观测者效应在量子认知框架下的分类调制
Observer effect modulates classification in a quantum epistemic framework
AI总结：
提出一种将观测者视为纠缠量子系统中感官信息处理组成部分的认知框架，通过模糊实例分类和正算子值测量（POVM）实现主观概率分类，并证明观测者效应源于量子特性与关联。
摘要：
量子物理学中的观测者效应指出，观测不可避免地影响被观测系统。本文引入一个认知框架，将观测者视为纠缠量子系统中感官信息处理的组成部分，导致主观和概率性的观测与推理。我们提出模糊实例分类，通过将感官输入编码以符合观测者先前的信念，在特征-属性-真值层次模型中作为量子振荡器的'铃'，其状态表示与量子概率相关的激活程度。我们证明，在该框架内，感官数据在决策前阶段通过与基于量子态的观测者相互作用而演化，如Lindblad主方程所述，然后使用正算子值测量（POVM）自适应分类。POVM实现了同时相似性和差异性的可定制参数化度量，促进了感知关联的主观性和非对称认知。此外，观测者在怀疑-相信谱上的位置决定了他们在模糊匹配中对噪声感知的鲁棒性，平衡了精确性和灵活性。我们表明，感官信息与观测者状态复杂地纠缠，产生广泛的概率分类结果。该框架为认知过程中观测者效应的量子概率理解奠定了基础，为主观解释提供了形式基础，将其视为观测者-系统相互作用中量子特性和关联的基本结果，而非观测缺陷。
英文摘要：
The observer effect in quantum physics states that observation inevitably influences the system being observed. This work introduces an epistemic framework that treats the observer as an integral part of sensory information processing within entangled quantum systems, leading to subjective and probabilistic observation and inference. We propose fuzzy instance classification by encoding sensory input to align with the observer's pre-existing beliefs in a feature-attribute-truth value hierarchical model as 'bells' of quantum oscillators whose states represent the degree of activation, associated with quantum probability. We demonstrate that within this framework, sensory data evolve via interaction with quantum-based observer states during the pre-decision phase, as described by the Lindblad master equation, and are then classified adaptively using positive operator-valued measures (POVM). The POVM enables the customisable parametrisation of measures of concurrent similarity and dissimilarity, facilitating subjectivity of perceptual associations and asymmetric cognition. Additionally, the observer's position on a sceptic-believer spectrum determines their robustness to noisy perceptions in ambiguous matching, balancing precision and flexibility. We show that sensory information becomes intricately entangled with observer states, yielding a wide array of probabilistic classification results. This framework lays the groundwork for a quantum probability-based understanding of the observer effect in cognitive processes, providing a formal basis for subjective interpretation not as a flaw in observation, but as a fundamental consequence of the observer-system interaction with quantum properties and correlations.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
