Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Experimental Quantum Computing to Solve Systems of Linear Equations   Solving linear systems of equations is ubiquitous in all areas of science and
engineering. With rapidly growing data sets, such a task can be intractable for
classical computers, as the best known classical algorithms require a time
proportional to the number of variables N. A recently proposed quantum
algorithm shows that quantum computers could solve linear systems in a time
scale of order log(N), giving an exponential speedup over classical computers.
Here we realize the simplest instance of this algorithm, solving 2*2 linear
equations for various input vectors on a quantum computer. We use four quantum
bits and four controlled logic gates to implement every subroutine required,
demonstrating the working principle of this algorithm.

9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
19
The categories of this paper are: eess