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Open Quantum Systems Decoherence

An Argument for Strong Positivity of the Decoherence Functional

arXiv
Authors: Fay Dowker, Henry Wilkes

Year

2020

Paper ID

19360

Status

Preprint

Abstract Read

~2 min

Abstract Words

88

Citations

N/A

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 Boes and Navascues that shows that the set of strongly positive quantum systems is maximal amongst 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 amongst sets that are closed under tensor product composition.

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  • 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...

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