Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Electric circuits for universal quantum gates and quantum Fourier
  transformation   Universal quantum computation may be realized based on quantum walk, by
formulating it as a scattering problem on a graph. In this paper, we simulate
quantum gates through electric circuits, following a recent report that a
one-dimensional $LC$ electric circuit can simulate a Schr\"{o}dinger equation
and hence a quantum walk. Especially, we propose a physical realization of a
set of universal quantum gates consisting of the CNOT, Hadamard and $\pi /4$
phase-shift gates with the use of telegrapher wires and mixing bridges.
Furthermore, we construct the $\pi /2^{n}$ phase-shift gate for an arbitrary
integer $n$, which is an essential element to perform the quantum Fourier
transformation and prime factorization based on the Shor algorithm. Our results
will open a way to universal quantum computation based on electric circuits.

11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
2
The categories of this paper are: math
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ