Experimental demonstration of conflicting interest nonlocal games using superconducting qubits

Conflicting interest nonlocal games are special Bayesian games played by noncooperative players without communication. In recent years, some conflicting interest nonlocal games have been proposed where quantum advice can help players to obtain higher payoffs. In this work we perform an experiment of six conflicting interest nonlocal games using the IBM quantum computer made up of five superconducting qubits. The experimental results demonstrate quantum advantage in four of these games, whereas the other two games fail to showcase quantum advantage in the experiment.

[1]  Anirban Pathak,et al.  Experimental realization of nondestructive discrimination of Bell states using a five-qubit quantum computer , 2017 .

[2]  L. Ballentine,et al.  Quantum Theory: Concepts and Methods , 1994 .

[3]  Z. Gedik,et al.  Optimization and experimental realization of the quantum permutation algorithm , 2017, 1708.07900.

[4]  James R. Wootton.  Demonstrating non-Abelian braiding of surface code defects in a five qubit experiment , 2016, 1609.07774.

[5]  Lukasz Pawela.  Quantum games on evolving random networks , 2016 .

[6]  Jiangfeng Du,et al.  Experimental realization of quantum games on a quantum computer. , 2001, Physical Review Letters.

[7]  Ramón Alonso-Sanz,et al.  A quantum relativistic battle of the sexes cellular automaton , 2017 .

[8]  G. Paul,et al.  Strong quantum solutions in conflicting-interest Bayesian games , 2017, 1705.04639.

[9]  Zhiming Huang,et al.  Payoffs and coherence of a quantum two-player game under noisy environment , 2017 .

[10]  Jan Sładkowski,et al.  Quantum approach to Bertrand duopoly , 2016, Quantum Information Processing.

[11]  Zhen Wang,et al.  A quantum extension to inspection game , 2015, ArXiv.

[12]  Bikash K. Behera,et al.  Experimental realization of quantum cheque using a five-qubit quantum computer , 2017, Quantum Information Processing.

[13]  Noah Linden,et al.  Connection between Bell nonlocality and Bayesian game theory , 2012, Nature Communications.

[14]  Fang Yu,et al.  Quantum advice enhances social optimality in three-party conflicting interest games , 2015, Quantum Inf. Comput..

[15]  S. Balakrishnan.  Influence of initial conditions in $$2\times 2$$2×2 symmetric games , 2014, Quantum Inf. Process..

[16]  William J. Baumol,et al.  Welfare Economics And The Theory Of The State , 1953 .

[17]  Svetlichny,et al.  Distinguishing three-body from two-body nonseparability by a Bell-type inequality. , 1987, Physical review. D, Particles and fields.

[18]  Ming Zhang,et al.  Playing distributed two-party quantum games on quantum networks , 2017, Quantum Inf. Process..

[19]  J. Eisert,et al.  Quantum Games and Quantum Strategies , 1998, quant-ph/9806088.

[20]  Haozhen Situ.  Two-player conflicting interest Bayesian games and Bell nonlocality , 2016, Quantum Inf. Process..

[21]  Derek Abbott,et al.  Social optimality in quantum Bayesian games , 2014, 1412.6715.

[22]  E. Diamanti,et al.  Nonlocality and conflicting interest games. , 2014, Physical review letters.

[23]  Haozhen Situ.  A quantum approach to play asymmetric coordination games , 2014, Quantum Inf. Process..

[24]  Some Sankar Bhattacharya,et al.  Nonlocal correlations: Fair and unfair strategies in Bayesian games , 2016, 1601.02349.

[25]  Katarzyna Bolonek-Lason,et al.  Three-player conflicting interest games and nonlocality , 2016, Quantum Information Processing.

[26]  Lvzhou Li,et al.  Land bidding game with conflicting interest and its quantum solution , 2017 .

[27]  D. Meyer.  Quantum strategies , 1998, quant-ph/9804010.

[28]  Haozhen Situ,et al.  Quantum Bayesian game with symmetric and asymmetric information , 2015, Quantum Inf. Process..