Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

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

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