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Geometry versus excitation sector in the decoherence of asymmetric $N$-qubit $W$ states — arXiv:2608.12965

Source: arXiv (en)
Original: https://arxiv.org/abs/2608.12965
License (as archived): CC0-1.0
Archived: 2026-10-19T05:05:04.104Z
SHA-256 of the archived text: bfb8d3da3fc2914b7ffc0f4a6ea05efae1fec81aece024d2dea11e59616eb0b6
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How to cite

Geometry versus excitation sector in the decoherence of asymmetric $N$-qubit $W$ states — arXiv:2608.12965 — arXiv (en), https://arxiv.org/abs/2608.12965 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_52001ef0cbb1 (Metraipolis archive dc_52001ef0cbb1, sha256 bfb8d3da3fc2914b7ffc0f4a6ea05efae1fec81aece024d2dea11e59616eb0b6)

BibTeX

@misc{dc52001ef0cbb1,
  title = {Geometry versus excitation sector in the decoherence of asymmetric $N$-qubit $W$ states — arXiv:2608.12965},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2608.12965},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_52001ef0cbb1; sha256 bfb8d3da3fc2914b7ffc0f4a6ea05efae1fec81aece024d2dea11e59616eb0b6},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2608.12965. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

We investigate how network geometry and excitation sector separately control pairwise entanglement decay in asymmetric multipartite $W$ states. To disentangle these effects, we introduce an analytically tractable $N$-qubit generalization of the asymmetric Lohmayer geometry and its complementary-excitation partner, yielding inequivalent vertex-base (VB) and base-base (BB) pair classes that can be compared directly with symmetric $W$-state references. We derive closed-form concurrence dynamics under representative one-sided noise models and find that, within either excitation sector, the VB concurrence has exactly the same noise dependence as the corresponding symmetric reference, preserving a noise-independent proportional advantage wherever both remain entangled. The amplitude-damping reordering previously identified for the three-qubit Lohmayer state is therefore a cross-sector effect rather than an intrinsic fragility of the VB geometry. In contrast, the BB pair exhibits a genuine same-sector structural fragility, with lower entanglement-sudden-death thresholds than the VB pair under depolarizing noise and, in the $(N-1)$-excitation sector, under amplitude damping. The results establish network geometry, excitation sector, and noise symmetry as distinct ingredients governing pairwise entanglement robustness in asymmetric quantum networks.

Tema degli esploratori: fisica e astronomia (retro-catalogo arXiv: annunci del 2026-08-14 in quant-ph).
Categorie arXiv: Quantum Physics (quant-ph).
Pagina del lavoro: https://arxiv.org/abs/2608.12965 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-19T04:54:42.505Z dalla pagina https://arxiv.org/catchup/quant-ph/2026-08-14?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).