Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the application of matrix congruence to QUBO formulations for systems
  of linear equations   Recent studies on quantum computing algorithms focus on excavating features
of quantum computers which have potential for contributing to computational
model enhancements. Among various approaches, quantum annealing methods
effectively parallelize quadratic unconstrained binary optimization (QUBO)
formulations of systems of linear equations. In this paper, we simplify these
formulations by exploiting congruence of real symmetric matrices to diagonal
matrices. We further exhibit computational merits of the proposed QUBO models,
which can outperform classical algorithms such as QR and SVD decomposition.

29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th