Generalized Householder Transformations

The Householder transformation, allowing a rewrite of probabilities into expectations of dichotomic observables, is generalized in terms of its spectral decomposition. The dichotomy is modulated by allowing more than one negative eigenvalue or by abandoning binaries altogether, yielding generalized...

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Detalles Bibliográficos
Autor principal: Svozil, Karl
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8947618/
https://www.ncbi.nlm.nih.gov/pubmed/35327939
http://dx.doi.org/10.3390/e24030429
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author Svozil, Karl
author_facet Svozil, Karl
author_sort Svozil, Karl
collection PubMed
description The Householder transformation, allowing a rewrite of probabilities into expectations of dichotomic observables, is generalized in terms of its spectral decomposition. The dichotomy is modulated by allowing more than one negative eigenvalue or by abandoning binaries altogether, yielding generalized operator-valued arguments for contextuality. We also discuss a form of contextuality by the variation of the functional relations of the operators, in particular by additivity.
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spelling pubmed-89476182022-03-25 Generalized Householder Transformations Svozil, Karl Entropy (Basel) Article The Householder transformation, allowing a rewrite of probabilities into expectations of dichotomic observables, is generalized in terms of its spectral decomposition. The dichotomy is modulated by allowing more than one negative eigenvalue or by abandoning binaries altogether, yielding generalized operator-valued arguments for contextuality. We also discuss a form of contextuality by the variation of the functional relations of the operators, in particular by additivity. MDPI 2022-03-19 /pmc/articles/PMC8947618/ /pubmed/35327939 http://dx.doi.org/10.3390/e24030429 Text en © 2022 by the author. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Svozil, Karl
Generalized Householder Transformations
title Generalized Householder Transformations
title_full Generalized Householder Transformations
title_fullStr Generalized Householder Transformations
title_full_unstemmed Generalized Householder Transformations
title_short Generalized Householder Transformations
title_sort generalized householder transformations
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8947618/
https://www.ncbi.nlm.nih.gov/pubmed/35327939
http://dx.doi.org/10.3390/e24030429
work_keys_str_mv AT svozilkarl generalizedhouseholdertransformations

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