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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: UNSPECIFIED.

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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)
Creators:
CreatorsEmailORCID
Cuffaro, Michael E.mike@michaelcuffaro.com
Myrvold, Wayne C.wmyrvold@uwo.ca
Keywords: open quantum systems; quantum dynamics; dynamical maps; assignment maps; not completely positive maps
Subjects: Specific Sciences > Physics > Quantum Mechanics
Depositing User: Dr. Michael Cuffaro
Date Deposited: 18 Jun 2012 11:50
Last Modified: 10 Jan 2014 16:42
Item ID: 9169
URI: http://philsci-archive.pitt.edu/id/eprint/9169

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