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Generalized Householder transformations
arXiv
Authors: Karl Svozil
Year
2021
Paper ID
40109
Status
Preprint
Abstract Read
~2 min
Abstract Words
64
Citations
N/A
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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- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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- The Householder transformation, allowing a rewrite of probabilities into expectations of dichotomic observables, is generalized in terms of its spectral decomposition.
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