Quantum Game Techniques Applied to Wireless Networks Communications


Game theory
Quantum Computation
Wireless Communications.

How to Cite

O.G. Zabaleta, & C.M. Arizmendi. (2014). Quantum Game Techniques Applied to Wireless Networks Communications. Journal of Advances in Applied &Amp; Computational Mathematics, 1(1), 3–7. https://doi.org/10.15377/2409-5761.2014.01.01.1


In order to analyze the power control problem, the wireless quantum network nodes are modeled as players at a quantum game. The power control problem is one of the most significant wireless communications challenges which characteristics make it proper to be modeled by means of game theory techniques. The problem results in non-cooperative game by nature, but, under quantum rules, a larger strategy space leads the players to choose a coalition strategy as the best option. Thus, the use of quantum game strategies makes possible the emergence of new equilibrium, which guarantees the best possible performance to the whole network. We show also that the whole network power consumption decreases when the intrinsic parallel behavior of quantum computation is capitalized. Moreover, the design of efficient medium access control algorithms is possible.


Arizmendi CM, Barrangu JP, Zabaleta OG. A 802.11 MAC protocol adaptation for quantum communications. In Distributed Simulation and Real Time Applications (DS-RT), 2012 IEEE/ACM 16th International Symposium on, Oct. 2012; pp. 147-150.

Zabaleta OG, Arizmendi CM. Quantum dating market. Physica A 2010; 389: 2858-2863. http://dx.doi.org/10.1016/j.physa.2010.03.010

Abbas MM, Mahmood H. Advances in QUANTUM MECHANICS, Chapter Name: Power Control in Ad Hoc Networks. Intech, China 2011.

Xiao Y, Shan X, Ren Y. Game theory models for IEEE 802.11 DCF in wireless ad hoc networks. Communications Magazine IEEE 2005; 43: 22-26. http://dx.doi.org/10.1109/MCOM.2005.1404594

Arizmendi CM. Paradoxical way for losers in a dating game. In Osvaldo A. Rosso Orazio Descalzi and Hilda A. Larrondo, editors, Proc. AIP Nonequilibrium Statistical Mechanics and Nonlinear Physics, Mar del Plata, Argentina, December 2006; pp. 20-25.

Meyer DA. Quantum strategies. Phys Rev Lett 1999; 82: 1052-1055. http://dx.doi.org/10.1103/PhysRevLett.82.1052

Romanelli A. Quantum games via search algorithms. Physica A 2007; 379: 545-551. http://dx.doi.org/10.1016/j.physa.2007.02.029

Schmidt AGM, Da Silva L. Quantum russian roulette. Physica A: Statistical Mechanics and its Applications 2013; 392(2): 400-410.

Arizmendi CM, Zabaleta OG. Stability of couples in a quantum dating market. Special IJAMAS issue: Statistical Chaos and Complexity 2012; 26: 143-149.

Laufer A, Leshem A. Distributed coordination of spectrum and the prisoner’s dilemma. In New Frontiers in Dynamic Spectrum Access Networks, 2005. DySPAN 2005. First IEEE International Symposium on, Nov. 2005; pp. 94-100.

Yu W, Rhee W, Boyd S, Ciofli, JM. Iterative water-filling for gaussian vector multiple access channels. In Information Theory, 2001. Proceedings. IEEE International Symposium on, pp. 322.

Yu W, Ginis G, Cioffi JM. Distributed multiuser power control for digital subscriber lines. IEEE Journal on Selected Areas in Communications 2002; 20(5): 1105-1115. http://dx.doi.org/10.1109/JSAC.2002.1007390

Axelrod R, Hamilton W. The evolution of cooperation. Science 1981; 211: 1390-1396. http://dx.doi.org/10.1126/science.7466396

Eisert J, Wilkens M, Lewenstein M. Quantum games and quantum strategies. Phys Rev Lett 1999; 83: 3077-3080. http://dx.doi.org/10.1103/PhysRevLett.83.3077

William Stallings. Wireless Communications and Networks. Pearson Prentice Hall, Upper Saddle River, NJ, 2nd. edition, 2002.

Du J, Xu X, Hui L, Zhou X, Han R. Playing prisoner’s dilemma with quantum rules. Fluctuation and Noise Letters, 2002; 2(4): 189-R203. http://dx.doi.org/10.1142/S0219477502000993