simulation.