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 2 n ‐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.
Christian Rakotonirina (2026) studied this question.