Abstract
Using the finite Fourier transform, we introduce a generalization of Pauli-spin matrices for d-dimensional spaces, and the resulting set of unitary matrices is a basis for matrices. If and we give a sufficient condition for separability of a density matrix relative to the in terms of the norm of the spin coefficients of Since the spin representation depends on the form of the tensor product, the theory applies to both full and partial separability on a given space It follows from this result that for a prescribed form of separability, there is always a neighborhood of the normalized identity in which every density matrix is separable. We also show that for every prime p and the generalized Werner density matrix is fully separable if and only if
- Received 7 January 2000
DOI:https://doi.org/10.1103/PhysRevA.62.032313
©2000 American Physical Society