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Against the Tyranny of 'Pure States' in Quantum Theory

de Ronde, Christian and Massri, Cesar (2019) Against the Tyranny of 'Pure States' in Quantum Theory. Foundations of Science. ISSN 1233-1821

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Abstract

We argue that the notion of pure sate within Standard Quantum Mechanics is presently applied within the specialized literature in relation to two mutually inconsistent definitions. While the first (operational purity) provides a basis-dependent definition which makes reference to the certain prediction of measurement outcomes, the latter (trace-invariant purity) provides a purely abstract invariant definition which lacks operational content. In this work we derive a theorem which exposes the serious inconsistencies existent within these two incompatible definitions of purity.


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Item Type: Published Article or Volume
Creators:
CreatorsEmailORCID
de Ronde, Christiancderonde@gmail.com
Massri, Cesar
Additional Information: Published version.
Keywords: pure state, mixture, quantum mechanics, category theory, graphs.
Subjects: Specific Sciences > Physics > Quantum Mechanics
Depositing User: Christian de Ronde
Date Deposited: 22 Mar 2021 02:20
Last Modified: 22 Mar 2021 02:20
Item ID: 18834
Journal or Publication Title: Foundations of Science
Publisher: Springer
Subjects: Specific Sciences > Physics > Quantum Mechanics
Date: 5 February 2019
ISSN: 1233-1821
URI: http://philsci-archive.pitt.edu/id/eprint/18834

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