4 papers
Unitary, Inner product, and Dagger categories
Robin Cockett, Durgesh Kumar, Priyaa Varshinee Srinivasan
This article provides an alternate characterization of dagger categories, which are central to the study of categorical quantum mechanics, in terms of inner product categories. An…
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…
A Compositional Account of Generalized Reversible Computing
Clémence Chanavat, Priyaa Varshinee Srinivasan
We develop a compositional framework for generalized reversible computing using copy-discard categories and resource theories. We introduce partitioned matrices between partitioned…
Dagger-Drazin Inverses
Robin Cockett, Jean-Simon Pacaud Lemay, Priyaa Varshinee Srinivasan
Drazin inverses are a special kind of generalized inverses that can be defined for endomorphisms in any category. A natural question to ask is whether one can somehow extend the no…