New examples of Kochen–Specker-type configurations on three qubits

A new example of a saturated Kochen–Specker (KS)-type configuration of 64 rays in eight-dimensional space (the Hilbert space of a triple of qubits) is constructed. It is proven that this configuration has a tropical dimension 6 and that it contains a critical subconfiguration of 36 rays. A natural multicoloured generalization of the KS theory is given based on a concept of an entropy of a saturated configuration of rays. (paper)