A Categorical Quantum Logic
Abstract
We define a strongly normalising proofnet 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.
 Publication:

arXiv eprints
 Pub Date:
 December 2005
 DOI:
 10.48550/arXiv.quantph/0512114
 arXiv:
 arXiv:quantph/0512114
 Bibcode:
 2005quant.ph.12114A
 Keywords:

 Quantum Physics;
 Computer Science  Logic in Computer Science
 EPrint:
 23 pages, 15 figures