报告人：李田军教授，河南师范大学
邀请人：龚云贵教授
报告时间：2025年6月13日（周五），10:00
报告地点：龙赛理科楼南楼414会议室

报告人简介：
李田军，河南师范大学物理学院，教授；中国科学院理论物理研究所研究员，博士生导师。1991年7月于武汉大学物理系获学士学位，1994年7月于中国科学院理论物理研究所获硕士学位，2000年8月于威斯康星大学麦迪逊分校物理系获博士学位；2000年9月至2002年8月于宾西法尼亚大学物理天文系做博士后，2002年9月至2005年8月于普林斯顿高等研究院做研究人员。发表文章270余篇，引用次数8000余次，曾获得威斯康星大学麦迪逊分校 J. Van Vleck Fellowship；普林斯顿高等研究院 Fellowship；2018年享受政府特殊津贴等。

报告摘要：
We propose a new formalism for quantum entanglement, and study its generic searches at the colliders. For a general quantum system with N particles, we show that the quantum space (the total spin polarization parameter space) is complex projective space, and the classical space (the spin polarization parameter space for classical theory) is the cartesian product of the complex projective spaces. Thus, the quantum entanglement space is the difference of these two spaces. For the ff, AA, Af, fff, and ffA systems, we calculate their discriminants Δi​. The corresponding classical spaces are the discriminant locus Δ=0 for ff system, and intersections of the discriminant loci Δi​=0 for AA, Af, fff, and ffA systems in the quantum space. In particular, for two fermion ff system, we show that our discriminant criterion is equivalent to the original Peres-Horodecki criterion and the CHSH criterion. And thus our quantum entanglement space is indeed Bell non-local. At the colliders, we can reconstruct the discriminants from various measurements, and probe the quantum entanglement spaces at exact level. This provides a fundamental approach to test the quantum entanglement. In addition, for the specific approach, we propose a generic method to calculate the quantum range and classical range for the expectation value of any physics observable, and can probe the quantum entanglement spaces which the previous way cannot test for some cases. Furthermore, we define the quantum non-locality tests as the tests for quantum entanglement space via the space-like separated measurements, which can be done at colliders as well.

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