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An argument for strong positivity of the decoherence functional in the path integral approach to the foundations of quantum theory

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Title: An argument for strong positivity of the decoherence functional in the path integral approach to the foundations of quantum theory
Authors: Dowker, F
Wilkes, H
Item Type: Journal Article
Abstract: We give an argument for strong positivity of the decoherence functional as the correct, physical positivity condition in formulations of quantum theory based fundamentally on the path integral. We extend to infinite systems work by Boës and Navascués that shows that the set of strongly positive quantum systems is maximal among sets of systems that are closed under tensor product composition. We show further that the set of strongly positive quantum systems is the unique set that is maximal among the sets that are closed under tensor product composition. I. INTRODUCTION
Issue Date: Mar-2022
Date of Acceptance: 29-Nov-2021
URI: http://hdl.handle.net/10044/1/95931
DOI: 10.1116/5.0073587
ISSN: 2639-0213
Publisher: American Institute of Physics
Start Page: 012601
End Page: 012601
Journal / Book Title: AVS Quantum Science
Volume: 4
Issue: 1
Copyright Statement: © 2022 Author(s). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
Publication Status: Published
Online Publication Date: 2022-01-05
Appears in Collections:Physics
Theoretical Physics



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