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arXiv · 2512.12704

Entanglement, Coherence, and Recursive Linking in Dicke states : A Topological Perspective

Sougata Bhattacharyya·Sovik Roy
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Abstract

This work investigates the topological structure of multipartite entanglement in symmetric Dicke states $|D_n^{(k)}\rangle$. By viewing qubits as topological loops, we establish a direct correspondence between the recursive measurement dynamics of Dicke states and the stability of $n$-Hopf links. We utilize the Schmidt rank to quantify bipartite entanglement resilience and introduce the $l_1$-norm of quantum coherence as a measure of link fluidity. We demonstrate that unlike fragile states such as $ \left| GHZ \right \rangle$ (analogous to Borromean rings), Dicke states exhibit a robust, self-similar topology where local measurements preserve the global linking structure through non-vanishing residual coherence.

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Sougata Bhattacharyya, Sovik Roy. 2025-12-14. Entanglement, Coherence, and Recursive Linking in Dicke states : A Topological Perspective. https://doi.org/10.1007/s40509-026-00392-z

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