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arXiv:quant-ph/0206178 · Journal of Mathematical Sciences

Can a Game be Quantum?

Andrey Anatoljevich Grib, G. N. Parfionov

Published Dec 4, 2004• 20 citations
arXivHTMLPDF
DOI
10.1023/b:joth.0000049569.80798.b0

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The Quantum game theory is an extension of the classical game theory which describes games in which players share quantum information during the game. The use of the quantum mechanical effects enables players’ better results than they would achieve in the classical game without sharing any information at all. In this paper I would like to describe a new two player cooperative game which is based on the well known CHSH game. A quantum strategy for a new game will be introduced and it will be compared to the classical strategy and CHSH game strategy.
The process of game in essence is a process of information communication, information forms the game subject and game strategy so as to achieve the key factors of efficient maximization in gaming. In the classic gaming, game information has been mainly generated through observation, interference, such as operating direct interaction with the object, while in the quantum gaming, acquisition of game information, in addition to directly interacting with game objects, depends on the quantum entanglement on a deeper level and preparation. Such preparation makes quantum game information go beyond the classic gaming. A thorough study on the underlying generation of microcosmic game information can help us further insight into the nature of quantum game, and can provide solution to the macro social problems with the instruction of epistemology and methodology.