The quantum Monty Hall problem

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Authors

  • G. M. D'Ariano
  • R. D. Gill
  • M. Keyl
  • R. F. Werner
  • B. Kümmerer
  • H. Maassen

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Details

Original languageEnglish
Pages (from-to)355-366
Number of pages12
JournalQuant. Inform. Comput.
Volume2
Issue number5
Publication statusPublished - 2002

Abstract

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.

Cite this

The quantum Monty Hall problem. / D'Ariano, G. M.; Gill, R. D.; Keyl, M. et al.
In: Quant. Inform. Comput., Vol. 2, No. 5, 2002, p. 355-366.

Research output: Contribution to journalArticleResearchpeer review

D'Ariano, GM, Gill, RD, Keyl, M, Werner, RF, Kümmerer, B & Maassen, H 2002, 'The quantum Monty Hall problem', Quant. Inform. Comput., vol. 2, no. 5, pp. 355-366.
D'Ariano, G. M., Gill, R. D., Keyl, M., Werner, R. F., Kümmerer, B., & Maassen, H. (2002). The quantum Monty Hall problem. Quant. Inform. Comput., 2(5), 355-366.
D'Ariano GM, Gill RD, Keyl M, Werner RF, Kümmerer B, Maassen H. The quantum Monty Hall problem. Quant. Inform. Comput. 2002;2(5):355-366.
D'Ariano, G. M. ; Gill, R. D. ; Keyl, M. et al. / The quantum Monty Hall problem. In: Quant. Inform. Comput. 2002 ; Vol. 2, No. 5. pp. 355-366.
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