dorsal/arxiv
View SchemaToward a general theory of quantum games
| Authors | Gus Gutoski, John Watrous |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0611234 |
| URL | https://arxiv.org/abs/quant-ph/0611234 |
| DOI | 10.1145/1250790.1250873 |
| Journal | Proceedings of STOC 2007, pages 565-574 |
Abstract
We study properties of quantum strategies, which are complete specifications of a given party's actions in any multiple-round interaction involving the exchange of quantum information with one or more other parties. In particular, we focus on a representation of quantum strategies that generalizes the Choi-Jamio{\l}kowski representation of quantum operations. This new representation associates with each strategy a positive semidefinite operator acting only on the tensor product of its input and output spaces. Various facts about such representations are established, and two applications are discussed: the first is a new and conceptually simple proof of Kitaev's lower bound for strong coin-flipping, and the second is a proof of the exact characterization QRG = EXP of the class of problems having quantum refereed games.
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"abstract": "We study properties of quantum strategies, which are complete specifications\nof a given party\u0027s actions in any multiple-round interaction involving the\nexchange of quantum information with one or more other parties. In particular,\nwe focus on a representation of quantum strategies that generalizes the\nChoi-Jamio{\\l}kowski representation of quantum operations. This new\nrepresentation associates with each strategy a positive semidefinite operator\nacting only on the tensor product of its input and output spaces. Various facts\nabout such representations are established, and two applications are discussed:\nthe first is a new and conceptually simple proof of Kitaev\u0027s lower bound for\nstrong coin-flipping, and the second is a proof of the exact characterization\nQRG = EXP of the class of problems having quantum refereed games.",
"arxiv_id": "quant-ph/0611234",
"authors": [
"Gus Gutoski",
"John Watrous"
],
"categories": [
"quant-ph",
"cs.CC",
"cs.GT"
],
"doi": "10.1145/1250790.1250873",
"journal_ref": "Proceedings of STOC 2007, pages 565-574",
"title": "Toward a general theory of quantum games",
"url": "https://arxiv.org/abs/quant-ph/0611234"
},
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