发表机构
School of Mathematics, Nanjing University of Aeronautics and Astronautics; School of Science, Beijing Information Science and Technology University; Center for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University（南京航空航天大学数学学院; 北京信息科技大学理学院; 清华大学交叉信息研究院量子信息中心）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文提出用迹距离量化多路径干涉仪中的波动与粒子行为，建立二象性与三元性关系，拓展了迹距离的应用并开辟了量化新视角。
AI 中文摘要
干涉仪中的互补性关系反映了量子力学中的一个重要现象：波粒二象性。在此，我们发展了一种方法来量化多路径干涉仪中的波动行为和粒子行为。特别是，我们发现迹距离是波动和粒子度量的良好候选者。因此，分别建立了一些二象性关系和三元性关系。这项工作不仅将迹距离的应用扩展到干涉仪，而且为波动性和粒子性的量化开辟了新的视角。
英文摘要
The complementarity relations in an interferometer reflect an important phenomenon in quantum mechanics: wave-particle duality. Here, we develop a method to quantify both wave and particle behaviors in a multi-path interferometer. In particular, we find that the trace distance is a good candidate for wave and particle measures. As a result, some duality relations and triality ralations are established respectively. This work not only extends the application of the trace distance to the interferometer, but also opens up new perspectives on the quantification of waveness and particleness.
Comments24 pages,3 figures
Journal refJ. Phys. A: Math. Theor. 59 (2026) 335304
