Quantum Cognitive Triad. Semantic geometry of context representation
This addresses the problem of quantitative subjectively-semantic modeling of behavior for researchers in cognitive science and quantum-inspired AI, though it appears incremental as it applies existing quantum theory to behavioral contexts.
The paper tackles the problem of representing behavioral contexts for dichotomic decisions by developing an algorithm that models contexts as quantum qubit states on a Bloch sphere, where the azimuthal coordinate serves as a one-dimensional semantic space. The result is a stable cognitive structure using triads of context representations that probabilistically model variative behavior, based on quantum theory concepts.
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.