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Analysis and synthesis of feature map for kernel-based quantum classifier

delete2020-07-28
delete28
PRE
AI
Y
Yudai Suzuki *
Y
Yano, Hiroshi
G
Gao, Qi
U
Uno, Shumpei
T
Tanaka, Tomoki
A
Akiyama, Manato
Y
Yamamoto, Naoki
DOI:10.1007/s42484-020-00020-ydelete
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Abstract

Abstract

En 中文
A method for analyzing the feature map for the kernel-based quantum classifier is developed; that is, we give a general formula for computing a lower bound of the exact training accuracy, which helps us to see whether the selected feature map is suitable for linearly separating the dataset. We show a proof of concept demonstration of this method for a class of 2-qubit classifier, with several 2-dimensional datasets. Also, a synthesis method, which combines different kernels to construct a better-performing feature map in a lager feature space, is presented.
Keywords:
Quantum computing
Support vector machine
Kernel method
Feature map
AI Summary

AI Summary

Key information extracted from the uploaded paper, including a brief overview, abstract, background, key highlights, visual analysis, and future outlook.

Journal

Q
Quantum Machine Intelligence
IF:
4.4
Papers:
436
Citations:
796

Organization

K
Keio University
Scholars:
2.2W
Papers: 1.6W
Citations: 13