Abstract: Quantum game theory is an interdisciplinary area combining quantum information and game theory. Theoretical studies demonstrate that quantum games surpass the maximal interest of classical ones, which can be applied to analyze and solve fundamental problems in various fields, such as quantum communication and quantum computing. Aiming at a Bayesian quantum game model with conflictive interests, this paper proposes a programmable photonic quantum chip structure, and completes the quantum game experiment with silicon based optical quantum chip for the first time. By dynamically generating and modulating entangled states on the chip, the experiment demonstrates the advantage of the quantum game over the classical one. This paper shows that photonic quantum chips play a vital role in the research of quantum game theory and provide a promising methodology to study more complicated problems in the field of quantum information.

Key words: quantum game, photonic quantum chip, quantum entanglement, quantum computing, Nash equilibrium