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dc.contributor.authorJaeger, Greggen_US
dc.date.accessioned2020-12-16T15:55:36Z
dc.date.available2020-12-16T15:55:36Z
dc.date.issued2020
dc.identifier.citationGregg Jaeger. 2020. "Quantum Contextuality and Indeterminacy." Entropy, Volume 22, Issue 8, pp. 867 - 867. https://doi.org/10.3390/e22080867
dc.identifier.issn1099-4300
dc.identifier.urihttps://hdl.handle.net/2144/41812
dc.description.abstractThe circumstances of measurement have more direct significance in quantum than in classical physics, where they can be neglected for well-performed measurements. In quantum mechanics, the dispositions of the measuring apparatus-plus-environment of the system measured for a property are a non-trivial part of its formalization as the quantum observable. A straightforward formalization of context, via equivalence classes of measurements corresponding to sets of sharp target observables, was recently given for sharp quantum observables. Here, we show that quantum contextuality, the dependence of measurement outcomes on circumstances external to the measured quantum system, can be manifested not only as the strict exclusivity of different measurements of sharp observables or valuations but via quantitative differences in the property statistics across simultaneous measurements of generalized quantum observables, by formalizing quantum context via coexistent generalized observables rather than only its subset of compatible sharp observables. Here, the question of whether such quantum contextuality follows from basic quantum principles is then addressed, and it is shown that the Principle of Indeterminacy is sufficient for at least one form of non-trivial contextuality. Contextuality is thus seen to be a natural feature of quantum mechanics rather than something arising only from the consideration of impossible measurements, abstract philosophical issues, hidden-variables theories, or other alternative, classical models of quantum behavior.en_US
dc.format.extentp. 867en_US
dc.languageen
dc.language.isoen_US
dc.publisherMDPI AGen_US
dc.relation.ispartofEntropy
dc.rightsCopyright 2020 by the authors. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/.en_US
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectContextualityen_US
dc.subjectUncertainty relationsen_US
dc.subjectIndeterminacy relationsen_US
dc.subjectUnsharp observableen_US
dc.subjectUnsharp realityen_US
dc.subjectLocalizationen_US
dc.subjectPOVMen_US
dc.subjectQuantum mechanicsen_US
dc.subjectCopenhagen interpretationen_US
dc.subjectMathematical sciencesen_US
dc.subjectPhysical sciencesen_US
dc.subjectFluids & plasmasen_US
dc.titleQuantum contextuality and indeterminacyen_US
dc.typeArticleen_US
dc.description.versionPublished versionen_US
dc.identifier.doi10.3390/e22080867
pubs.elements-sourcecrossrefen_US
pubs.notesEmbargo: Not knownen_US
pubs.organisational-groupBoston Universityen_US
pubs.organisational-groupBoston University, College of General Studiesen_US
pubs.publication-statusPublished onlineen_US
dc.date.online2020-08-07
dc.identifier.orcid0000-0002-5725-6491 (Jaeger, Gregg)
dc.identifier.mycv567384


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Copyright 2020 by the authors. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/.
Except where otherwise noted, this item's license is described as Copyright 2020 by the authors. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/.