The Category TOF

We provide a complete set of identities for the symmetric monoidal category, TOF, generated by the Toffoli gate and computational ancillary bits. We do so by demonstrating that the functor which evaluates circuits on total points, is an equivalence into the full subcategory of sets and partial isomo...

Full description

Bibliographic Details
Main Authors: J.R.B. Cockett, Cole Comfort
Format: Article
Language:English
Published: Open Publishing Association 2019-01-01
Series:Electronic Proceedings in Theoretical Computer Science
Online Access:http://arxiv.org/pdf/1804.10360v4