Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generating 3 qubit quantum circuits with neural networks   A new method for compiling quantum algorithms is proposed and tested for a
three qubit system. The proposed method is to decompose a a unitary matrix U,
into a product of simpler U j via a neural network. These U j can then be
decomposed into product of known quantum gates. Key to the effectiveness of
this approach is the restriction of the set of training data generated to paths
which approximate minimal normal subRiemannian geodesics, as this removes
unnecessary redundancy and ensures the products are unique. The two neural
networks are shown to work effectively, each individually returning low loss
values on validation data after relatively short training periods. The two
networks are able to return coefficients that are sufficiently close to the
true coefficient values to validate this method as an approach for generating
quantum circuits. There is scope for more work in scaling this approach to
larger quantum systems.

34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
2
The categories of this paper are: math
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs