Entanglement, Coherence, and Recursive Linking in Dicke states : A Topological Perspective
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866914403853533184 |
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| author | Bhattacharyya, Sougata Roy, Sovik |
| author_facet | Bhattacharyya, Sougata Roy, Sovik |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_12704 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Entanglement, Coherence, and Recursive Linking in Dicke states : A Topological Perspective Bhattacharyya, Sougata Roy, Sovik Quantum Physics 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. |
| title | Entanglement, Coherence, and Recursive Linking in Dicke states : A Topological Perspective |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2512.12704 |