English

Quantum Cognitive Triad. Semantic geometry of context representation

Neurons and Cognition 2020-12-23 v2 Artificial Intelligence Quantum Physics

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.

Keywords

Cite

@article{arxiv.2002.11195,
  title  = {Quantum Cognitive Triad. Semantic geometry of context representation},
  author = {Ilya A. Surov},
  journal= {arXiv preprint arXiv:2002.11195},
  year   = {2020}
}

Comments

44 pages, 6 figures

R2 v1 2026-06-23T13:53:52.468Z