English

Generalized Householder transformations

Quantum Physics 2022-03-22 v2

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.

Keywords

Cite

@article{arxiv.2112.15206,
  title  = {Generalized Householder transformations},
  author = {Karl Svozil},
  journal= {arXiv preprint arXiv:2112.15206},
  year   = {2022}
}

Comments

6 pages, 2 figures, final corrected and polished version

R2 v1 2026-06-24T08:36:12.521Z