Quantum steering and discord in hyperon-antihyperon system in electron-positron annihilation

Hyperon-antihyperon pairs produced from electron-positron annihilations provide a promising platform for exploring quantum-information properties in particle physics. In this work, we analyze quantum steering and quantum discord in hyperon-antihyperon systems produced from e + e − annihilations, based on the X -shaped spin density matrix reconstructed via quantum state tomography. We show that the behaviors of these correlations differ from those observed in elementary particle-antiparticle systems such as top quarks and τ leptons, owing to the polarization effects specific to hyperon decays. From the results, we examine the hierarchy of quantum correlations in hyperon-antihyperon systems, Bell nonlocality ⊂ steering ⊂ entanglement ⊂ discord . We also discuss the role of experimental loopholes and the impact of quantum decoherence in collider-based studies of quantum correlations.