Surely one can simply manipulate the four-(or eleven)-dimensional equations directly, rather than trying to make a measurement of a continuous object with a tool that only measures discrete states?
If you do that, it's analytical physics, not simulation. Unless you're just collapsing the wavefunction when you notice large entanglements, or something.
If it is... I hope they do not crash the system with the test.
http://www.huffingtonpost.co.uk/2012/12/12/physicists-universe-simulation-test-university-of-washington-matrix_n_2282745.html
Be sure to check out the actual reseach papers linked in the article! I would have linked to them directly, but the article is full of follow-on links of considerable interest.