Quantifying multilevel coherence and multipartite correlation based on $\alpha$-affinity

Abstract:Unlike standard quantum coherence, multilevel quantum coherence provides a hierarchical structure that enables a more refined characterization of quantum superposition. In this paper, we investigate multilevel coherence and introduce two $\alpha$-affinity-based indicators to quantify it, both of which satisfy several desirable properties. We further define $\alpha$-affinity-based indicators for multipartite correlation and analyze their properties. Finally, we establish relationships between these multilevel coherence indicators and the multipartite correlation indicators.

arXiv:2509.16983 [quant-ph]

(or arXiv:2509.16983v2 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2509.16983 Focus to learn more arXiv-issued DOI via DataCite

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