Department of Design, School of Design, Kyushu University, 4-9-1 Shiobaru, Minamiku, Fukuoka, 815-8540, Japan.
Department of Intermedia Art and Science, School of Fundamental Science and Technology, Waseda University, Ohkubo 3-4-1, Shinjuku-ku, Tokyo, 169-8555, Japan.
Biosystems. 2024 Dec;246:105339. doi: 10.1016/j.biosystems.2024.105339. Epub 2024 Sep 18.
Owing to recent advancements in brain science and AI, researchers tend to focus on the concept of self-organized criticality or the edge of chaos. On the other hand, quantum cognition, which is rooted in quantum mechanics, is promising for resolving various cognitive illusions. However, until recently, no connection between criticality and quantum mechanics was proposed. Gunji et al. (2024) recently introduced a linkage termed quantum logic automata, which encompasses not only quantum logic but also criticality characterized by power-law distributions. While quantum logic automata can be derived from various structures, only one of them has been proposed and discussed. Here, we define another type of quantum logic automata involving quantum logic and demonstrate that symmetric quantum logic automata lead to complex Class IV-like patterns and power-law distributions. Our findings support the association between criticality and quantum theory.
由于脑科学和人工智能的最新进展，研究人员倾向于关注自组织临界性或混沌边缘的概念。另一方面，基于量子力学的量子认知有望解决各种认知错觉。然而，直到最近，才有人提出临界性和量子力学之间的联系。Gunji 等人（2024 年）最近引入了一种称为量子逻辑自动机的联系，它不仅包含量子逻辑，还包含具有幂律分布的临界性。虽然量子逻辑自动机可以从各种结构中推导出来，但目前只提出并讨论了其中一种。在这里，我们定义了另一种涉及量子逻辑的量子逻辑自动机，并证明对称量子逻辑自动机导致复杂的类似 IV 类的模式和幂律分布。我们的研究结果支持了临界性和量子理论之间的联系。
