2 citations · 3 across the 12 of their papers we have counts for
3 papers · 1 filter
Characterizing (Co)Free Dagger Categories
Jean-Simon Pacaud Lemay
For any category, there exists both a free dagger category and a cofree dagger category over it. A natural question to ask is: given a dagger category, how can we tell if it is fre…
Override and Update in Restriction Categories
Jean-Simon Pacaud Lemay, Chad Nester
We study the override and update operators on partial functions from the perspective of restriction categories. We propose a definition of override restriction categories, in which…
Generalized Inverses of Quantum Channels: a categorical perspective
Robin Cockett, Jean-Simon Pacaud Lemay, Priyaa Varshinee Srinivasan
A quantum channel is defined as being completely positive (CP) and trace preserving (TP). While not every quantum channel is invertible or reversible, every quantum channel admits…