Quantum-Enhanced Similarity Measures for Polarimetric Materials Classification
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Abstract (arXiv)
We present a quantum--classical hybrid pipeline for polarimetric material classification that casts this as a point-matching problem. Voxel cubes, containing polarized light reflections, are used to train an encoder to produce 32-dimensional embeddings for the voxels of the cubes. At inference, the encoder head is discarded and the embeddings are encoded as probability amplitudes of quantum states. Next, a SWAP-test circuit estimates the fidelity between each of the 32D embeddings from the query cube and a dataset of anchor cubes. The aggregated fidelity serves as materials similarity scores, and the class of the anchor with highest aggregated fidelity is deemed as the class of the queried material. We evaluate our approach on a dataset of 23 materials (≈800 samples each) derived from their Mueller matrices. The point-matching approaches from the proposed quantum SWAP-test and a classical classifier using Optimal Transport are compared. Our results demonstrate the competitive classification accuracy alongside open-set discrimination potential, establishing it as a viable path toward NISQ-based material recognition.
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References · 16
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- 2016A Baseline for Detecting Misclassified and Out-of-Distribution Examples in Neural Networkscited by 2,385
- 2018Dynamic Graph CNN for Learning on Point Cloudscited by 2,223
- 2020Point Transformercited by 1,470
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- 2018Computational Optimal Transportcited by 780
- 2014Deep Neural Networks are Easily Fooled: High Confidence Predictions for Unrecognizable Imagescited by 776
- 2021Point-BERT: Pre-training 3D Point Cloud Transformers with Masked Point Modelingcited by 653
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- 2022Dual Octree Graph Networks for Learning Adaptive Volumetric Shape Representationscited by 71
- 2021Deep Polarization Imaging for 3D shape and SVBRDF Acquisitioncited by 56
4 more
- 2025OctGPT: Octree-based Multiscale Autoregressive Models for 3D Shape Generationcited by 30
- 2021Q-Match: Iterative Shape Matching via Quantum Annealingcited by 27
- 2019A Quantum Computational Approach to Correspondence Problems on Point Setscited by 23
- 2023CCuantuMM: Cycle-Consistent Quantum-Hybrid Matching of Multiple Shapescited by 11
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