Entanglement of Conceptual Entities in Quantum Model Theory (QMod)

TL;DR

This paper extends Quantum Model Theory (QMod) to identify and explain entangled states in non-microscopic systems without relying on linearity, providing new insights into quantum-like phenomena.

Contribution

It introduces a method within QMod for identifying entangled states and offers an intuitive explanation for their emergence without linear state spaces.

Findings

QMod can model entanglement without linearity.

A new method for entanglement identification is proposed.

Concrete examples demonstrate the method's effectiveness.

Abstract

We have recently elaborated 'Quantum Model Theory' (QMod) to model situations where the quantum effects of contextuality, interference, superposition, entanglement and emergence, appear without the entities giving rise to these situations having necessarily to be of microscopic nature. We have shown that QMod models without introducing linearity for the set of the states. In this paper we prove that QMod, although not using linearity for the state space, provides a method of identification for entangled states and an intuitive explanation for their occurrence. We illustrate this method for entanglement identification with concrete examples.