First-Principles Optical Descriptors and Hybrid Classical-Quantum Classification of Er-Doped CaF$_2$

• URL: http://arxiv.org/abs/2602.00525v1
• Date: Sat, 31 Jan 2026 05:43:59 GMT
• Title: First-Principles Optical Descriptors and Hybrid Classical-Quantum Classification of Er-Doped CaF$_2$
• Authors: David Angel Alba Bonilla, Kerem Yurtseven, Krishan Sharma, Ragunath Chandrasekharan, Muhammad Khizar, Alireza Alipour, Dennis Delali Kwesi Wayo,
• Abstract summary: We present a classical-quantum machine learning framework for discriminating pristine CaF$ from Er-doped CaF$$ using first-principles optical descriptors.<n>From 1,589 energy-resolved points per system, physically interpretable descriptors including transition energy $E$, extinction coefficient $$, and absorption coefficient $$ were extracted.
• Score: 3.039491211255488
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We present a physics-informed classical-quantum machine learning framework for discriminating pristine CaF$_2$ from Er-doped CaF$_2$ using first-principles optical descriptors. Finite Ca$_8$F$_{16}$ and Ca$_7$ErF$_{16}$ clusters were constructed from the fluorite structure (a=5.46~$Å$) and treated using density functional theory (DFT) and linear-response time-dependent DFT (LR-TDDFT) within the GPAW code. Geometry optimization was performed in LCAO mode with a DZP basis and PBE exchange-correlation functional, followed by real-space finite-difference ground-state calculations with grid spacing h=0.30~$Å$ and N$_{bands}$=N$_{occ}$+20. Optical excitations up to 10~eV were obtained via the Casida formalism and converted into continuous absorption spectra using Gaussian broadening ($σ$=0.1-0.2~eV). From 1,589 energy-resolved points per system, physically interpretable descriptors including transition energy $E$, extinction coefficient $κ$, and absorption coefficient $α$ were extracted. A classical RBF-kernel support vector machine (SVM) achieves a test accuracy (ACC) of 0.983 and ROC-AUC of 0.999. Quantum support vector machines (QSVMs) evaluated on statevector and noisy simulators reach accuracies of 0.851 and 0.817, respectively, while execution on IBM quantum hardware yields a test-slice accuracy of 0.733 under finite-shot and decoherence constraints. A hybrid quantum neural network (QNN) with a 3-qubit feature map and depth-4 ansatz achieves a test accuracy of 0.93 and AUC of 0.96. Results here demonstrate that dopant-induced optical fingerprints form a robust, physically grounded feature space for benchmarking near-term quantum learning models against strong classical baselines.

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