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Four-Geometry Ion–Photon Quantum Links: Optical Control and Bell Processing

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Printed title: Four-Geometry Ion–Photon Quantum Links: Exact Optical Control, Fault-Certified Bell Processing and Physical Interface Specifications

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

Date: manuscript year 2026 · Version: working manuscript, not a peer-reviewed publication.

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We develop a mathematically explicit optical and ion-memory quantum-network architecture combining Gaussian phase inference, three independent phases on T 3, physical ring resonators, and a two-rail path permutation. The crossed two-rail transfer obeys DSD = (det D)S, with conditional restoration of relative amplitudes but no recovery of absorbed photons. We derive exact phase and optical coupling identities, including a loss-avoiding three-mode counterdiabatic trajectory requiring a physical direct rail interaction, and quantify the surviving endpoint-loss obligation. Arbitrary-finite-distance quantum-repeater constructions are obtained for explicitly stated noise and resource models, with no claim of finite-resource infinite- distance signalling. The encoded Bell layer combines a transversal [[5, 1, 3]] logical analyzer, flagged resource preparation and repeated noisy verification. A complete exact two-site fault census for the 20 analyzer locations contains 190 location pairs and 4,410 Pauli-label combinations and gives a leading accepted logical-error term (5408/45)r2 in its specified stochastic model. The remaining 36,125 location pairs of the 270-site full procedure are structurally indexed but not individually certified. We establish a distribution-free conditional loss ledger and explicit upper and lower bounds for the full procedure, with a hardware interface specification based on independent external measurements, institutional authentic component-photo references, and original optical/electrical functional schematics. No fabricated end-to-end apparatus, perfect physical efficiency, unconditional arbitrary-noise immunity, or composable measured secret-key rate is claimed.

Original source PDF: 131 pages · 3151903 bytes
ZIP-member PDF SHA-256: 13651e7eb555be53b42632e2a52f94c983b55052ef168a23db1f9b4e4b034b1e
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Original ZIPFOUR_GEOMETRY_QCOMM_PUBLICATION_FINAL_SLIM_20261013.zip
Main PDFpdf/main/four-geometry-qcomm-publication-final-slim-20261013.pdf
PDF pages131
PDF SHA-25613651e7eb555be53b42632e2a52f94c983b55052ef168a23db1f9b4e4b034b1e
ZIP SHA-25605df96d674da689b8d9e9a447cd77fff70e9aaaa0b22986e0063749a139ba2e1

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@unpublished{Han2026fourgeometryqcommpublicationfinalslim20261013,
  author = {Han Jae Jun},
  title = {Four-Geometry Ion–Photon Quantum Links: Optical Control and Bell Processing},
  year = {2026},
  note = {Research source ZIP: FOUR_GEOMETRY_QCOMM_PUBLICATION_FINAL_SLIM_20261013.zip; independent theorem proof audit not certified},
  url = {https://han-jae-jun-research.vercel.app/research/four-geometry-qcomm-publication-final-slim-20261013.html}
}

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Original version: FOUR_GEOMETRY_QCOMM_PUBLICATION_FINAL_SLIM_20261013.zip

Main PDF SHA-256: 13651e7eb555be53b42632e2a52f94c983b55052ef168a23db1f9b4e4b034b1e

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