← Back to archive

Devices & Materials · WORKING SOURCE MANUSCRIPT

Four-Structure Certificates for Neutral-Atom Rydberg and Logical Gates

Bibliographic identity from the original PDF

Printed source title: Four-Structure Certificates for Neutral-Atom Rydberg and Logical Gates

Original byline: Mr.K · Archive author: Han Jae Jun

Manuscript year: 2026 · Not asserted as a peer-reviewed publication.

Public PDF on Google Drive ↗ · ZIP original ↗

Source abstract below is incomplete or absent. No author-written abstract is fabricated.

Manuscript abstract and public PDF integrity / 원고 원본

PDF source excerpt only; not an independently certified theorem or published journal abstract.

Excerpt under original “Abstract” heading

We develop model-explicit, reference-composable certificates for neutral-atom Rydberg entanglers and finite logical circuits using four connected mathematical structures: Gaussian temporal control and noise, periodic T 3 position covariances, a solid-torus cycle chart and Möbius sign bookkeeping realized by physical X toggles. Exact diagonal sign recoupling, Gaussian channel summation, finite syndrome circuits and multilevel Lindblad models supply an audit trail from microscopic effective Hamiltonians to logical-process errors. For an exactly specified seven-level-per-atom, 49-state source-moment-matched surrogate, rational interval verification establishes an exact conditional CZ root with accepted probability strictly between 0.994505624 and 0.994505630. Offline resource preparation and complete Bell teleportation transfer this model operation to unknown, reference-entangled input data. A sharp stopping-time minimax theorem treats adversarial false acceptance and history-correlated retries without assuming independence. We prove an additional complete- instrument hybrid inequality in which the error budget is weighted by the nominal probability of reaching each adaptive attempt, and give a herald-preserving Stinespring comparison that is invariant under unobservable environment-phase gauges. At 48 CZ gates and four offline attempts per gate, the retained ideal-surrogate failure bound is 4.37436213745 × 10−8 and the new stopping-weight coefficient is 48.2651860 . . ., replacing the naive 192 for a uniform per-attempt instrument error. These are conditional mathematical implications, not measured performance of a fabricated device. Unknown physical pair interactions, full species-level source-to-surrogate deviations, detector confusion, correlated apparatus memory and … [source excerpt; see complete PDF]

Original embedded PDF: 158 pages · 7277057 bytes
Original SHA-256: 106ee335cc2ee87b8e5dafee153e19d6b7e4787f1985be2f643c2c78ee4825c3
Public Google Drive copy: 7277057 bytes
Public copy SHA-256: 106ee335cc2ee87b8e5dafee153e19d6b7e4787f1985be2f643c2c78ee4825c3

IDENTICAL — direct public PDF and ZIP-embedded original match by SHA-256. Public Google Drive PDF ↗ · 37-PDF audit ↗

The associated original ZIP remains the authority for the source-PDF checksum. Physical predictions and complete proof chains are not verified here.

158 pages · Original ZIP and source PDF integrity recorded

Read Main PDF ↗Original ZIP ↗Search this PDF ↗

Source identification

Original ZIPNEUTRAL_ATOM_FOUR_TOOL_R22_FINAL_PDF_WITH_INTEGRATED_DEVICE_FIGURE_20261013.zip
Main PDFpdf/main/neutral-atom-four-tool-r22-final-pdf-with-integrated-device-figure-20261013.pdf
PDF pages158
PDF SHA-256106ee335cc2ee87b8e5dafee153e19d6b7e4787f1985be2f643c2c78ee4825c3
ZIP SHA-256a7b03c9a2674476a9c972d16e99ded4633a5e5cd33b28ce18e0d2d27e7ea8a77

Local verification ledger

Exact interfaceVerification scope
File identityZIP and main PDF SHA-256 recorded
Definition and lemma transitionsNot independently audited for all statements
Physics interfacePhysical standard-model translation is not inferred from a mathematical model alone
Simulation/experimentSource files do not certify laboratory or instrument performance
Peer-reviewed publicationNot assumed; DOI and publisher not verified

Verified PDF existence does not imply the complete mathematical theorem or its physical realizability is closed.

Citation

@unpublished{Han2026neutralatomfourtoolr22finalpdfwithintegrateddevicefigure20261013,
  author = {Han Jae Jun},
  title = {Four-Structure Certificates for Neutral-Atom Rydberg and Logical Gates},
  year = {2026},
  note = {Research source ZIP: NEUTRAL_ATOM_FOUR_TOOL_R22_FINAL_PDF_WITH_INTEGRATED_DEVICE_FIGURE_20261013.zip; independent theorem proof audit not certified},
  url = {https://han-jae-jun-research.vercel.app/research/neutral-atom-four-tool-r22-final-pdf-with-integrated-device-figure-20261013.html}
}

All 37 BibTeX citations

Source verification & version

Source identity and page references are recorded; complete scientific proof and experimental validation have not been independently certified.

Original source version: NEUTRAL_ATOM_FOUR_TOOL_R22_FINAL_PDF_WITH_INTEGRATED_DEVICE_FIGURE_20261013.zip

Main PDF SHA-256: 106ee335cc2ee87b8e5dafee153e19d6b7e4787f1985be2f643c2c78ee4825c3

Theorem locator ↗ · Version provenance ↗ · Original PDF ↗