Game theory problems are widely applied in many research areas such as computer science and finance,with the key issue being how to quickly make decisions.Here,we present a novel quantum algorithm for game theory prob...Game theory problems are widely applied in many research areas such as computer science and finance,with the key issue being how to quickly make decisions.Here,we present a novel quantum algorithm for game theory problems based on a continuous quantum walk.Our algorithm exhibits quantum advantage compared to classical game algorithms.Furthermore,we exploit the analogy between the wave function of the Schrodinger equation and the voltage in Kirchhoff's law to effectively translate the design of quantum game trees into classical circuit networks.We have theoretically simulated the quantum game trees and experimentally validated the quantum functionality speedup on classical circuit networks.Due to the robust scalability and stability inherent in classical circuit networks,quantum game trees implemented within this framework hold promise for addressing more intricate application scenarios.展开更多
基金supported by the National Key R&D Program of China under grant no.2022YFA1404900the National Natural Science Foundation of China(12234004 and 12374323).
文摘Game theory problems are widely applied in many research areas such as computer science and finance,with the key issue being how to quickly make decisions.Here,we present a novel quantum algorithm for game theory problems based on a continuous quantum walk.Our algorithm exhibits quantum advantage compared to classical game algorithms.Furthermore,we exploit the analogy between the wave function of the Schrodinger equation and the voltage in Kirchhoff's law to effectively translate the design of quantum game trees into classical circuit networks.We have theoretically simulated the quantum game trees and experimentally validated the quantum functionality speedup on classical circuit networks.Due to the robust scalability and stability inherent in classical circuit networks,quantum game trees implemented within this framework hold promise for addressing more intricate application scenarios.
