利用非负多项式揭示隐藏的物理非经典性
Revealing hidden physical nonclassicality with nonnegative polynomials
AI总结：
本文针对超越经典概念的量子现象研究，提出利用围绕希尔伯特第17问题的非负多项式理论，揭示现有标准方法隐藏的非经典性，实现光与自旋系统非经典性的统一数学方法并获得数学见解。
摘要：
理解超越经典概念的量子现象是现代量子物理学的研究重点。本文展示了围绕希尔伯特第17问题发展起来的非负多项式理论如何被用于优化利用捕捉光的非经典性质的数据。具体而言，我们证明即使数据中的非经典性被现有标准检测方法隐藏，非负多项式仍能将其揭示。此外，非负多项式的抽象语言为光和自旋系统的非经典性提供了统一的数学方法，使我们能将一种系统的方法映射到另一种系统。反过来，这些物理问题也为非负多项式的表征带来了若干数学见解。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
