A Categorical Quantum Logic

Details A Categorical Quantum Logic A Categorical Quantum Logic

2005-12-15

arxiv.org/abs/quant-ph/0512114v1

Physics

Quantum Physics

23 pages, 15 figures; presented at QPL 2004

Scientific paper

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.

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