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Silicon-Nitride Quantum Photonic Integrated Circuit

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Source title: Gaussian–T³–Solid-Torus–Möbius Silicon-Nitride Quantum Photonic Circuit

Printed author name: Mr.K · Archive author: Han Jae Jun

Year: 2026 · Working manuscript, not a claim of peer-reviewed acceptance.

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Original abstract excerpt

We examine a dual-ring, single-bus silicon-nitride photon-pair architecture through a unified math- ematical and numerical analysis of Gaussian spectral filtering, three-torus phase control, solid-torus waveguide circulation, and Mobius-type synthetic mode exchange. Exact source-environment Gram identities, passive collection and spectral erasure bounds, full-vector finite-grid dispersion and exploratory outgoing radiation studies, Sylvester–Lyapunov reduction of two-mode continuous-frequency pair emis- sion, pulsed time-bin encoding, active/passive measurement operators, Schmidt-mode multipair bounds, and detector-corrected CHSH inequalities are developed under their explicit domains of validity. New distribution-free bounds include arbitrarily correlated phase and optical-amplitude fluctuations, an exact jointly measurable detector obstruction for arbitrary bipartite states, and tight correlated detector- availability limits. We prove a new heterogeneous-path theorem that replaces the identical-resonator and identical-observation assumptions with a computable semigroup-intertwining defect, giving explicit additional Bell infidelity for unequal loss, dispersion and coupling. We prove sharp gap-free Gaussian spectral and causal time-domain passivity certificates and extend their causal form to arbitrary normal- ized windows. An explicit Maxwell–Lorentz energy calculation supplies contraction for lossy dispersive dielectric matter without requiring a self-adjoint electromagnetic generator. An exact path-difference identity then cancels correlated common-mode photonic errors instead of separately summing them, and a full nonseparable bilinear SFWM kernel inequality transfers pump and constitutive uncertainties to pair amplitudes. We provide a new deterministic … [excerpt; full PDF linked below]

Original ZIP PDF: 253 pages · 16768869 bytes
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Original ZIPQPIC_GTSM_R37_CUMULATIVE_FINAL_20261014.zip
Main PDFpdf/main/qpic-gtsm-r37-cumulative-final-20261014.pdf
PDF pages253
PDF SHA-25644f87af8a0f9ed1cf391fb9b8a45dd1f677bcaa34ed287cce91c23d57620ed6f
ZIP SHA-256b8d96b96e28a296fd4599a3220a41c22edee9b5501d8e8b0155a1f0db18848c9

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Citation

@unpublished{Han2026qpicgtsmr37cumulativefinal20261014,
  author = {Han Jae Jun},
  title = {Silicon-Nitride Quantum Photonic Integrated Circuit},
  year = {2026},
  note = {Research source ZIP: QPIC_GTSM_R37_CUMULATIVE_FINAL_20261014.zip; independent theorem proof audit not certified},
  url = {https://han-jae-jun-research.vercel.app/research/qpic-gtsm-r37-cumulative-final-20261014.html}
}

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Original source version: QPIC_GTSM_R37_CUMULATIVE_FINAL_20261014.zip

Main PDF SHA-256: 44f87af8a0f9ed1cf391fb9b8a45dd1f677bcaa34ed287cce91c23d57620ed6f

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