Correlations between the spins of top-quark pairs produced at a collider can be used to probe quantum entanglement at energies never explored so far. We show how the measurement of a single observable can provide a test of the violation of a Bell inequality at the 98% C.L. with the statistical uncertainty of the data already collected at the Large Hadron Collider, and at the 99.99% C.L. with the higher luminosity of the next run. Detector acceptance, efficiency, and migration effects are taken into account. The test relies on the spin correlations alone and does not require the determination of probabilities—in contrast to all other tests of Bell inequalities.

中文翻译：

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用顶夸克对在 LHC 上测试贝尔不等式

对撞机产生的顶夸克对的自旋之间的相关性可用于探测迄今为止从未探索过的能量下的量子纠缠。我们展示了在 98% CL 和 99.99% CL 具有更高光度的数据的统计不确定性下，单个可观测值的测量如何提供对贝尔不等式的违反情况的测试下一次运行。检测器的接受度、效率和迁移影响都被考虑在内。与贝尔不等式的所有其他检验相比，该检验仅依赖于自旋相关性，不需要确定概率。