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Wave-Particle-Mixedness Triality

发布者:数学科学学院      发布时间:2022-12-01      浏览次数:10

报告人:Shunlong Luo (骆顺龙)

报告时间:125号(周一)18:30 – 19:30

报告平台:腾讯会议  会议号:868 8055 6770


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。

 :   The wave-particle duality, as a manifestation of Bohr's complementarity, is usually quantified in terms of path predictability and interference visibility. In this talk, we shed novel 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. 





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