Title :
Quantum Game Simulator, Using the Circuit Model of Quantum
Author :
Panagiotis, Vlachos ; Karafyllidis, Ioannis
Author_Institution :
Dept. of Electr. & Comput. Eng., Democritus Univ. of Thrace, Xanthi, Greece
Abstract :
We present a general two-player quantum game simulator that can simulate any two-player quantum game described by a 2times2 payoff matrix (two strategy games).The user can determine the payoff matrices for both players, their strategies and the amount of entanglement between their initial strategies. The outputs of the simulator are the expected payoffs of each player as a function of the other player´s strategy parameters and the amount of entanglement. The simulator also produces contour plots that divide the strategy spaces of the game in regions in which players can get larger payoffs if they choose to use a quantum strategy against any classical one. We also apply the simulator to two well known quantum games, the Battle of Sexes and the Chicken game.
Keywords :
computer games; game theory; mathematics computing; matrix algebra; quantum computing; quantum entanglement; Battle of Sexes game; Chicken game; circuit model; payoff matrix; quantum game simulator; quantum strategy; two-player quantum game; Application software; Circuit simulation; Computational modeling; Computer simulation; Game theory; Informatics; Information processing; Military computing; Quantum computing; Quantum entanglement; Quantum computing; Quantum games; Simulation;
Conference_Titel :
Informatics, 2009. PCI '09. 13th Panhellenic Conference on
Conference_Location :
Corfu
Print_ISBN :
978-0-7695-3788-7
DOI :
10.1109/PCI.2009.46