  Top quarks have been recently shown to be a promising system to study quantum
information at the highest-energy scale available. The current lines of
research mostly discuss topics such as entanglement, Bell nonlocality or
quantum tomography. Here, we provide the full picture of quantum correlations
in top quarks by studying also quantum discord and steering. We find that both
phenomena are present at the LHC. In particular, quantum discord in a separable
quantum state is expected to be detected with high-statistical significance.
Interestingly, due to the singular nature of the measurement process, quantum
discord can be measured following its original definition, and the steering
ellipsoid can be experimentally reconstructed, both highly-demanding
measurements in conventional setups. In contrast to entanglement, the
asymmetric nature of quantum discord and steering can provide witnesses of
$CP$-violating physics beyond the Standard Model.
