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

• URL: http://arxiv.org/abs/2512.12704v1
• Date: Sun, 14 Dec 2025 14:15:40 GMT
• Title: Entanglement, Coherence, and Recursive Linking in Dicke states : A Topological Perspective
• Authors: Sougata Bhattacharyya, Sovik Roy,
• Abstract summary: This work investigates the topological structure of multipartite entanglement in symmetric Dicke states $|D_n(k)rangle$.<n>By viewing qubits as topological loops, we establish a direct correspondence between the measurement dynamics of Dicke states and the stability of $n$-Hopf links.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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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