Cihan Okay (University of British Columbia), Robert Raussendorf (University of British Columbia)

We extend Arkhipov’s graph theoretic characterization of magic assignments to arbitrary collection of contexts by relaxing the require-ment that each observable belongs to exactly two contexts. We intro-duce topological realizations of operator constraints by 2-dimensional 
cell complexes. Then we prove that the assignment is non-magic if the first homotopy group of the topological realization is trivial.