Environment and classical channels in categorical quantum mechanics

Details Environment and classical channels in categorical quantum mechanics Environment and classical channels in categorical quantum mechanics

2010-04-09

arxiv.org/abs/1004.1598v3

B. Coecke and S. Perdrix (2010) Environment and classical channels in categorical quantum mechanicsIn: Proceedings of the 19th

Physics

Quantum Physics

26 pages, many pics; this third version has substantially more explanations than previous ones; Journal reference is of short

Scientific paper

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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