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A Categorical Quantum Logic

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.

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Publisher copy:
10.1017/S0960129506005275

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Journal:
Mathematical Structures in Computer Science More from this journal
Volume:
16
Issue:
3
Pages:
469-489
Publication date:
2006-01-01
DOI:


UUID:
uuid:702a4b24-0987-4e01-8135-78d52e9d9b68
Local pid:
cs:3313
Deposit date:
2015-03-31
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