Iterative methods for computing U-eigenvalues of non-symmetric complex tensors with application in quantum entanglement (Q2307708)

The authors dicuss the problem of computing U-eigenvalues of non-symmetric complex tensors. They obtain the relationship between U-eigenpairs of a non-symmetric complex tensor and unitary symmetric US-eigenpairs of its symmetric embedding tensor by symmetric embedding of complex tensors. Two Algorithms is given to compute the U-eigenvalues of non-symmetric complex tensors. A tensor version of the well-known Gauss-Seidel method is developed. These algorithms are applied to compute the geometric measure of entanglement of quantum multipartite non-symmetric pure states.