视觉感知中量子启发的动力学产生的集体运动
Collective motion from quantum-inspired dynamics in visual perception
AI总结：
提出一种结合量子形式化感知决策过程的自驱动智能体集体行为模型，证明Vicsek模型为其特例，揭示了集体行为经典模式从感知中的自然涌现。
摘要：
我们提出一个自驱动主动智能体集体行为模型，该模型结合了感知决策过程。在此框架中，决策动力学使用量子形式化进行建模。每个智能体的感知决策态是视锥内相邻智能体决策态的纠缠或叠加态。我们建议在此框架中，驱动主动智能体移动的力由其感知算子的量子平均值控制，从而在感知决策过程与经典动力学之间提供桥梁。此外，我们引入了两个关于群体内聚力的感知度量，即感知强度和感知能量，以根据决策动力学来表征集体行为。我们的模型证明，通过适当选择感知决策态，著名的群体行为 Vicsek 模型可以作为这种量子启发方法的特例被推导出来。该方法为集体行为和多智能体协调提供了新见解，揭示了集体行为的经典模式如何从感知中自然涌现。
英文摘要：
We propose a model of collective behavior in self-propelled active agents that incorporates a perceptual decision-making process. In this framework, the decision-making dynamics is modeled using quantum formalism. The perceptual decision state of each agent is an entangled or superposed state of the decision states for the neighboring agents within the vision cone. We suggest that in this framework, the force driving the movement of active agents is governed by the quantum average of its perception operator, providing a bridge between perceptual decision-making processes and classical dynamics. Additionally, we introduce two perceptual measures of cohesion in the flock, namely, perception strength and perceptual energy, to characterize collective behavior in terms of decision-making dynamics. Our model demonstrates that, with an appropriate choice of perceptual decision state, the well-known Vicsek model of flocking behavior can be derived as a specific case of this quantum-inspired approach. This approach provides fresh insights into collective behavior and multi-agent coordination, revealing how classical patterns of collective behavior emerge naturally from perception.
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