Unravelling the noise: the discrimination of wave function collapse models under time-continuous measurements

Abstract

Inspired by the notion that environmental noise is in principle observable, whilst fundamental noise due to spontaneous localisation would not be, we study the estimation of the diffusion parameter induced by wave function collapse models under continuous monitoring of the environment. We take into account finite measurement efficiencies and, in order to quantify the advantage granted by monitoring, we analyse the quantum Fisher information associated with such a diffusion parameter, identify optimal measurements in limiting cases, and assess the performance of such measurements in more realistic conditions.

5+2 pages, 4 figures

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• Reaching for the quantum limits in the simultaneous estimation of phase and phase diffusion
• Sub-nK thermometry of an interacting $d$-dimensional homogeneous Bose gas
• Cramér-Rao bound for time-continuous measurements in linear Gaussian quantum systems
• Probing Spontaneous Wave-Function Collapse with Entangled Levitating Nanospheres
• Quantum-limited estimation of continuous spontaneous localization
• Unconditional mechanical squeezing via back-action evading measurements and non-optimal feedback control
• Quantum enhanced estimation of diffusion
• Quantum frequency estimation with conditional states of continuously monitored independent dephasing channels
• Time-local optimal control for parameter estimation in the Gaussian regime
• Optomechanics-based quantum estimation theory for collapse models