Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum circuits for the realization of equivalent forms of
  one-dimensional discrete-time quantum walks on near-term quantum hardware   Quantum walks are a promising framework for developing quantum algorithms and
quantum simulations. They represent an important test case for the application
of quantum computers. Here we present different forms of discrete-time quantum
walks (DTQWs) and show their equivalence for physical realizations. Using an
appropriate digital mapping of the position space on which a walker evolves to
the multiqubit states of a quantum processor, we present different
configurations of quantum circuits for the implementation of DTQWs in
one-dimensional position space. We provide example circuits for a five-qubit
processor and address scalability to higher dimensions as well as larger
quantum processors.

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The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
2
The categories of this paper are: math
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci