The Quantum Monty Hall Problem

Details The Quantum Monty Hall Problem The Quantum Monty Hall Problem

2002-02-21

arxiv.org/abs/quant-ph/0202120v1

Quant. Inf. Comput. 2, no. 5, 355-366 (2002)

Physics

Quantum Physics

8 Pages, RevTeX 4. Associated information (including a Java simulation) can be found at http://www.imaph.tu-bs.de/qi/monty

Scientific paper

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.

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