Quantum and Concept Combination, Entangled Measurements and Prototype Theory

TL;DR

This paper explores how violations of the marginal probability law in entangled measurements relate to quantum cognition, showing such violations are not problematic in conceptual modeling unlike in physical quantum systems.

Contribution

It introduces a quantum framework for modeling concept combinations and their entangled measurements, clarifying their implications in cognitive science.

Findings

Violations of the marginal probability law in quantum cognition are not problematic.

Quantum models can effectively describe concept combinations and their entanglement.

The approach relates quantum measurements to notions of extension and intension in meaning theories.

Abstract

We analyze the meaning of the violation of the marginal probability law for situations of correlation measurements where entanglement is identified. We show that for quantum theory applied to the cognitive realm such a violation does not lead to the type of problems commonly believed to occur in situations of quantum theory applied to the physical realm. We briefly situate our quantum approach for modeling concepts and their combinations with respect to the notions of 'extension' and 'intension' in theories of meaning, and in existing concept theories.