dorsal/arxiv
View SchemaThe Quantum Monty Hall Problem
| Authors | G. M. D'Ariano, R. D. Gill, M. Keyl, B. Kuemmerer, H. Maassen, R. F. Werner |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0202120 |
| URL | https://arxiv.org/abs/quant-ph/0202120 |
| Journal | Quant. Inf. Comput. 2, no. 5, 355-366 (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.
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"abstract": "We consider a quantum version of a well-known statistical decision problem,\nwhose solution is, at first sight, counter-intuitive to many. In the quantum\nversion a continuum of possible choices (rather than a finite set) has to be\nconsidered. It can be phrased as a two person game between a player P and a\nquiz master Q. Then P always has a strategy at least as good as in the\nclassical case, while Q\u0027s best strategy results in a game having the same value\nas the classical game. We investigate the consequences of Q storing his\ninformation in classical or quantum ways. It turns out that Q\u0027s optimal\nstrategy is to use a completely entangled quantum notepad, on which to encode\nhis prior information.",
"arxiv_id": "quant-ph/0202120",
"authors": [
"G. M. D\u0027Ariano",
"R. D. Gill",
"M. Keyl",
"B. Kuemmerer",
"H. Maassen",
"R. F. Werner"
],
"categories": [
"quant-ph"
],
"journal_ref": "Quant. Inf. Comput. 2, no. 5, 355-366 (2002)",
"title": "The Quantum Monty Hall Problem",
"url": "https://arxiv.org/abs/quant-ph/0202120"
},
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