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Quantum Algorithms for Molecular Response Functions: Resolvent Kernels, Time-Domain Sampling, Query Lower Bounds with Matched Single-Point Calibers, and a Six-Route… — arXiv:2611.06821

Source: arXiv (en)
Original: https://arxiv.org/abs/2611.06821
License (as archived): CC0-1.0
Archived: 2026-11-05T18:33:04.124Z
SHA-256 of the archived text: fedff615ae31e24b113e6bec366cb0461636df85047bb99587c8f14ed02c5095
Stable URL of this page: https://metraipolis.com/documento/dc_75ea93e7e751

How to cite

Quantum Algorithms for Molecular Response Functions: Resolvent Kernels, Time-Domain Sampling, Query Lower Bounds with Matched Single-Point Calibers, and a Six-Route… — arXiv:2611.06821 — arXiv (en), https://arxiv.org/abs/2611.06821 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_75ea93e7e751 (Metraipolis archive dc_75ea93e7e751, sha256 fedff615ae31e24b113e6bec366cb0461636df85047bb99587c8f14ed02c5095)

BibTeX

@misc{dc75ea93e7e751,
  title = {Quantum Algorithms for Molecular Response Functions: Resolvent Kernels, Time-Domain Sampling, Query Lower Bounds with Matched Single-Point Calibers, and a Six-Route… — arXiv:2611.06821},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2611.06821},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_75ea93e7e751; sha256 fedff615ae31e24b113e6bec366cb0461636df85047bb99587c8f14ed02c5095},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2611.06821. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

Quantum algorithms for molecular response functions have mostly been studied one route at a time, most prominently the indicator-binning algorithm of Kharazi et al. We compare six routes within one accounting framework and state the conversions between their resource calibers. On the resolvent route the Lorentz-broadened spectrum is exactly a resolvent expectation; at finite gamma two boundary terms, a reversal term and a permanent-dipole pseudo-line, enter a disjoint error budget. Because the kernel subnormalization is exactly 1, the published binning accounting carries a removable Theta(alpha+1+omega) factor (49.69x and 7.75x at the definitional caliber), a correction that applies to both routes. Estimating the square root of the kernel amplitude lowers the readout cost from beta^2/mu_tilde_2 to beta/sqrt(mu_tilde_2). On the time-domain route we prove a single-point amplitude-estimation theorem and convert the generalized QPE of Loaiza et al. to the same accounting. The lower bounds are Theta_tilde(1/gamma) for parameter location, Theta(1/(gamma epsilon)) for windowed values, Omega(n/gamma) inside a restricted correlation-sampling class, and Omega(1/(epsilon gamma^2)) on the Lorentzian object; in the single-circuit-resolution caliber, gamma^(-n) is a grid-coverage artifact. Six routes, their calibers, an n=2 assembly with a component-grade coherence, and a phase diagram over the tested ensembles form one accounting map.

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/2611.06821 — 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 2026-11-05T18:22:49.027Z dalla pagina https://arxiv.org/list/quant-ph/new (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).