38 citations · 57 across the 4 of their papers we have counts for
4 papers
Categories for the practising physicist
Bob Coecke, Eric Oliver Paquette
In this chapter we survey some particular topics in category theory in a somewhat unconventional manner. Our main focus will be on monoidal categories, mostly symmetric ones, for w…
Classical and quantum structuralism
Bob Coecke, Eric Oliver Paquette, Dusko Pavlovic
In recent work, symmetric dagger-monoidal (SDM) categories have emerged as a convenient categorical formalization of quantum mechanics. The objects represent physical systems, the…
Bases in diagrammatic quantum protocols
Bob Coecke, Eric Oliver Paquette, Simon Perdrix
This paper contains two new results: 1. We amend the notion of abstract basis in a dagger symmetric monoidal category, as well as its corresponding graphical representation, in ord…
POVMs and Naimark's theorem without sums
Bob Coecke, Eric Oliver Paquette
We provide a definition of POVM in terms of abstract tensor structure only. It is justified in two distinct manners. i. At this abstract level we are still able to prove Naimark's…