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Generalised Proof−Nets for Compact Categories with Biproducts

Abstract:

Just as conventional functional programs may be understood as proofs in an intuitionistic logic, so quantum processes can also be viewed as proofs in a suitable logic. We describe such a logic, the logic of compact closed categories and biproducts, presented both as a sequent calculus and as a system of proof-nets. This logic captures much of the necessary structure needed to represent quantum processes under classical control, while remaining agnostic to the fine details. We demonstrate how ...

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Publication date:
2009-01-01
URN:
uuid:c5dfdac6-47e0-4e57-b0f7-3cc25744d216
Local pid:
cs:3314

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