  A quantum version of the Monty Hall problem is proposed inspired by an
experimentally-feasible, quantum-optical set-up that resembles the classical
game. The expected payoff of the player is studied by analyzing the classical
expectation values of the obtained quantum probabilities. Results are examined
by considering both entanglement and non-entanglement between player and host,
and using two different approaches: random and strategy-based. We also discuss
the influence of noise on the game outcome when the parties play through a
noisy quantum channel. The experimental set-up can be used to quickly verify
the counter-intuitive result of the Monty Hall problem, adding pedagogic value
to the proposal.
