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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Quantum refereed game ： ウィキペディア英語版 Quantum refereed game Quantum refereed game in quantum information processing is a class of games in the general theory of quantum games. It is played between two players, Alice and Bob, and arbitrated by a referee. The referee outputs the pay-off for the players after interacting with them for a fixed number of rounds, while exchanging quantum information. == Definition == An $n$-turn quantum referee performs $n$ rounds of interaction with the player Alice and Bob. Each interaction involves receiving some quantum states from Alice and Bob, processing the quantum states together with the "left-over" state from the previous interaction, producing some output state, and sending part of the output state to the players. At the end of the $n$ rounds, the referee processes the final state received from the players and decides the pay-off for Alice and Bob. Mathematically, an n-turn referee is a measuring co-strategy $\backslash$ whose input spaces $\backslash mathcal\; X\_1,\backslash cdots,\; \backslash mathcal\; X\_n$ and output spaces $\backslash mathcal\; Y\_1,\backslash cdots,\; \backslash mathcal\; Y\_n$ are of the form :$\backslash mathcal\; X\_k\; =\; \backslash mathcal\; A\_k\backslash otimes\; \backslash mathcal\; B\_k$ and $\backslash mathcal\; Y\_k\; =\; \backslash mathcal\; C\_k\backslash otimes\backslash mathcal\; D\_k$ for complex Euclidean spaces $\backslash mathcal\; A\_k,\backslash mathcal\; B\_k,\backslash mathcal\; C\_k$ and $\backslash mathcal\; D\_k,\backslash \; 1\backslash leq\; k\backslash leq\; n$. $\backslash mathcal\; A\_k,\backslash mathcal\; B\_k$ represent the message sent by the referee to Alice and Bob during turn $k$, and $\backslash mathcal\; C\_k,\backslash mathcal\; D\_k$ correspond to their responses. At the end of $n$ turns, the referee produces an output $a\backslash in\backslash Sigma$ An $n$-turn quantum refereed game consists of an n-turn referee along with functions $V\_A,\; V\_B:\backslash Sigma\backslash mapsto\backslash mathbb\; R$ that maps each measurement output $a$ to Alice's and Bob's pay-off. Individual quantum refereed games may place specific restrictions on strategies Alice and Bob can choose from. For example, in nonlocal games and pseudo-telepathy games, Alice and Bob are allowed to share entanglement but are forbidden from communicating. In general, such restrictions may not apply in quantum refereed games. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Quantum refereed game」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.