arXiv subjects

Angel Gutierrez-Rubio

Publications and source records attributed to Angel Gutierrez-Rubio.

2 recordsLinked to original sources

arXiv2022

Bayesian estimation of correlation functions

We apply Bayesian statistics to the estimation of correlation functions. We give the probability distributions of auto- and cross-correlations as functions of the data. Our procedure uses the measured data optimally and informs about the certainty level of the estimation. Our results apply to general stationary processes and their essence is a non-parametric estimation of spectra. It allows one to better understand the statistical noise fluctuations, assess the correlations between two variables, and postulate parametric models of spectra that can be further tested. We also propose a method to numerically generate correlated noise with a given spectrum.

physics.data-an↗

arXiv2021

Optimal frequency estimation and its application to quantum dots

We address the interaction-time optimization for frequency estimation in a two-level system. The goal is to estimate with maximum precision a stochastic perturbation. Our approach is valid for any figure of merit used to define optimality, and is illustrated for the variance and entropy. For the entropy, we clarify the connection to maximum-likelihood estimation. We devise novel estimation protocols with and without feedback. They outperform common protocols given in the literature. We design a probabilistic self-consistent protocol as an optimal estimation without feedback. It can improve current experimental techniques and boost coherence times in quantum computing.

cond-mat.mes-hall↗