Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bifurcation-based adiabatic quantum computation with a nonlinear
  oscillator network: Toward quantum soft computing   The dynamics of nonlinear systems qualitatively change depending on their
parameters, which is called bifurcation. A quantum-mechanical nonlinear
oscillator can yield a quantum superposition of two oscillation states, known
as a Schr\"odinger cat state, via quantum adiabatic evolution through its
bifurcation point. Here we propose a quantum computer comprising such quantum
nonlinear oscillators, instead of quantum bits, to solve hard combinatorial
optimization problems. The nonlinear oscillator network finds optimal solutions
via quantum adiabatic evolution, where nonlinear terms are increased slowly, in
contrast to conventional adiabatic quantum computation or quantum annealing,
where quantum fluctuation terms are decreased slowly. As a result of numerical
simulations, it is concluded that quantum superposition and quantum fluctuation
work effectively to find optimal solutions. It is also notable that the present
computer is analogous to neural computers, which are also networks of nonlinear
components. Thus, the present scheme will open new possibilities for quantum
computation, nonlinear science, and artificial intelligence.

26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat