Article
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Generalized Householder Transformations
Version 1
: Received: 30 December 2021 / Approved: 31 December 2021 / Online: 31 December 2021 (11:11:50 CET)
A peer-reviewed article of this Preprint also exists.
Svozil, K. Generalized Householder Transformations. Entropy 2022, 24, 429. Svozil, K. Generalized Householder Transformations. Entropy 2022, 24, 429.
Abstract
The Householder transformation, allowing a rewrite of probabilities into expectations of dichotomic observables, is generalized in terms of its spectral decomposition. Dichotomy is modulated by allowing more than one negative eigenvalues, or by abandoning it altogether, yielding generalized operator valued arguments for contextuality. We also discuss a form of state-dependent contextuality by variation of the functional relations of the operators; in particular, by additivity.
Keywords
Householder transformations
Subject
Physical Sciences, Mathematical Physics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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