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Environment and classical channels in categorical quantum mechanics | | Bob Coecke
; Simon Perdrix
; | | Date: |
9 Apr 2010 | | Abstract: | We present a both simple and comprehensive graphical calculus for the pure
quantum data and mixed classical data fragment of quantum computing, in
particular including interaction of quantum and classical information flows.
First, within categorical quantum mechanics we axiomatize the concept of an
environment. This enables us to formalize classical channels and quantum
measurement and classical control. We study the interaction of these notions in
the case that the quantum measurements are complementary. We conclude that
these concepts provide sufficient structural power for constructive
representation and correctness derivation of typical quantum informatic
protocols. | | Source: | arXiv, 1004.1598 | | Services: | Forum | Review | PDF | Favorites | |
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