  The rapid developments of Quantum Information Science (QIS) have opened up
new avenues for exploring fundamental physics. Quantum nonlocality, a key
aspect for distinguishing quantum information from classical one, has undergone
extensive examinations in particles' decays through the violation of Bell-type
inequalities. Despite these advancements, a comprehensive framework based on
quantum information theory for particle interaction is still lacking. Trying to
close this gap, we introduce a generalized quantum measurement description for
decay processes of spin-1/2 hyperons. We validate this approach by aligning it
with established theoretical calculations and apply it to the joint decay of
correlated $\Lambda\bar{\Lambda}$ pairs. We employ quantum simulation to
observe the violation of CHSH inequalities in hyperon decays. Our generalized
measurement description is adaptable and can be extended to a variety of high
energy processes, including decays of vector mesons,
$J/\psi,\psi(2S)\rightarrow\Lambda\bar{\Lambda}$, in the Beijing Spectrometer
III (BESIII) experiment at the Beijing Electron Positron Collider (BEPC). The
methodology developed in this study can be applied to quantum correlation and
information processing in fundamental interactions.
