Unified nonclassicality criteria
Abstract
In this work we generalize the Bochner criterion addressing the characteristic function, i.e., the Fourier transform, of the Glauber-Sudarshan phase-space function. For this purpose we extend the Bochner theorem by including derivatives of the characteristic function. The resulting necessary and sufficient nonclassicality criteria unify previously known moment-based criteria with those based on the characteristic function. For applications of the generalized nonclassicality probes, we provide direct sampling formulas for balanced homodyne detection. A squeezed vacuum state is experimentally realized and characterized with our method. This complete framework -- theoretical unification, sampling approach, and experimental implementation -- presents an efficient toolbox to characterize quantum states of light for applications in quantum technology.
Cite
@article{arxiv.1505.06089,
title = {Unified nonclassicality criteria},
author = {Sergej Ryl and Jan Sperling and Elizabeth Agudelo and Melanie Mraz and Semjon Köhnke and Boris Hage and Werner Vogel},
journal= {arXiv preprint arXiv:1505.06089},
year = {2015}
}