S-matrix interpretation in categorical quantum mechanics

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.

15 pages, minor changes

References in corpus (3)

• Scattering theory without large-distance asymptotics
• Algebraic theories in monoidal categories
• When is a bit worth much more than kT ln2?