基于非局域性的量子博弈研究

项目名称： 基于非局域性的量子博弈研究

项目编号： No.61502179

项目类型： 青年科学基金项目

立项/批准年度： 2016

项目学科： 计算机科学学科

项目作者： 司徒浩臻

作者单位： 华南农业大学

项目金额： 20万元

中文摘要： 经典博弈论在计算机、经济、生物等领域都有广泛的应用。量子博弈在经典博弈中引入量子信息处理资源，是量子信息理论的一个分支。本项目研究量子博弈，借助量子信息处理的力量去帮助博弈参与方得到更好的结果。本项目主要包括两个研究内容：（1）基于非局域性的量子非合作博弈。非局域性是量子力学最奇妙的性质之一，利用非局域性可以得到比经典方法更丰富的策略分布，从而提高博弈参与方的收益。本项目选择研究非合作博弈问题，这比合作博弈问题更具有现实意义。（2）噪声对量子博弈的影响。因为量子信息处理系统不可避免会受到外界噪声的影响，本项目进一步研究量子博弈的策略和收益随噪声的动态变化，以及噪声影响下量子博弈和量子关联的关系。本项目的研究，一方面可以让博弈参与方得到更好的结果，从而证明量子信息处理的优势，另一外面也有助于增强我们对量子信息理论的理解。

中文关键词： 量子信息；量子博弈；量子噪声

英文摘要： Classical game theory has wide application in computer science, economics, biology and other fields. Quantum game which is one of the branches of quantum information theory, introduces quantum information processing resources to classical game. This project studies quantum game and utilizes the power of quantum information processing to help players obtain better outcomes. This project has two parts: (1) Quantum non-cooperative games based on non-locality. Non-locality is one of the strangest properties of quantum mechanics. Using non-locality, more strategy distribution can be obtained than using classical methods, so that the players can get higher payoffs. This project studies non-cooperative games, which are more realistic than cooperative games. (2) The effect of noise to quantum games. Because quantum information processing systems are unavoidably affected by environment noise, this project also studies the dynamics of strategies and payoffs and the relation between quantum game and quantum correlation under the effect of noise. The research of this project not only provides better outcomes for players so that the advantage of quantum information processing is proved, but also helps us understand quantum information theory better.

英文关键词： quantum information;quantum game;quantum noise