MicroAlgo Inc. Announces the Development of Grover-based Quantum Algorithm Technology for Finding Pure Nash Equilibria in Graphical Games

Core Viewpoint - MicroAlgo Inc. has developed a Grover-based quantum algorithm aimed at finding pure Nash equilibria in graphical games, marking a significant advancement in quantum algorithm research and game theory applications [1][6]. Group 1: Algorithm Development - The Grover search algorithm is utilized for efficient searching in unstructured databases, achieving a time complexity of the square root of the number of elements [1]. - The algorithm transforms the oracle in graphical games into a Boolean satisfiability problem, encoding game states and strategies as quantum states [2]. - A method has been designed to convert Boolean expressions into quantum gate operations, ensuring the quantum circuit reflects strategy choices and payoff feedback [3]. Group 2: Implementation and Efficiency - Adjustments were made to the Grover algorithm to address efficiency bottlenecks in multi-objective or multi-dimensional problems, employing a stepwise iterative approach to improve search efficiency [4]. - The algorithm's iterative process maximizes the amplitude of the target state based on oracle feedback, enhancing the success rate of finding pure Nash equilibria [4]. Group 3: Experimental Validation - Extensive experiments on random graphical game instances using a quantum simulator demonstrated the algorithm's effectiveness, showing significant improvements in speed and accuracy compared to traditional methods [5]. - The algorithm exhibited a higher success rate and shorter computation time across multiple iterations in complex gaming environments [5]. Group 4: Future Implications - The Grover-based quantum algorithm is expected to play a key role in practical business decision-making, market analysis, and multi-party game scenarios, equipping decision-makers with advanced tools for complex competitive environments [7]. - MicroAlgo aims to expand the application boundaries of this technology through collaboration with academia and industry, potentially driving scientific progress and business innovation [8].