Preprint Article Version 2 Preserved in Portico This version is not peer-reviewed

Quantum Cognitive Triad: Semantic Geometry of Context Representation

Version 1 : Received: 22 February 2020 / Approved: 24 February 2020 / Online: 24 February 2020 (02:00:11 CET)
Version 2 : Received: 22 December 2020 / Approved: 22 December 2020 / Online: 22 December 2020 (11:58:16 CET)

A peer-reviewed article of this Preprint also exists.

Surov, I.A. Quantum Cognitive Triad: Semantic Geometry of Context Representation. Found Sci 26, 947–975 (2021). Surov, I.A. Quantum Cognitive Triad: Semantic Geometry of Context Representation. Found Sci 26, 947–975 (2021).


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.


Semantics and meaning; Context representation; Quantum cognition; Subjectivity; Quantum phase; Behavioral modeling; Qubit


Social Sciences, Cognitive Science

Comments (1)

Comment 1
Received: 22 December 2020
Commenter: Ilya Surov
Commenter's Conflict of Interests: Author
Comment: Representation algorithm is developed
Discussion is extended
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