一、Titile:

Quantifying Symmetry and Asymmetry

二、Speaker:

Shunlong Luo(骆顺龙)

Academy of Mathematics and Systems Science

Chinese Academy of Sciences

(中国科学院数学与系统科学研究院)

三、Abstract:

By exploiting the algebraic and geometric structure of operation-state coupling, we show that an information-theoretic measure of asymmetry emerges naturally from the formalism of quantum mechanics. This is achieved by decomposing the operation-state coupling into a symmetric part and an asymmetric part, which satisfy a conservation relation. The symmetric part is represented by the symmetric Jordan product, and the asymmetric part is synthesized by the skew-symmetric Lie product. The latter leads to a significant extension of the celebrated Wigner-Yanase skew information, and has an operational interpretation as quantum coherence of a state with respect to an operation. This presents a basic framework for quantitatively addressing symmetry-asymmetry complementarity.

四、Date & Time:

2021/3/10 19:00

五、Zoom ID:

742 475 386

六、报告人简介：

骆顺龙，1989年毕业于上海交通大学，1995年获武汉大学博士学位，2001年任中国科学院数学与系统科学研究院研究员，博士生导师。现任中国科学院数学与系统科学研究院应用数学研究所所长，量子计算与量子信息处理研究中心主任,北京数学会副理事长。曾应邀在第八届国际工业与应用数学大会作一小时大会报告(2015)。主要从事概率统计﹑量子论和信息论研究,相关工作被引用6000余次(Google Scholar)。