Estimation of the set of states obtained in particle number measurement schemes

TL;DR

This paper explores the generation of non-Gaussian states through particle number measurement on entangled Gaussian states, identifying optimal states based on probability and non-Gaussianity.

Contribution

It introduces a detailed analysis of the parameters influencing Gaussian and non-Gaussian features in measurement-generated states and identifies optimal non-Gaussian states.

Findings

States depend on Gaussian and non-Gaussian parameters

Optimal states maximize generation probability and non-Gaussianity

Characterization of non-Gaussian states generated by particle measurement

Abstract

The paper investigated a set of non-Gaussian states generated by measuring the number of particles in one of the modes of a two-mode entangled Gaussian state. It was demonstrated that all generated states depend on two types of parameters: some parameters are responsible for Gaussian characteristics, while other parameters are responsible for non-Gaussian characteristics. Among all generated states, we identified those optimally generated in terms of the generation probability and the magnitude of non-Gaussianity.