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arXiv · 2606.31453

Spectral Multipartite Entanglement

Vahid Azimi-Mousolou
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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.

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Vahid Azimi-Mousolou. 2026-06-30. Spectral Multipartite Entanglement. https://arxiv.org/abs/2606.31453

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