Quantum entanglement, indistinguishability, and the absent-minded   driver's problem
  The absent-minded driver's problem illustrates that probabilistic strategies can give higher pay-offs than deterministic ones. We show that there are strategies using quantum entangled states that give even higher pay-offs, both for the original problem and for the generalized version with an arbitrary number of intersections and any possible set of pay-offs. 
Adan Cabello, John Calsamiglia