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        <identifier>oai:figshare.com:article/34046844</identifier>
        <datestamp>2026-10-01T16:01:02Z</datestamp>
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          <dc:title>Multi-Parameter Error Mitigation in Parametric Down-Conversion via SU(1, 1) Composite Segmentation</dc:title>
          <dc:creator>Nastaran Ragerdi Kashani (25157340)</dc:creator>
          <dc:creator>Rouhollah Karimzadeh (6881522)</dc:creator>
          <dc:subject>Physics (arXiv)</dc:subject>
          <dc:subject>physics.optics (arXiv)</dc:subject>
          <dc:subject>quant-ph (arXiv)</dc:subject>
          <dc:description>Spontaneous parametric down-conversion is a primary resource for generating non-classical light, yet phase mismatch fluctuations from temperature drift, angular misalignment, and domain fabrication errors reduce pair-generation efficiency and phase stability. Here, we analyze error mitigation in spontaneous parametric down-conversion using composite segmentation governed by SU(1, 1) spatial dynamics. We show that odd spatial Fourier harmonics preserve error-cancellation flatness with pair-generation rates scaling asymptotically as $m^{-2}$, while a coordinate-dilation symmetry provides a design prescription for translating configurations across distinct operating wavelengths (405, 532, and 775 nm). Furthermore, an open-loop thermo-optic bias counteracts off-axis angular drift to broaden the 90%-efficiency angular acceptance half-width by 3.46x, and up to two missing poling domains are tolerated with no numerically resolved loss in relative conversion efficiency. Across a 5$^\circ$C thermal window, the generated pairs sustain a relative conversion efficiency of $η\ge 0.954$ with the modeled phase-coherence metric remaining above 0.95, providing a structurally robust approach for entangled photon generation without requiring continuous closed-loop feedback stabilization.</dc:description>
          <dc:date>2026-09-29T00:00:00Z</dc:date>
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          <dc:type>Preprint</dc:type>
          <dc:identifier>10.48550/arXiv.2609.37514</dc:identifier>
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