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Spectral Multipartite Entanglement
Vahid Azimi-Mousolou·June 30, 2026
Quantum Physics
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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.