Categorical quantum mechanics

TL;DR

This paper provides an updated overview of categorical quantum mechanics, a framework that uses category theory to understand quantum processes, highlighting recent progress since its inception.

Contribution

It offers a substantially revised version of the foundational work on categorical quantum mechanics and surveys recent advancements in the field.

Findings

Updated framework for categorical quantum mechanics

Summary of recent progress in the field

Clarification of the role of category theory in quantum logic

Abstract

This invited chapter in the Handbook of Quantum Logic and Quantum Structures consists of two parts: 1. A substantially updated version of quant-ph/0402130 by the same authors, which initiated the area of categorical quantum mechanics, but had not yet been published in full length; 2. An overview of the progress which has been made since then in this area.