Generalized Householder Transformations

Entropy

Karl Svozil¹ 

[1] Institute for Theoretical Physics, TU Wien, Wiedner Hauptstrasse 8-10/136, 1040 Vienna, Austria;

关键词: Householder transformation;    expectation value;    probability distribution;    affine transformation;   

DOI  :  10.3390/e24030429

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown