This website requires JavaScript.

Newton's identities and positivity of trace class integral operators

G. HomaR. BalkaJ. Z. Bern\'adM. K\'arolyA. Csord\'as
Jul 2022
摘要
We provide a countable set of conditions based on elementary symmetricpolynomials that are necessary and sufficient for a trace class integraloperator to be positive semidefinite, which is an important cornerstone forquantum theory in phase-space representation. We also present a new,efficiently computable algorithm based on Newton's identities. Our tests aremuch sensitive than the ones given by the methods of linear entropy andRobertson-Schr\"odinger's uncertainty relations; our first one is equivalent tothe non-negativity of the linear entropy.
展开全部
图表提取

暂无人提供速读十问回答

论文十问由沈向洋博士提出,鼓励大家带着这十个问题去阅读论文,用有用的信息构建认知模型。写出自己的十问回答,还有机会在当前页面展示哦。

Q1论文试图解决什么问题?
Q2这是否是一个新的问题?
Q3这篇文章要验证一个什么科学假设?
0
被引用
笔记
问答