标题： 在缪子对撞机上测试贝尔不等式并探测量子纠缠 显示英文标题

标题： Testing Bell inequalities and probing quantum entanglement at a muon collider

摘要： μ子对撞机代表了在2040年代初LHC运行预计结束之后下一代粒子物理实验的一个有前景的候选方案。 在LHC上罕见或难以检测的过程，如多个规范玻色子的产生，在TeV级μ子对撞机上变得可探测。 我们在此展示了在潜在未来μ子对撞机上检测量子纠缠以及违反贝尔不等式在H到ZZ到4l事件中的前景。 我们表明，可以通过Z玻色子衰变产生的带电轻子的运动学来重建Z玻色子对的自旋密度矩阵。 一旦确定了密度矩阵，就可以直接获得各种贝尔算符的期望值，并测试Z玻色子对之间的量子纠缠。 通过基于蒙特卡罗模拟的详细研究，我们表明广义的CGLMP不等式可以被最大地违反，并且测试贝尔不等式可以以高显著性建立。 显示英文摘要

摘要： A muon collider represents a promising candidate for the next generation of particle physics experiments after the expected end of LHC operations in the early 2040s. Rare or hard-to-detect processes at the LHC, such as the production of multiple gauge bosons, become accessible at a TeV muon collider. We present here the prospects of detecting quantum entanglement and the violation of Bell inequalities in H to ZZ to 4l events at a potential future muon collider. We show that the spin density matrix of the Z boson pairs can be reconstructed using the kinematics of the charged leptons from the Z boson decays. Once the density matrix is determined, it is straightforward to obtain the expectation values of various Bell operators and test the quantum entanglement between the Z boson pair. Through a detailed study based on Monte-Carlo simulation, we show that the generalized CGLMP inequality can be maximally violated, and testing Bell inequalities could be established with high significance.