【廿周年院庆学术报告14】 · 【科•大数据论坛第30期】

一、报告题目： From Wave-Particle Duality to Wave-Particle-Mixedness Triality: An Uncertainty Approach  

二、报告人：骆顺龙/ Shunlong Luo  

三、时 间：2022年9月18日（周日）上午10:00--11:30

四、腾讯会议号：717-367-151（会议密码：220918）

报告摘要：The wave-particle duality, as a manifestation of Bohr's complementarity, is usually quantified in terms of path predictability and interference visibility. Various characterizations of the wave-particle duality have been proposed from an operational perspective, most of them are in forms of inequalities. In this talk, we shed different insights into the nature of the wave-particle duality by casting it into a form of information conservation in a multi-path interferometer, with uncertainty as a unified theme. More specifically, by employing the simple yet fundamental concept of variance, we establish a resolution of unity, which can be interpreted as a complementarity relation among wave feature, particle feature, and mixedness of a quantum state. The key idea of our approach lies  in that a quantum state, as a Hermitian operator, can also be naturally regarded as an observable, with measurement uncertainty (in a state) and state uncertainty (in a measurement) being exploited to quantify particle feature  and wave feature of a quantum state, respectively. These two kinds of uncertainties, although both are defined via variance, have fundamentally different properties and capture different features of a state. Together with the mixedness, which is a kind of uncertainty intrinsic to a quantum state, they add up to unity, and thus lead to a characterization of the wave-particle-mixedness complementarity.

报告人简介：骆顺龙, 中国科学院数学与系统科学研究院应用数学研究所研究员, 所长, 量子计算与量子信息处理研究中心主任。曾应邀在第八届国际工业与应用数学大会作一小时报告 (2015)。主要从事概率统计﹑量子论和信息论研究。

欢迎广大师生参加，联系人：陶元红。