Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Quantum Computer Amenable Matrix Equation Solver with Applications to
  Computational Electromagnetics   Quantum computation offers a promising alternative to classical computing
methods in many areas of numerical science. Algorithms that make use of the
unique way in which quantum computers store and operate on data often feature
dramatic improvements in performance over their classical counterparts. In this
work, we study problems involving the solution of matrix equations, for which
there currently exists no efficient, general quantum procedure. We present a
generalization of the Harrow/Hassidim/Lloyd algorithm by providing an
alternative unitary for eigenphase estimation. This unitary, which we have
adopted from research into quantum walks, has the advantage of being well
defined for any matrix equation. This allows the matrix solution procedure to
be directly implemented on quantum hardware for any well-conditioned matrix
equation. To analyze the performance of this procedure, we use both classical
simulators and genuine quantum systems, and we consider a practical method of
moments problem from computational electromagnetics.

34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph