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Predictive Structure Behind Rare Outcomes in Random Quantum Circuits — arXiv:2609.17482

Source: arXiv (en)
Original: https://arxiv.org/abs/2609.17482
License (as archived): CC0-1.0
Archived: 2026-10-15T22:06:44.592Z
SHA-256 of the archived text: 2c5a9aea37f980bb707214eafa5eb2c1ba48fe123a4d1fffca06f448ac7e9775
Stable URL of this page: https://metraipolis.com/documento/dc_dfd2b8c47056

How to cite

Predictive Structure Behind Rare Outcomes in Random Quantum Circuits — arXiv:2609.17482 — arXiv (en), https://arxiv.org/abs/2609.17482 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_dfd2b8c47056 (Metraipolis archive dc_dfd2b8c47056, sha256 2c5a9aea37f980bb707214eafa5eb2c1ba48fe123a4d1fffca06f448ac7e9775)

BibTeX

@misc{dcdfd2b8c47056,
  title = {Predictive Structure Behind Rare Outcomes in Random Quantum Circuits — arXiv:2609.17482},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2609.17482},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_dfd2b8c47056; sha256 2c5a9aea37f980bb707214eafa5eb2c1ba48fe123a4d1fffca06f448ac7e9775},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2609.17482. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

Rare outputs of random quantum circuits are usually treated as terminal statistics. We ask whether they reveal intermediate organization that remains useful beyond the selecting future. Comparing unconditioned random-normal (RN) and peak-selected random-peaked (RP) circuits from the same local generator, we find stronger pairwise correlations and probability redistribution but reduced bipartite and output spreading in RP across n=8-16. Exact full-suffix decomposition reveals stronger peak-directed interference. The structural separation and fresh-future advantage persist across four nominal depths at n=8-14, with 2.01-7.15 fold RP enrichment in the depth extensions at fixed, independently calibrated thresholds. Within the unconditioned ensemble, a structural prefix score predicts fresh-event probability without using the evaluated circuits' terminal outcomes. Population-preserving phase scrambling identifies a functional contribution from relative-phase organization across the tested settings, including primary-depth held-out confirmation. RP trajectory-guided initialization improves high-peak yield over Haar initialization under common local refinement. Intermediate multivariate guidance also improves the fresh-continuation susceptibility of constructed states beyond peak-only guidance across the same size-depth grid. Rare outputs thus reveal intermediate physical organization that remains useful under new dynamics and can guide circuit construction.

Tema degli esploratori: fisica e astronomia (retro-catalogo arXiv: annunci del 2026-09-16 in quant-ph).
Categorie arXiv: Quantum Physics (quant-ph).
Pagina del lavoro: https://arxiv.org/abs/2609.17482 — 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 2026-10-15T21:52:12.843Z dalla pagina https://arxiv.org/catchup/quant-ph/2026-09-16?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).