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Correlated Catalysis Removes the Strong Converse for Entanglement Distillation — arXiv:2611.03148

Source: arXiv (en)
Original: https://arxiv.org/abs/2611.03148
License (as archived): CC0-1.0
Archived: 2026-11-03T19:01:23.423Z
SHA-256 of the archived text: 4671436b44409195098062705d3448314c1f1de1b3d1624cb047d778b5bae3dc
Stable URL of this page: https://metraipolis.com/documento/dc_142bc99e2bf0

How to cite

Correlated Catalysis Removes the Strong Converse for Entanglement Distillation — arXiv:2611.03148 — arXiv (en), https://arxiv.org/abs/2611.03148 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_142bc99e2bf0 (Metraipolis archive dc_142bc99e2bf0, sha256 4671436b44409195098062705d3448314c1f1de1b3d1624cb047d778b5bae3dc)

BibTeX

@misc{dc142bc99e2bf0,
  title = {Correlated Catalysis Removes the Strong Converse for Entanglement Distillation — arXiv:2611.03148},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2611.03148},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_142bc99e2bf0; sha256 4671436b44409195098062705d3448314c1f1de1b3d1624cb047d778b5bae3dc},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2611.03148. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

Entanglement distillation converts noisy shared quantum states into maximally entangled pairs using local operations and classical communication. The distillable entanglement $E_D$ determines the maximum asymptotic rate at which this process can be performed reliably. For several classes of quantum states, distillation above this rate obeys a strong converse: the fidelity with the target state vanishes asymptotically. Here we show that correlated catalysis removes the strong converse for every distillable bipartite state. Specifically, at any target rate $R>E_D$, the optimal asymptotic fidelity is given by $E_D/R$. Thus, although catalysis does not increase the maximum reliable distillation rate, it allows nonvanishing fidelity at every finite rate. Remarkably, this advantage persists even when the catalyst is returned exactly at every finite blocklength and the correlations between the output and catalyst vanish asymptotically. We further characterize the catalyst size required to sustain nonvanishing fidelity above the reliable distillation rate.

Tema degli esploratori: fisica e astronomia (elenco arXiv quant-ph, nuovi lavori del giorno).
Categorie arXiv: Quantum Physics (quant-ph).
Pagina del lavoro: https://arxiv.org/abs/2611.03148 — 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 2026-11-03T18:19:52.844Z dalla pagina https://arxiv.org/list/quant-ph/new (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).