Connecting measurement invasiveness to optimal metrological scenarios

Abstract

The connection between the Leggett-Garg inequality and optimal scenarios from the point of view of quantum metrology is investigated for perfect and noisy general dichotomic measurements. In this context, we show that the Fisher information can be expressed in terms of quantum temporal correlations. This connection allows us to associate scenarios with relatively high Fisher information to scenarios in which the Leggett-Garg inequality is violated. We thus demonstrate a qualitative and, to some extent, quantitative link between measurement invasiveness and metrological performance. Finally, we illustrate our results by using a specific model for spin systems.

6 pages, 3 figures; close to published version

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• Measures of macroscopicity for quantum spin systems
• Necessary and sufficient conditions for macroscopic realism from quantum mechanics
• Achieving sub-shot-noise sensing at finite temperatures
• Disturbance-Based Measure of Macroscopic Coherence

Cited by in corpus (6)

• Thermometry in the quantum regime: Recent theoretical progress
• In and out of equilibrium quantum metrology with mean-field quantum criticality
• Trade-off between information and disturbance in qubit thermometry
• Quantifying quantum invasiveness
• Invasiveness of non-equilibrium quantum thermometry
• Precision bounds for multiple currents in open quantum systems