Multi-Parameter Error Mitigation in Parametric Down-Conversion via SU(1, 1) Composite Segmentation
Abstract
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∘C thermal window, the generated pairs sustain a relative conversion efficiency of η≥ 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.
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BibTeX
@misc{kashani2026multiparameter,
title = {{Multi-Parameter Error Mitigation in Parametric Down-Conversion via SU(1, 1) Composite Segmentation}},
author = {Nastaran Ragerdi Kashani and Rouhollah Karimzadeh},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.37514},
eprint = {2609.37514},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.37514},
}
RIS
TY - UNPB
TI - Multi-Parameter Error Mitigation in Parametric Down-Conversion via SU(1, 1) Composite Segmentation
AU - Nastaran Ragerdi Kashani
AU - Rouhollah Karimzadeh
PY - 2026
DA - 2026/09/29
PB - arXiv
DO - 10.48550/arxiv.2609.37514
UR - https://arxiv.org/abs/2609.37514
AB - 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^∘C thermal window, the generated pairs sustain a relative conversion efficiency of η≥ 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.
ER -