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arxiv: quant-ph/0512114 · v1 · pith:YOROID2Mnew · submitted 2005-12-15 · 🪐 quant-ph · cs.LO

A Categorical Quantum Logic

classification 🪐 quant-ph cs.LO
keywords stronglybiproductscalculuscategoryclosedcompactlogicquantum
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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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    The pushout of entangled and parameterized quantum information in monoidal categories yields the external tensor product on flat K-theory bundles.