Coecke, Bob and Perdrix, Simon - Environment and classical channels in categorical quantum mechanics

lmcs:719 - Logical Methods in Computer Science, November 19, 2012, Volume 8, Issue 4
Environment and classical channels in categorical quantum mechanics

Authors: Coecke, Bob and Perdrix, Simon

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.


Source : oai:arXiv.org:1004.1598
DOI : 10.2168/LMCS-8(4:14)2012
Volume: Volume 8, Issue 4
Published on: November 19, 2012
Submitted on: January 25, 2011
Keywords: Quantum Physics,Computer Science - Logic in Computer Science,Mathematical Physics,Mathematics - Category Theory,F.1.1, F.3.2


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