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Article Dans Une Revue Logical Methods in Computer Science Année : 2010

Environment and classical channels in categorical quantum mechanics

Résumé

We present a both simple and comprehensive graphical calculus for quantum computing. In particular, we axiomatize the notion of an environment, which together with the earlier introduced axiomatic notion of classical structure enables us to define classical channels, quantum measurements and classical control. If we moreover adjoin the earlier introduced axiomatic notion of complementarity, we obtain sufficient structural power for constructive representation and correctness derivation of typical quantum informatic protocols.

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Dates et versions

hal-00940885 , version 1 (03-02-2014)

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Bob Coecke, Simon Perdrix. Environment and classical channels in categorical quantum mechanics. Logical Methods in Computer Science, 2010, 8 (4), pp.230-244. ⟨10.2168/LMCS-8(4:14)2012⟩. ⟨hal-00940885⟩
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