It is exciting to see that Mark Howard, Joseph Emerson, and Joel Wallman have got their recent magic states and contextuality paper published in nature. It is an interesting result that show a connection between contextuality and having a negative Wigner function. It is pretty clear that having a positive Wigner function ensures a noncontextual model for all stabiliser measurements. What these guys have shown is the converse, that for any negativity in the Wigner function we can find stabiliser measurements that do not permit a noncontextual description. If your not familar with the idea of contextuality then I’d refer you the paper, but it is useful to note that non-locality (experiments violating Bell inequalities) is a specific kind of contextuality.

See here for press release.