Annales Henri Poincaré | 2019
Classifying Space for Quantum Contextuality
Abstract
We construct a topological space to study contextuality in quantum mechanics. The resulting space is a classifying space in the sense of algebraic topology. Cohomological invariants of our space correspond to physical quantities relevant to the study of contextuality. Within this framework the Wigner function of a quantum state can be interpreted as a class in the twisted K -theory of the classifying space.