A Relation Between the Chrestenson Operator, Weyl Operator Basis, and Kronecker-Pauli Operator Basis

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Auteurs principaux: Razanaparany, Mickaya A., Rakotonirina, Christian
Format: Preprint
Publié: 2026
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author Razanaparany, Mickaya A.
Rakotonirina, Christian
author_facet Razanaparany, Mickaya A.
Rakotonirina, Christian
contents Within the framework of quantum theory, we review the Chrestenson operator, the Weyl operator basis, and the Kronecker-Pauli operator basis in $d$-dimensional Hilbert spaces using Dirac notation, where $d$ is a prime integer strictly greater than 2. We establish a new algebraic relation connecting these operators and present the cases $d=3$ and $d=5$ as illustrative examples.
format Preprint
id arxiv_https___arxiv_org_abs_2602_19573
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle A Relation Between the Chrestenson Operator, Weyl Operator Basis, and Kronecker-Pauli Operator Basis
Razanaparany, Mickaya A.
Rakotonirina, Christian
Quantum Physics
Within the framework of quantum theory, we review the Chrestenson operator, the Weyl operator basis, and the Kronecker-Pauli operator basis in $d$-dimensional Hilbert spaces using Dirac notation, where $d$ is a prime integer strictly greater than 2. We establish a new algebraic relation connecting these operators and present the cases $d=3$ and $d=5$ as illustrative examples.
title A Relation Between the Chrestenson Operator, Weyl Operator Basis, and Kronecker-Pauli Operator Basis
topic Quantum Physics
url https://arxiv.org/abs/2602.19573