S-matrix interpretation in categorical quantum mechanics

TL;DR

This paper explores the $S$-matrix interpretation within categorical quantum mechanics, framing it as a functorial semantics that simplifies understanding of phenomena like entanglement and state reduction without thermodynamic costs.

Contribution

It introduces a categorical framework for the $S$-matrix interpretation, providing a new, simplified, and thermodynamically efficient perspective on quantum phenomena.

Findings

$S$-matrix interpretation is a functorial semantics in categorical quantum mechanics

Simplifies depiction of state reduction and entanglement

No thermodynamic cost associated with the interpretation

Abstract

We study the $S$-matrix interpretation of quantum theory in light of Categotical Quantum Mechanics. The $S$-matrix interpretation of quantum theory is shown to be a functorial semantics relating the algebras of quantum theory to the effective $S$-matrix formalism. Consequently, issues such as state reduction and entanglement generation can be depicted in a simple manner. Moreover, this categorical $S$-matrix interpretation does not have the alleged thermodynamic cost.