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<p>Quantum entanglement and Bell nonlocality are two phenomena that occur only in quantum systems. In both cases, these are correlations between two subsystems that are classically absent. Traditionally, these phenomena have been measured in low-energy photon and electron experiments, but more recently they have also been measured in high-energy particle collider environments. In this work, we propose measuring the entanglement and Bell nonlocality in the <i>τ</i><sup>+</sup><i>τ</i><sup>−</sup> state near and above its kinematic threshold at the Beijing Electron Positron Collider (BEPC). We find that in the existing dataset, entanglement is observable if systematic uncertainties are kept to 1%. In the upcoming run between 4.0 and 5.6 GeV, the entanglement is predicted to be measurable with a precision better than 4% and Bell nonlocality can be established at 5<i>σ</i> as long as systematic uncertainty can be controlled at level of 0<i>.</i>5%–2<i>.</i>0%, depending on the center-of-mass energy.</p>

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Entanglement and Bell nonlocality in τ+τ− at the BEPC

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年10月27日

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  • Tao Han,
  • Matthew Low,
  • Youle Su

摘要

Quantum entanglement and Bell nonlocality are two phenomena that occur only in quantum systems. In both cases, these are correlations between two subsystems that are classically absent. Traditionally, these phenomena have been measured in low-energy photon and electron experiments, but more recently they have also been measured in high-energy particle collider environments. In this work, we propose measuring the entanglement and Bell nonlocality in the τ+τ− state near and above its kinematic threshold at the Beijing Electron Positron Collider (BEPC). We find that in the existing dataset, entanglement is observable if systematic uncertainties are kept to 1%. In the upcoming run between 4.0 and 5.6 GeV, the entanglement is predicted to be measurable with a precision better than 4% and Bell nonlocality can be established at 5σ as long as systematic uncertainty can be controlled at level of 0.5%–2.0%, depending on the center-of-mass energy.