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Non-local Magic: closed-form solution and equivalence with magic of purification — arXiv:2609.04119

Source

arXiv (en)

Original

https://arxiv.org/abs/2609.04119

License (as archived)

CC0-1.0

Archived

2026-10-17T03:03:37.033Z

SHA-256 of the archived text

48767bd515c8a01ca89250552f3fa19eceebd4e99cabf92d39d273c6b9d3a535

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https://metraipolis.com/documento/dc_ff039cc79f17

How to cite

Non-local Magic: closed-form solution and equivalence with magic of purification — arXiv:2609.04119 — arXiv (en), https://arxiv.org/abs/2609.04119 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_ff039cc79f17 (Metraipolis archive dc_ff039cc79f17, sha256 48767bd515c8a01ca89250552f3fa19eceebd4e99cabf92d39d273c6b9d3a535)

@misc{dcff039cc79f17,
  title = {Non-local Magic: closed-form solution and equivalence with magic of purification — arXiv:2609.04119},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2609.04119},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_ff039cc79f17; sha256 48767bd515c8a01ca89250552f3fa19eceebd4e99cabf92d39d273c6b9d3a535},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2609.04119. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

Non-local magic quantifies the non-stabilizerness of a bipartite quantum state that cannot be removed by local unitary transformations. Despite its natural definition, its evaluation generally requires a difficult optimization over local unitaries. Here, we show that for the log-stabilizer fidelity this optimization admits an exact closed-form analytic solution depending only on the Schmidt spectrum. We then introduce the magic of purification, defined as the minimum pure-state magic over all purifications of a mixed state, and show that it naturally induces a resource theory whose free states are normalized stabilizer-code projectors. For the log-stabilizer fidelity, the magic of purification admits a distance-based formulation in terms of the Uhlmann fidelity. Remarkably, we prove that non-local magic coincides with the minimum magic of purification along the unitary orbit of the reduced density operator. Our results provide both an efficient analytical characterization and a mixed-state resource-theoretic interpretation of non-local magic.

Tema degli esploratori: fisica e astronomia (retro-catalogo arXiv: annunci del 2026-09-04 in quant-ph).
Categorie arXiv: Quantum Physics (quant-ph).
Pagina del lavoro: https://arxiv.org/abs/2609.04119 — 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 2026-10-17T02:49:19.525Z dalla pagina https://arxiv.org/catchup/quant-ph/2026-09-04?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).