Zhang Qizi, Busemeyer Jerome
Department of Mechanical & Aerospace Engineering, Missouri University of Science and Technology, Rolla, MO 65409-0050, USA.
Department of Psychological and Brain Sciences, Indiana University-Bloomington, Bloomington, IN 47405, USA.
Entropy (Basel). 2021 May 16;23(5):622. doi: 10.3390/e23050622.
We propose a quantum walk model to investigate the propagation of ideas in a network and the formation of agreement in group decision making. In more detail, we consider two different graphs describing the connections of agents in the network: the line graph and the ring graph. Our main interest is to deduce the dynamics for such propagation, and to investigate the influence of compliance of the agents and graph structure on the decision time and the final decision. The methodology is based on the use of control- gates in quantum computing. The original state of the network is used as controller and its mirrored state is used as target. The state of the quantum walk is the tensor product of the original state and the mirror state. In this way, the proposed quantum walk model is able to describe asymmetric influence between agents.
我们提出一种量子行走模型，以研究思想在网络中的传播以及群体决策中共识的形成。更详细地说，我们考虑两种描述网络中主体连接的不同图：线图和环图。我们主要关注推导这种传播的动力学，并研究主体的依从性和图结构对决策时间和最终决策的影响。该方法基于量子计算中控制门的使用。网络的原始状态用作控制器，其镜像状态用作目标。量子行走的状态是原始状态和镜像状态的张量积。通过这种方式，所提出的量子行走模型能够描述主体之间的不对称影响。
