CELGQUANT-PHFeb 17, 2025

Quantum Data Encoding and Variational Algorithms: A Framework for Hybrid Quantum Classical Machine Learning

arXiv:2502.11951v22 citations
Originality Incremental advance
AI Analysis

This work addresses the problem of making quantum machine learning practical for near-term quantum devices, though it appears incremental as it builds on existing hybrid approaches.

The paper tackles the challenge of connecting classical data pipelines with quantum algorithms by proposing a hybrid quantum-classical framework that encodes classical data into quantum states and uses variational quantum circuits with classical optimizers. Experimental results show that even small quantum circuits can achieve competitive accuracy compared to classical benchmarks and demonstrate better robustness to noisy data distributions.

The development of quantum computers has been the stimulus that enables the realization of Quantum Machine Learning (QML), an area that integrates the calculational framework of quantum mechanics with the adaptive properties of classical machine learning. This article suggests a broad architecture that allows the connection between classical data pipelines and quantum algorithms, hybrid quantum-classical models emerge as a promising route to scalable and near-term quantum benefit. At the core of this paradigm lies the Classical-Quantum (CQ) paradigm, in which the qubit states of high-dimensional classical data are encoded using sophisticated classical encoding strategies which encode the data in terms of amplitude and angle of rotation, along with superposition mapping. These techniques allow compression of information exponentially into Hilbert space representations, which, together with reduced sample complexity, allows greater feature expressivity. We also examine variational quantum circuits, quantum gates expressed as trainable variables that run with classical optimizers to overcome decoherence, noise, and gate-depth constraints of the existing Noisy Intermediate-Scale Quantum (NISQ) devices. Experimental comparisons with a Quantum Naive Bayes classifier prove that even small quantum circuits can approximate probabilistic inference with competitive accuracy compared to classical benchmarks, and have much better robustness to noisy data distributionsThis model does not only explain the algorithmic and architectural design of QML, it also offers a roadmap to the implementation of quantum kernels, variational algorithms, and hybrid feedback loops into practice, including optimization, computer vision, and medical diagnostics. The results support the idea that hybrid architectures with strong data encoding and adaptive error protection are key to moving QML out of theory to practice.

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