Quantum Cognitive Triad. Semantic geometry of context representation

Abstract

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.

44 pages, 6 figures

References in corpus (5)

• Experimental Quantum State Tomography of Optical Fields and Ultrafast Statistical Sampling
• Economics need a scientific revolution
• Semantic information, autonomous agency, and nonequilibrium statistical physics
• True Contextuality Beats Direct Influences in Human Decision Making
• Quantum mechanics and data assimilation

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