Details
Original language | English |
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Pages (from-to) | 355-366 |
Number of pages | 12 |
Journal | Quant. Inform. Comput. |
Volume | 2 |
Issue number | 5 |
Publication status | Published - 2002 |
Abstract
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In: Quant. Inform. Comput., Vol. 2, No. 5, 2002, p. 355-366.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - The quantum Monty Hall problem
AU - D'Ariano, G. M.
AU - Gill, R. D.
AU - Keyl, M.
AU - Werner, R. F.
AU - Kümmerer, B.
AU - Maassen, H.
PY - 2002
Y1 - 2002
N2 - 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.
AB - 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.
M3 - Article
VL - 2
SP - 355
EP - 366
JO - Quant. Inform. Comput.
JF - Quant. Inform. Comput.
IS - 5
ER -