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When Symmetry Suppresses Magic — arXiv:2609.38319

Source: arXiv (en)
Original: https://arxiv.org/abs/2609.38319
License (as archived): CC0-1.0
Archived: 2026-10-07T15:20:47.151Z
SHA-256 of the archived text: 78fc2220ce2762139059805e1f3d680e5f9530bd8ad52414150c160fb3fa6225
Stable URL of this page: https://metraipolis.com/documento/dc_26ea877eccb2

How to cite

When Symmetry Suppresses Magic — arXiv:2609.38319 — arXiv (en), https://arxiv.org/abs/2609.38319 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_26ea877eccb2 (Metraipolis archive dc_26ea877eccb2, sha256 78fc2220ce2762139059805e1f3d680e5f9530bd8ad52414150c160fb3fa6225)

BibTeX

@misc{dc26ea877eccb2,
  title = {When Symmetry Suppresses Magic — arXiv:2609.38319},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2609.38319},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_26ea877eccb2; sha256 78fc2220ce2762139059805e1f3d680e5f9530bd8ad52414150c160fb3fa6225},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2609.38319. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

Nonstabilizerness is a critical resource for quantum advantage, but evaluating it, especially for mixed states, requires superexponentially many samples in system size, making the problem NP-hard. While symmetries are known to reduce this complexity, it is unclear whether they also restrict the amount of magic. In this work, we provide an explicit example of such a symmetry by proving that the Robustness of Magic (RoM) for N-qubit X-states is at most $\sqrt{3}$. Leveraging this symmetry constraint, we introduce a computationally efficient method to lower-bound the RoM of arbitrary many-body states, demonstrating its utility on the ground states of a spin-1/2 Hamiltonian with system sizes well beyond the reach of exact evaluation. Furthermore, for Hamiltonians whose equilibrium states are X-states, we analytically derive the critical temperature at which magic emerges. Our work shows why certain symmetries constrain magic while others do not, provides a scalable lower-bounding method, and identifies a nontrivial regime where many-body nonstabilizerness is analytically solvable.

Tema degli esploratori: fisica e astronomia (retro-catalogo arXiv: annunci del 2026-10-01 in quant-ph).
Categorie arXiv: Quantum Physics (quant-ph).
Pagina del lavoro: https://arxiv.org/abs/2609.38319 — 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 2026-10-07T14:53:56.594Z dalla pagina https://arxiv.org/catchup/quant-ph/2026-10-01?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).