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Quantum Kerr learning

delete2023-04-06
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OA
AI
J
Junyu Liu *
钟长春 cover
钟长春 (Changchun Zhong)
M
Matthew Otten
C
Chandra, Anirban
C
Cristian L. Cortes
C
Chaoyang Ti
S
Stephen K. Gray
H
Han, Xu *
DOI:10.1088/2632-2153/acc726delete
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Abstract

Abstract

En 中文
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 quantum Kerr learning, based on circuit QED.
Keywords:
quantum machine learning
machine learning theory
quantum physics

Journal

M
Machine Learning-Science and Technology
IF:
4.6
Papers:
1.1K
Citations:
3.4K

Organization

A
Argonne National Laboratory
Scholars:
1.1W
Papers: 9.2K
Citations: 3.8W
U
university of chicago
Scholars:
4.4W
Papers: 3.7W
Citations: 80
University of Illinois System cover
University of Illinois System
Scholars:
6.8W
Papers: 6.1W
Citations: 644
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