New Journal Article by Sebastian Raubitzek!
Sebastian Raubitzek, researcher at SBA Research, published an interesting journal article titled “Quantum-Inspired Kernel Matrices: Exploring Symmetry in Machine Learning“ in Physics Letters A via ScienceDirect by ELSEVIER. This insightful article explores how quantum principles can inspire new approaches to symmetry in machine learning, with the potential to advance the field in powerful ways.
© Niklas Schnaubelt
Abstract
Quantum machine learning, an emerging field at the intersection of quantum computing and classical machine learning, has shown great promise in enhancing computational capabilities beyond classical bounds. A key element in this area of research is the utilization of Quantum Kernel Estimators, traditionally grounded in the symmetries of SU(2) groups associated with qubits.
This study extends the conceptual framework of Quantum Kernel Estimators to incorporate a broader spectrum of symmetry groups. By harnessing the various structures of Lie groups, we develop novel quantum-inspired feature maps that offer more flexible and potentially powerful ways to encode and compress classical data into quantum states. We present a comprehensive theoretical introduction for this approach, followed by a methodology that integrates the developed feature maps into quantum-inspired kernel classifiers.
Our results, derived from a series of computational experiments across various datasets, demonstrate the efficacy of this approach in comparison to traditional quantum and classical machine learning models. The findings not only underline the versatility of Lie-group theory in potentially enhancing quantum machine learning algorithms but also open new avenues for exploring complex symmetries in quantum information processing. This research bridges a gap between the study of symmetries and machine learning, paving the way for more sophisticated quantum algorithms capable of tackling complex, high-dimensional data in ways previously unattainable.
LINKS
Quantum inspired kernel matrices: Exploring symmetry in machine learning
Github Repository
SBA Research Group CORE