Constructing a Set of Kronecker–Pauli Matrices

Christian Rakotonirina

International Journal of Mathematics and Mathematical Sciences, 2026, vol. 2026, 1-14

Abstract: In quantum physics, the choice of basis is crucial for formulation. The generalization of the Pauli matrices via the Kronecker product, known as Pauli strings, is typically restricted to 2n-dimensional systems. This paper explores extending this generalization to n-dimensional systems, where n is an integer, n>2, to construct n×n-Kronecker–Pauli matrices. We establish a method for constructing a set of Kronecker–Pauli matrices for any dimension by examining the method for constructing the specific cases of 3×3 and 5×5 Kronecker–Pauli matrices. Another possible method for constructing a set of Kronecker–Pauli matrices, by using the Weyl operators, is discussed.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:8862482

DOI: 10.1155/ijmm/8862482

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