Revealing hidden physical nonclassicality with nonnegative polynomials
Abstract
Understanding quantum phenomena which go beyond classical concepts is a focus of modern quantum physics. Here, we show how the theory of nonnegative polynomials emerging around Hilbert's 17th problem, can be used to optimally exploit data capturing the nonclassical nature of light. Specifically, we show that nonnegative polynomials can reveal nonclassicality in data even when it is hidden from standard detection methods up to now. Moreover, the abstract language of nonnegative polynomials also leads to a unified mathematical approach to nonclassicality for light and spin systems, allowing us to map methods for one to the other. Conversely, the physical problems arising also inspire several mathematical insights into characterisation of nonnegative polynomials.
Cite
@article{arxiv.2403.09807,
title = {Revealing hidden physical nonclassicality with nonnegative polynomials},
author = {Ties-A. Ohst and Benjamin Yadin and Birte Ostermann and Timo de Wolff and Otfried Gühne and Hai-Chau Nguyen},
journal= {arXiv preprint arXiv:2403.09807},
year = {2025}
}
Comments
17 pages, 5 figures, published version