A Categorical Quantum Logic
Samson Abramsky and Ross Duncan
Abstract
We define a strongly normalising proof-net calculus corresponding to the logic of strongly compact closed categories with biproducts. The calculus is a full and faithful representation of the free strongly compact closed category with biproducts on a given category with an involution. This syntax can be used to represent and reason about quantum processes.
Journal
Mathematical Structures in Computer Science
Note
Preprint available at http://arxiv.org/abs/quant−ph/0512114
Number
3
Pages
469−489
Volume
16
Year
2006