Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A quantum algorithm to estimate the Gowers $U_2$ norm and linearity
  testing of Boolean functions   We propose a quantum algorithm to estimate the Gowers $U_2$ norm of a Boolean
function, and extend it into a second algorithm to distinguish between linear
Boolean functions and Boolean functions that are $\epsilon$-far from the set of
linear Boolean functions, which seems to perform better than the classical BLR
algorithm. Finally, we outline an algorithm to estimate Gowers $U_3$ norms of
Boolean functions.

30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
2
The categories of this paper are: math
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat