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On the Debate Concerning the Proper Characterisation of Quantum Dynamical Evolution

Cuffaro, Michael E. and Myrvold, Wayne C. (2012) On the Debate Concerning the Proper Characterisation of Quantum Dynamical Evolution. In: [2012] Philosophy of Science Assoc. 23rd Biennial Mtg (San Diego, CA) > PSA 2012 Contributed Papers.

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    Abstract

    There has been a long-standing and sometimes passionate debate between physicists over whether a dynamical framework for quantum systems should incorporate not completely positive (NCP) maps in addition to completely positive (CP) maps. Despite the reasonableness of the arguments for complete positivity, we argue that NCP maps should be allowed, with a qualification: these should be understood, not as reflecting 'not completely positive' evolution, but as linear extensions, to a system's entire state space, of CP maps that are only partially defined. Beyond the domain of definition of a partial-CP map, we argue, much may be permitted.


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    Item Type: Conference or Workshop Item (UNSPECIFIED)
    Keywords: open quantum systems; quantum dynamics; dynamical maps; assignment maps; not completely positive maps
    Subjects: Specific Sciences > Physics > Quantum Mechanics
    Conferences and Volumes: [2012] Philosophy of Science Assoc. 23rd Biennial Mtg (San Diego, CA) > PSA 2012 Contributed Papers
    Depositing User: Dr. Michael Cuffaro
    Date Deposited: 18 Jun 2012 07:50
    Last Modified: 10 Jan 2014 11:42
    Item ID: 9169
    URI: http://philsci-archive.pitt.edu/id/eprint/9169

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