Generalized Householder Transformations.

Entropy (Basel)

Institute for Theoretical Physics, TU Wien, Wiedner Hauptstrasse 8-10/136, 1040 Vienna, Austria.

Published: March 2022

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Article Abstract

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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http://www.ncbi.nlm.nih.gov/pmc/articles/PMC8947618PMC
http://dx.doi.org/10.3390/e24030429DOI Listing

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