量子认知三联体语境表征的语义几何学
Quantum Cognitive Triad. Semantic geometry of context representation
摘要：
本文描述了一个算法的语义表示的行为上下文相对于二分法的决策方案。上下文表示为二维希尔伯特空间中的量子比特态，可视化为布洛赫球上的点。这个球体的方位角坐标充当一维语义空间，其中根据上下文与所考虑的不确定性的主观相关性来容纳上下文。上下文处理的三元组由一个主题的知识定义的二元情境因素。所获得的三元组的上下文表示功能作为稳定的认知结构，同时允许一个主题的模型概率变化的行为。所开发的算法说明了一种基于量子理论的概念和数学装置的行为的定量主观语义建模方法。
英文摘要：
The paper describes an algorithm for semantic representation of behavioral contexts relative to a dichotomic decision alternative. The contexts are represented as quantum qubit states in two-dimensional Hilbert space visualized as points on the Bloch sphere. The azimuthal coordinate of this sphere functions as a one-dimensional semantic space in which the contexts are accommodated according to their subjective relevance to the considered uncertainty. The contexts are processed in triples defined by knowledge of a subject about a binary situational factor. The obtained triads of context representations function as stable cognitive structure at the same time allowing a subject to model probabilistically-variative behavior. The developed algorithm illustrates an approach for quantitative subjectively-semantic modeling of behavior based on conceptual and mathematical apparatus of quantum theory.
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