We determine quantum precision limits for estimation of damping constants and temperature of lossy bosonic channels. A direct application would be the use of light for estimation of the absorption and the temperature of a transparent slab. Analytic lower bounds are obtained for the uncertainty in the estimation, through a purification procedure that replaces the master equation description by a unitary evolution involving the system and ad hoc environments. For zero temperature, Fock states are shown to lead to the minimal uncertainty in the estimation of damping, with boson-counting being the best measurement procedure. In both damping and temperature estimates, sequential pre-thermalization measurements, through a stream of single bosons, may lead to huge gain in precision.
@article{arxiv.2008.02728,
title = {Quantum sensing of open systems: Estimation of damping constants and temperature},
author = {Jiaxuan Wang and Luiz Davidovich and Girish Saran Agarwal},
journal= {arXiv preprint arXiv:2008.02728},
year = {2020}
}