  One of the interesting topics in quantum contextuality is the construction
for various non-contextual inequalities. By introducing a new structure called
hyper-graph, we present a general method, which seems to be analytic and
extensible, to derive the non-contextual inequalities for the qutrit systems.
Based on this, several typical families of non-contextual inequalities are
discussed. And our approach may also help us to simplify some state-independent
proofs for quantum contextuality in one of our recent works.

Quantum Physics