報告題目: Probability Distribution Densities on Uncertainty Regions
報告人: 張林 副教授(杭州電子科技大學(xué))
報告時間：2020年10月 15日，9:00-10:00
報告地點：騰訊會議，會議號：888741381 ，密碼：201015
報告摘要:
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 $\rho$.
報告人簡介：張林，碩士生導(dǎo)師。2012年畢業(yè)于浙江大學(xué)，獲得理學(xué)博士學(xué)位，2012年開始至今在杭州電子科技大學(xué)理學(xué)院工作。主要從事量子信息的研究。2019年6月-2020年6月期間訪問德國馬克斯普朗克數(shù)學(xué)研究所(萊比錫)，主題是隨機(jī)聯(lián)合測量和非局域性、不確定性關(guān)系。近年來以第一作者身份發(fā)表SCI學(xué)術(shù)論文30余篇，目前主持國家自然科學(xué)基金面上項目1項。
歡迎感興趣的老師和同學(xué)參加！
