On the Effect of Quantum Noise in a Quantum-Relativistic Prisoner’s Dilemma Cellular Automaton
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The disrupting effect of quantum noise on the dynamics of a spatial quantum relativistic formulation of the iterated prisoner’s dilemma game with variable entangling is studied in this work. The game is played in the cellular automata manner, i.e., with local and synchronous interaction. The game is assessed in fair and unfair contests.
KeywordsQuantum games Noise Unruh effect Cellular automata
Part of the computations of this work were performed in EOLO, an HPC machine of the International Campus of Excellence of Moncloa, funded by the UCM and Feder Funds. RAS contribution has been funded by the Spanish Grant MTM2015-63914-P. H. Situ’s contribution has been funded by the National Natural Science Foundation of China (Grant No. 61502179), the Natural Science Foundation of Guangdong Province of China (Grant No. 2014A030310265), and the China Scholarship Council.
- 1.Alonso-Sanz, R., Carvalho, M., Situ, H.: A quantum relativistic prisoner’s dilemma cellular automaton. Int. J. Theoretical Physics, (in press) (2016)Google Scholar
- 7.Alonso-Sanz, R.: Dynamical Systems with Memory. World Scientific Pub. (2011)Google Scholar
- 15.Huang, Z.M., Alonso-Sanz, R., Situ, H.Z.: Quantum Samaritan’s game under decoherence. Int. J. Theor. Phys. (submitted) (2016)Google Scholar
- 16.Khan, S., Khan, M.K.: Noisy relativistic quantum games in noninertial frames 12(2), 1351–1363 (2013)Google Scholar
- 21.Omkar, S., Srikanth, R., Banerjee, S., Alok, A.K.: The Unruh effect interpreted as a quantum noise channel. Quantum Inf. Comput. 9–10, 0757–0770 (2016)Google Scholar
- 22.Owen, G.: Game Theory. Academic Press (1995)Google Scholar
- 23.Schiff, J.L.: Cellular automata: A discrete view of the world. Wiley (2008)Google Scholar
- 28.Situ, H.Z., Zhang, C., Yu, F.: Quantum advice enhances social optimality in three-party conflicting interest games. Quantum Inf. Comput. 16, 588–596 (2016)Google Scholar