Magmatic "Quantum-Like" Systems

TL;DR

This paper explores how magmas, a general algebraic structure, can be used to construct systems that exhibit quantum-like behavior, broadening the understanding of non-quantum systems with quantum properties.

Contribution

It introduces a novel algebraic framework using magmas to model quantum-like systems, extending beyond traditional quantum mechanics.

Findings

Magmatic composition generalizes tensor products.

The framework captures quantum-like behavior algebraically.

Potential applications in modeling non-quantum quantum-like systems.

Abstract

Quantum computation has suggested, among others, the consideration of "non-quantum" systems which in certain respects may behave "quantum-like". Here, what algebraically appears to be the most general possible known setup, namely, of {\it magmas} is used in order to construct "quantum-like" systems. The resulting magmatic composition of systems has as a well known particular case the tensor products.