Spin correlations of $\mathrm{\Lambda }$-hyperons embedded in the QCD strings formed in high energy collider experiments provide unique insight into their locality and entanglement features. We show from general considerations that, while the Clauser-Horne-Shimony-Holt inequality is less stringent for such states, they provide a benchmark for quantum-to-classical transitions induced by varying (i) the associated hadron multiplicity, (ii) the spin of nucleons, (iii) the separation in rapidity between pairs, and (iv) the kinematic regimes accessed. These studies also enable the extraction of quantitative measures of quantum entanglement. We first explore such questions within a simple model of a QCD string composed of singlets of two partial distinguishable fermion flavors and compare analytical results to those obtained on quantum hardware. We further discuss a class of spin Hamiltonians that model the dynamics of $\mathrm{\Lambda }$ spin correlations. Prospects for extracting quantum features of QCD strings from hyperon measurements at current and future colliders are outlined.

中文翻译：

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在高能对撞机上从Λ-hyperon自旋相关测量贝尔型不等式和量子纠缠

自旋相关性$\mathrm{\Lambda }$- 嵌入在高能对撞机实验中形成的 QCD 弦中的超子提供了对其局部性和纠缠特征的独特见解。我们从一般的考虑表明，虽然克劳塞-霍恩-西蒙尼-霍尔特不等式对这些状态不太严格，但它们为通过改变 (i) 相关的强子多重性 (ii)核子的自旋，（iii）对之间的快速分离，以及（iv）访问的运动机制。这些研究还能够提取量子纠缠的定量测量。我们首先在一个简单的 QCD 字符串模型中探索这些问题，该模型由两个部分可区分的费米子风味的单重态组成，并将分析结果与在量子硬件上获得的结果进行比较。$\mathrm{\Lambda }$自旋相关。概述了从当前和未来对撞机的超子测量中提取 QCD 弦的量子特征的前景。