dorsal/arxiv
View SchemaQuantum version of the Monty Hall problem
| Authors | Adrian P. Flitney, Derek Abbott |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0109035 |
| URL | https://arxiv.org/abs/quant-ph/0109035 |
| DOI | 10.1103/PhysRevA.65.062318 |
| Journal | Phys. Rev. A 65, 062318 (2002) |
Abstract
A version of the Monty Hall problem is presented where the players are permitted to select quantum strategies. If the initial state involves no entanglement the Nash equilibrium in the quantum game offers the players nothing more than can be obtained with a classical mixed strategy. However, if the initial state involves entanglement of the qubits of the two players, it is advantageous for one player to have access to a quantum strategy while the other does not. Where both players have access to quantum strategies there is no Nash equilibrium in pure strategies, however, there is a Nash equilibrium in quantum mixed strategies that gives the same average payoff as the classical game.
{
"annotation_id": "be72351c-aec5-4ffd-8912-1a92afa948c1",
"date_created": "2026-03-02T18:01:45.891000Z",
"date_modified": "2026-03-02T18:01:45.891000Z",
"file_hash": "61f1953473eba37b3253e171a1bbb98ff70dc5492bf1ae97d18bbca721129532",
"private": false,
"record": {
"abstract": "A version of the Monty Hall problem is presented where the players are\npermitted to select quantum strategies. If the initial state involves no\nentanglement the Nash equilibrium in the quantum game offers the players\nnothing more than can be obtained with a classical mixed strategy. However, if\nthe initial state involves entanglement of the qubits of the two players, it is\nadvantageous for one player to have access to a quantum strategy while the\nother does not. Where both players have access to quantum strategies there is\nno Nash equilibrium in pure strategies, however, there is a Nash equilibrium in\nquantum mixed strategies that gives the same average payoff as the classical\ngame.",
"arxiv_id": "quant-ph/0109035",
"authors": [
"Adrian P. Flitney",
"Derek Abbott"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.65.062318",
"journal_ref": "Phys. Rev. A 65, 062318 (2002)",
"title": "Quantum version of the Monty Hall problem",
"url": "https://arxiv.org/abs/quant-ph/0109035"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "c34586d4-6aa9-4bdf-9eba-b2dac3c38b6f",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}