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

Hyperon-antihyperon pairs produced in high-energy electron-positron annihilation are promising systems for the study of quantum information properties. In this work, we make an analysis of two types of quantum correlations, the quantum steering and discord, in hyperon-antihyperon systems produced in electron-positron annihilation based on the $X$-shaped spin density matrix. The behaviors of these quantum correlations differ from those in elementary particle-antiparticle systems such as the top quark and tau lepton due to the polarization effect. The hierarchy of quantum correlations is examined and partially confirmed in hyperon-antihyperon systems: $\text{Bell Nonlocality}\subset \text{Steering}\subset \text{Entanglement}\subset \text{Discord}$. The loopholes and quantum decoherence effect are also discussed in our work.