Probing Higher‐Order Quantum Correlations in High Energy Physics

ABSTRACT

Nonlocality is a peculiar nature of quanta, and it stands as an important quantum resource in application. Yet its mere linear property of it, viz. the first order in moment, has been explored through various inequalities. Noticing that the vast higher‐order regime remains unexplored, in this study we investigate the higher‐order quantum correlations in entangled hyperon‐antihyperon system, which may be generated massively in charmonium decays. A new type of Clauser‐Horne inequality for statistical cumulants and central moments is formulated. We find that a significant violation of the third‐order constraint, indicating the existence of higher‐order correlation, exists in hyperon‐antihyperon system and can be observed in high‐energy physics experiments, like BESIII and Belle II. Notably, the violation is more pronounced in higher‐energy systems of the pair against the kinematic contamination of timelike events.