The quantum monty hall problem (pp355-366)
        G.M. D'Ariano, R.D. Gill, M. Keyl, B. Kummerer, H. Maassen, and R.F. Werner
          doi: https://doi.org/10.26421/QIC2.5-3
Abstracts: We consider a quantum version of a well-known statistical decision problem, whose solution is, at first sight, counter-intuitive to many. In the quantum version a continuum of possible choices (rather than a finite set) has to be considered. It can be phrased as a two person game between a player P and a quiz master Q. Then P always has a strategy at least as good as in the classical case, while Q's best strategy results in a game having the same value as the classical game. We investigate the consequences of Q storing his information in classical or quantum ways. It turns out that Q's optimal strategy is to use a completely entangled quantum notepad, on which to encode his prior information.
Key words: quantum game theory, Monty Hall problem