报告题目:  Probability Distribution Densities on Uncertainty Regions

报告人:  张林 副教授(杭州电子科技大学)

报告时间：2020年10月 15日，9:00-10:00

报告地点：腾讯会议，会议号：888741381 ，密码：201015

报告摘要:

For a pair of qubit observables $\bsA$ and $\bsB$, we consider the joint probability distribution density problem of their standard deviations. By deriving such probability density function (pdf), we can determine its support which is just identified with the uncertainty region, i.e., the set of 2-tuples $(\Delta_\rho \bsA,\Delta_\rho \bsB)$, where $\Delta_\rho \bsX$ is the standard deviation of observable $\bsX(=\bsA,\bsB)$ at all quantum states $\rho$. Moreover, we also determine analytically the equation of the boundary curve of uncertainty region. Our approach is based on calculating the joint pdfs of a pair of random expectation values $(\Tr{\bsA\rho},\Tr{\bsB\rho})$. It also creates a new method on

investigating uncertainty relations. Besides, theoretically, our results can be generalized to multiple observables in higher dimensional spaces. As a by-product, we get probability density functions of random expectation value $\Tr{\bsA\rho}$ and uncertainty $\Delta_\rho \bsA$ of a single qubit observable at a random mixed quantum state $\rho$.

报告人简介：张林，硕士生导师。2012年毕业于浙江大学，获得理学博士学位，2012年开始至今在杭州电子科技大学理学院工作。主要从事量子信息的研究。2019年6月-2020年6月期间访问德国马克斯普朗克数学研究所(莱比锡)，主题是随机联合测量和非局域性、不确定性关系。近年来以第一作者身份发表SCI学术论文30余篇，目前主持国家自然科学基金面上项目1项。

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