Spectral Multipartite Entanglement

Abstract

We introduce a unified, computable measure of multipartite entanglement based on the spectral properties of an entanglement graph and its associated entanglement matrix. This framework quantifies quantum correlations among arbitrary subsystems and partitions of a composite system. We prove that the resulting spectral entanglement measure satisfies the fundamental requirements of entanglement measures. Furthermore, we derive a generic multipartite monogamy relation that extends residual entanglement beyond qubit systems and introduces spectral residual entanglement for arbitrary multipartite states.

5 pages, 3 figures