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

lmcs:719 - Logical Methods in Computer Science, November 19, 2012, Volume 8, Issue 4 - https://doi.org/10.2168/LMCS-8(4:14)2012
Environment and classical channels in categorical quantum mechanics

Authors: Bob Coecke ; Simon Perdrix

    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.


    Volume: Volume 8, Issue 4
    Published on: November 19, 2012
    Accepted on: June 25, 2015
    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
    Fundings :
      Source : OpenAIRE Research Graph
    • The Structure of Quantum Information and its Ramifications for IT; Funder: UK Research and Innovation; Code: EP/D072786/1

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    Source : ScholeXplorer References DOI 10.1016/0001-8708(91)90003-p
    • 10.1016/0001-8708(91)90003-p
    • 10.1016/0001-8708(91)90003-p
    The geometry of tensor calculus, I
    Joyal, André ; Street, Ross ;

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