The Quantum Path Kernel: A Generalized Neural Tangent Kernel for Deep Quantum Machine Learning

• Published in: IEEE transactions on quantum engineering Vol. 4; pp. 1 - 16
• Main Authors: Incudini, Massimiliano, Grossi, Michele, Mandarino, Antonio, Vallecorsa, Sofia, Pierro, Alessandra Di, Windridge, David
• Format: Journal Article
• Language: English
• Published: New York IEEE 2023; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Artificial neural networks; Deep learning; Kernel; Kernels; Machine learning; Mathematical models; neural tangent kernel (NTK); Parameters; Quantum computing; quantum kernel; quantum machine learning; Quantum networks; quantum neural networks (QNNs); Quantum system; Representation learning; support vector machine (SVM); Support vector machines; Transformations (mathematics)

Building a quantum analog of classical deep neural networks represents a fundamental challenge in quantum computing. A key issue is how to address the inherent nonlinearity of classical deep learning, a problem in the quantum domain due to the fact that the composition of an arbitrary number of quan...