Entanglement for the eigenvectors of a nonlinear eigenvalue problem given by the Kronecker product of the Pauli spin matrices is investigated. Fully and partially entangled eigenvectors are found.
In quantum physics, the choice of basis is crucial for formulation. The generalization of the Pauli matrices via Kronecker product, called Kronecker-Pauli matrices, is typically restricted to for 2n dimensional systems. This paper explores extending this generalization to N-dimensional systems, where N is a prime integer, in order to construct N×N-Kronecker-Pauli matrices. We begin by examining the specific cases of 3×3 and 5×5 Kronecker-Pauli matrices, with the goal of the purpose constructing a set of N×N-Kronecker-Pauli matrices for any prime integer N.
In quantum physics, the choice of basis is crucial for formulation. The generalization of the Pauli matrices via Kronecker product, called Kronecker-Pauli matrices, is typically restricted to for 2n dimensional systems. This paper explores extending this generalization to N-dimensional systems, where N is a prime integer, in order to construct N×N-Kronecker-Pauli matrices. We begin by examining the specific cases of 3×3 and 5×5 Kronecker-Pauli matrices, with the goal of the purpose constructing a set of N×N-Kronecker-Pauli matrices for any prime integer N.
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 a prime integer, to construct N×N-Kronecker-Pauli matrices. We begin by examining the specific cases of 3×3 and 5×5 Kronecker-Pauli matrices, with the goal of the purpose constructing a set of N×N-Kronecker-Pauli matrices for any prime integer N.