Quantum Kerr Learning
arXiv:2205.12004 · doi:10.1088/2632-2153/acc726
Abstract
Quantum machine learning is a rapidly evolving field of research that could facilitate important applications for quantum computing and also significantly impact data-driven sciences. In our work, based on various arguments from complexity theory and physics, we demonstrate that a single Kerr mode can provide some "quantum enhancements" when dealing with kernel-based methods. Using kernel properties, neural tangent kernel theory, first-order perturbation theory of the Kerr non-linearity, and non-perturbative numerical simulations, we show that quantum enhancements could happen in terms of convergence time and generalization error. Furthermore, we make explicit indications on how higher-dimensional input data could be considered. Finally, we propose an experimental protocol, that we call \emph{quantum Kerr learning}, based on circuit QED.
arXiv comment20 pages, many figures. v2: significant updates, author added
References in corpus (18)
- Quantum Computing in the NISQ era and beyond
- Quantum Machine Learning
- Supervised learning with quantum enhanced feature spaces
- Barren plateaus in quantum neural network training landscapes
- Quantum Convolutional Neural Networks
- An introduction to quantum machine learning
- The power of quantum neural networks
- Efficient Learning for Deep Quantum Neural Networks
- A rigorous and robust quantum speed-up in supervised machine learning
- Quantum Algorithms for Quantum Field Theories
- Generalization in quantum machine learning from few training data
- Generalization in Quantum Machine Learning: a Quantum Information Perspective
- Cavity piezo-mechanics for superconducting-nanophotonic quantum interface
- Quantum computing models for artificial neural networks
- Spectral Bias and Task-Model Alignment Explain Generalization in Kernel Regression and Infinitely Wide Neural Networks
- Quantum Algorithmic Measurement
- Multimode Strong Coupling in Superconducting Cavity Piezo-electromechanics
- Superconducting cavity piezo-electromechanics: the realization of an acoustic frequency comb at microwave frequencies