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The role of measurement in quantum games

Ahmad Nawaz and A H Toor

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The game of prisoner dilemma is analysed to study the role of measurement basis in quantum games. Four different types of payoffs for quantum games are identified on the basis of different combinations of initial state and measurement basis. A relation among these different payoffs is established.


PACS

02.50.Le Decision theory and game theory

03.65.Ta Foundations of quantum mechanics; measurement theory

03.65.Ud Entanglement and quantum nonlocality (e.g. EPR paradox, Bell's inequalities, GHZ states, etc.)

MSC

81R15 Operator algebra methods (See also 46Lxx, 81T05)

91A80 Applications of game theory

81P15 Quantum measurement theory

15A90 Applications of matrix theory to physics

Subjects

Computational physics

Quantum information and quantum mechanics

Dates

Issue 11 (17 March 2006)

Received 27 November 2005, in final form 27 January 2006

Published 1 March 2006



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