Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonlinear regression based on a hybrid quantum computer   Incorporating nonlinearity into quantum machine learning is essential for
learning a complicated input-output mapping. We here propose quantum algorithms
for nonlinear regression, where nonlinearity is introduced with feature maps
when loading classical data into quantum states. Our implementation is based on
a hybrid quantum computer, exploiting both discrete and continuous variables,
for their capacity to encode novel features and efficiency of processing
information. We propose encoding schemes that can realize well-known polynomial
and Gaussian kernel ridge regressions, with exponentially speed-up regarding to
the number of samples.

16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg