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.
infojournal | 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 |
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DOI (10.1017/S0960129506005275)
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