Quantum contextuality is a counterintuitive phenomenon in quantum mechanics that has been extensively studied over the past two decades. In this talk, I will present a geometric perspective [1] on the structure of Pauli operators used in proving the Kochen-Specker Theorem. I will discuss recent advances in the study of the three-qubit Pauli group and explain how these configurations of Pauli operators can be leveraged to test contextual inequalities using a Noisy Intermediate-Scale Quantum (NISQ) computer.

 

[1]: Metod Saniga, Frédéric Holweck, Colm Kelleher, Axel Muller, Alain Giorgetti, and Henri de Boutray: Hexagons govern three-qubit contextuality. Quantum 9, 1601 (2025).