dorsal/arxiv
View SchemaConditional Quantum Walk and Iterated Quantum Games
| Authors | G. Abal, R. Donangelo, H. Fort |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0607143 |
| URL | https://arxiv.org/abs/quant-ph/0607143 |
| DOI | 10.1016/j.physa.2008.04.036 |
| Journal | Physica A, 387, pp 5326-5332, 2008. |
Abstract
Iterated bipartite quantum games are implemented in terms of the discrete-time quantum walk on the line. Our proposal allows for conditional strategies, as two rational agents make a choice from a restricted set of two-qubit unitary operations. Several frequently used classical strategies give rise to families of corresponding quantum strategies. A quantum version of the Prisoner's Dilemma in which both players use mixed strategies is presented as a specific example. Since there are now quantum walk physical implementations at a proof-of principle stage, this connection may represent a step towards the experimental realization of quantum games.
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"abstract": "Iterated bipartite quantum games are implemented in terms of the\ndiscrete-time quantum walk on the line. Our proposal allows for conditional\nstrategies, as two rational agents make a choice from a restricted set of\ntwo-qubit unitary operations. Several frequently used classical strategies give\nrise to families of corresponding quantum strategies. A quantum version of the\nPrisoner\u0027s Dilemma in which both players use mixed strategies is presented as a\nspecific example. Since there are now quantum walk physical implementations at\na proof-of principle stage, this connection may represent a step towards the\nexperimental realization of quantum games.",
"arxiv_id": "quant-ph/0607143",
"authors": [
"G. Abal",
"R. Donangelo",
"H. Fort"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/j.physa.2008.04.036",
"journal_ref": "Physica A, 387, pp 5326-5332, 2008.",
"title": "Conditional Quantum Walk and Iterated Quantum Games",
"url": "https://arxiv.org/abs/quant-ph/0607143"
},
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