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Quantum machine learning for predicting properties of van der Waals bilayers
Chandra Chowdhury1, Livia Giordano1
1Department of Materials Science, University of Milano-Bicocca, Via Cozzi 55, 20125 Milano, Italy.
Quantum machine learning (QML) offers a new approach to predict electronic properties of van der Waals bilayers. This study benchmarks QML models, showing potential for materials discovery despite computational challenges.
Area of Science:
- Condensed Matter Physics
- Quantum Computing
- Materials Science
Background:
- Layering 2D materials into van der Waals (vdW) bilayers creates novel quantum states and tunable electronic properties.
- Exploring the vast configuration space of vdW bilayers is computationally intensive, driving the need for advanced methods like quantum machine learning (QML).
Purpose of the Study:
- To present a quantum-enhanced machine learning framework for predicting bandgaps of vdW bilayers using quantum simulators.
- To evaluate the performance of different quantum feature maps for classification and regression tasks in materials property prediction.
Main Methods:
- Conventional feature selection was performed to identify key descriptors for electronic properties.
- Electronic properties were encoded into quantum states using parameterized quantum circuits and three feature maps (ZFeatureMap, ZZFeatureMap, PauliFeatureMap).
- Quantum Support Vector Regressor (QSVR) and variational quantum regressor models were trained and benchmarked against classical Support Vector Regression (SVR).
Main Results:
- Task-dependent performance was observed for quantum feature maps; ZFeatureMap excelled in classification, while PauliFeatureMap performed best for regression (QSVR).
- QML models achieved significant predictive accuracy for bandgaps of 1850 semiconducting vdW bilayers, even with limited training data.
- Quantum classifiers showed competitive performance against classical Support Vector Classifiers (SVC), while classical SVR yielded the lowest regression RMSE.
Conclusions:
- The study demonstrates the feasibility of a simulator-based QML workflow for predicting vdW bilayer properties.
- Feature map selection is crucial and should be optimized for specific tasks (classification vs. regression).
- This work serves as an exploratory benchmark for hybrid classical-quantum models in vdW materials, rather than proving a definitive quantum advantage.
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