在量子测量理论的基础上,量子式的认知和决策
Miho Fuyama1, Andrei Khrennikov2, Masanao Ozawa3,4,5
1College of Letters, Ritsumeikan Daigaku, Kyoto, Kyoto Prefecture, Japan.
概括
认知中的量子式建模需要特殊的量子测量,超出投影测量范围. 这项研究探讨了尖的可重复的非投影性测量,揭示了认知建模至关重要的独特的非交换性类型.
科学领域:
- 量子测量理论 量子测量理论
- 认知科学 认知科学
- 决策模型 决策模型
背景情况:
- 投影测量是量子物理学中的标准,但未能模拟诸如问题顺序和响应可复制性等认知效应.
- 在认知中的量子式建模通常借用量子形式主义,而不完全探索测量理论.
研究的目的:
- 描述适用于量子类认知建模的量子测量.
- 引入和激励用于认知应用的可重复的非投影测量的使用.
- 在量子物理学和认知建模中区分非交换性的类型.
主要方法:
- 清晰可重复的非投射性测量的特征.
- 对状态更新地图及其非交替性的分析.
- 可观测的非交换性 (物理学) 和状态更新的非交换性 (认知) 的比较.
主要成果:
- 清晰可重复的非投影性测量对于建模特定的认知效应是必要的.
- 认知建模揭示了状态更新地图中非交换性的重要性,与操作员非交换性不同.
- 认知中的量子性质可能源于状态更新非交换性或两种类型.
结论:
- 这项研究强调了量子物理和认知科学在探索量子测量理论方面的差距.
- 清晰可重复的非投影性测量为量子式认知建模提供了新的途径.
- 区分可观测和状态更新非交换性是理解认知中量子类现象的关键.
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