Ascertaining higher-order quantum correlations in high energy physics

TL;DR

This paper explores higher-order quantum correlations in high energy physics, demonstrating significant violations of third-order constraints in hyperon-antihyperon systems, which can be observed in experiments like BESIII and Belle II.

Contribution

It introduces a new Clauser-Horne inequality for higher-order moments and shows its violation in hyperon-antihyperon systems, revealing unexplored quantum nonlocality regimes.

Findings

Significant violation of third-order quantum correlation constraints in hyperon-antihyperon systems.

Higher energy $ ext{Λ}ar{ ext{Λ}}$ pairs show more pronounced violations.

Potential observability of higher-order quantum correlations in high energy physics experiments.

Abstract

Nonlocality is a peculiar nature of quanta and it stands as an important quantum resource in application. Yet mere linear property of it, viz. the first order in moment, has been explored through various inequalities. Noticing the vast higher-order regime 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 manifests more in higher energy systems of the $\Lambda\bar{\Lambda}$ pair against the kinematic contamination of timelike events.