Can I read Benchmarking of quantum fidelity kernels for Gaussian process regression on EtoBox?

Benchmarking of quantum fidelity kernels for Gaussian process regression by Guo, Xuyang; Dai, Jun; Krems, Roman V. is a scholarly article available to read on EtoBox.

What is Benchmarking of quantum fidelity kernels for Gaussian process regression about?

Quantum computing algorithms have been shown to produce performant quantum kernels for machine-learning classification problems. Here, we examine the performance of quantum kernels for regression problems of practical interest. For an unbiased benchmarking of quantum kernels, it is necessary to construct the most optimal functional form of the classical kernels and the most optimal quantum kernels for each given data set. We develop an algorithm that uses an analog of the Bayesian information criterion to optimize the sequence of quantum gates used to estimate quantum kernels for Gaussian process models. The algorithm increases the complexity of the quantum circuits incrementally, while improving the performance of the resulting kernels, and is shown to yield much higher model accuracy with fewer quantum gates than a fixed quantum circuit ansatz. We demonstrate that quantum kernels thus obtained can be used to build accurate models of global potential energy surfaces (PES) for polyatomic molecules. The average interpolation error of the six-dimensional PES obtained with a random distribution of 2000 energy points is 16 cm$^{-1}$ for H$_3$O$^+$, 15 cm$^{-1}$ for H$_2$CO and 88 cm$^{

Author

Guo, Xuyang; Dai, Jun; Krems, Roman V.

Published

2024

Language

EN