Universität zu Köln

Hubregtsen, Thomas, Wierichs, David ORCID: 0000-0002-0983-7136, Gil-Fuster, Elies, Derks, Peter-Jan H. S., Faehrmann, Paul K. and Meyer, Johannes Jakob ORCID: 0000-0003-1533-8015 (2022). Training quantum embedding kernels on near-term quantum computers. Phys. Rev. A, 106 (4). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2469-9934

Full text not available from this repository.

Abstract

Kernel methods are a cornerstone of classical machine learning. The idea of using quantum computers to compute kernels has recently attracted attention. Quantum embedding kernels (QEKs), constructed by embedding data into the Hilbert space of a quantum computer, are a particular quantum kernel technique that is particularly suitable for noisy intermediate-scale quantum devices. Unfortunately, kernel methods face three major problems: Constructing the kernel matrix has quadratic computational complexity in the number of training samples, choosing the right kernel function is nontrivial, and the effects of noise are unknown. In this work, we addressed the latter two. In particular, we introduced the notion of trainable QEKs, based on the idea of classical model optimization methods. To train the parameters of the QEK, we proposed the use of kernel-target alignment. We verified the feasibility of this method, and showed that for our experimental setup we could reduce the training error significantly. Furthermore, we investigated the effects of device and finite sampling noise, and we evaluated various mitigation techniques numerically on classical hardware. We took the best performing strategy and evaluated it on data from a real quantum processing unit. We found that using this mitigation strategy demonstrated an increased kernel matrix quality.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Hubregtsen, Thomas UNSPECIFIED UNSPECIFIED UNSPECIFIED Wierichs, David UNSPECIFIED orcid.org/0000-0002-0983-7136 UNSPECIFIED Gil-Fuster, Elies UNSPECIFIED UNSPECIFIED UNSPECIFIED Derks, Peter-Jan H. S. UNSPECIFIED UNSPECIFIED UNSPECIFIED Faehrmann, Paul K. UNSPECIFIED UNSPECIFIED UNSPECIFIED Meyer, Johannes Jakob UNSPECIFIED orcid.org/0000-0003-1533-8015 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-671485
DOI:	10.1103/PhysRevA.106.042431
Journal or Publication Title:	Phys. Rev. A
Volume:	106
Number:	4
Date:	2022
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	2469-9934
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language Optics; Physics, Atomic, Molecular & Chemical Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/67148