Temperature and non-Markovian parameter estimation in quantum Brownian motion
Abstract
We investigate a quantum metrological protocol operating in a non-Markovian environment by employing the quantum Brownian motion (QBM) model, in which the system is linearly coupled to a reservoir of harmonic oscillators. Specifically, we use a position-momentum (PM) correlated Gaussian state as a probe to examine how memory effects influence the evolution of the system's covariance matrix in the weak coupling regime under both high- and low-temperature conditions. To confirm the presence of non-Markovian behavior, we apply two well-established non-Markovianity quantifiers. Furthermore, we estimate both the channel's sample temperature and its non-Markovianity witness parameter. Our results demonstrate that non-Markovianity and PM correlations can jointly be valuable resources to enhance metrological performance.
Cite
@article{arxiv.2504.08529,
title = {Temperature and non-Markovian parameter estimation in quantum Brownian motion},
author = {João C. P. Porto and Carlos H. S. Vieira and Irismar G. da Paz and Pedro R. Dieguez and Lucas S. Marinho},
journal= {arXiv preprint arXiv:2504.08529},
year = {2025}
}