SHENZHEN,China, July 7, 2025 /PRNewswire/ -- MicroAlgo Inc. (the "Company" or "MicroAlgo") (NASDAQ: MLGO), today announced the development of a Grover-based quantum algorithm designed to find pure Nash equilibria in graphical games. This technology represents not only an important advancement in quantum algorithm research but also provides a fresh perspective on game theory and its applications. The Grover search algorithm is an efficient quantum search algorithm that can find a target element in an unstructured database with a time complexity of the square root of the number of elements. By employing amplitude amplification techniques, it enables the identification of a target item in an unsorted database with square-root complexity, making it significantly more efficient to find solutions in a quantum computing environment. The key to applying the Grover algorithm to find Nash equilibria in games lies in constructing an appropriate oracle operator.

MicroAlgo's algorithm achieves this by transforming the oracle in a given graphical game into a Boolean satisfiability problem. Specifically, we first define the participants, strategies, and payoffs in the game, and then represent them as Boolean variables and logical expressions. In this way, the game's state and the participants' strategies are encoded as quantum states.

The core of constructing the oracle lies in how to map the game's payoff structure into a quantum circuit. We have designed a method that effectively converts these Boolean expressions into quantum gate operations, enabling the logical synthesis of the oracle. This process ensures that the quantum circuit reflects the strategy choices and payoff feedback from the game during execution.

In the implementation process, MicroAlgo made adjustments to the Grover search algorithm to better suit the specific needs of graphical games. Traditional Grover algorithms may face efficiency bottlenecks when dealing with multi-objective or multi-dimensional problems. To address this, we adopted a stepwise iterative approach, gradually narrowing down the range of target states through multiple search rounds to improve search efficiency. In each iteration, the search strategy is adjusted based on the feedback from the oracle, maximizing the amplitude of the target state. This process not only enhances the success rate of finding pure Nash equilibria but also demonstrates greater flexibility and adaptability of the algorithm when handling complex games.

MicroAlgo conducted extensive experiments on random graphical game instances using a quantum simulator to validate the algorithm's effectiveness. By simulating different combinations of participants and strategies, the algorithm's performance was tracked in real-time, and data was collected to analyze its results. The experimental outcomes show that MicroAlgo's Grover-based quantum solution significantly improves the speed and accuracy of finding pure Nash equilibria, especially in complex gaming environments. Compared to traditional methods, this algorithm exhibits a higher success rate and shorter computation time across multiple iterations.

In today's rapidly advancing field of quantum computing, MicroAlgo's Grover-based quantum algorithm provides an innovative solution for finding pure Nash equilibria in graphical games. This breakthrough not only significantly enhances the algorithm's efficiency in complex games but also demonstrates the potential application of quantum technology in game theory research.

With further research and experimentation, it is expected that this technology will play a key role in practical business decision-making, market analysis, and multi-party game scenarios. By combining quantum computing with game theory, MicroAlgo is equipping decision-makers with more powerful tools to navigate increasingly complex competitive environments.

Looking ahead, MicroAlgo will continue to explore and expand the application boundaries of this technology, advancing the deployment and practice of quantum computing across multiple fields. Through close collaboration with academia and industry, it is believed that this technology will have a profound impact on driving scientific progress and fostering business innovation.

About MicroAlgo Inc.

MicroAlgo Inc. (the "MicroAlgo"), a Cayman Islands exempted company, is dedicated to the development and application of bespoke central processing algorithms. MicroAlgo provides comprehensive solutions to customers by integrating central processing algorithms with software or hardware, or both, thereby helping them to increase the number of customers, improve end-user satisfaction, achieve direct cost savings, reduce power consumption, and achieve technical goals. The range of MicroAlgo's services includes algorithm optimization, accelerating computing power without the need for hardware upgrades, lightweight data processing, and data intelligence services. MicroAlgo's ability to efficiently deliver software and hardware optimization to customers through bespoke central processing algorithms serves as a driving force for MicroAlgo's long-term development.

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