Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum annealing with a network of all-to-all connected, two-photon
  driven Kerr nonlinear oscillators   Quantum annealing aims to solve combinatorial optimization problems mapped on
to Ising interactions between quantum spins. A critical factor that limits the
success of a quantum annealer is its sensitivity to noise, and intensive
research is consequently focussed towards developing noise-resilient annealers.
Here we propose a new paradigm for quantum annealing with a scalable network of
all-to-all connected, two-photon driven Kerr-nonlinear resonators. Each of
these resonators encode an Ising spin in a robust degenerate subspace formed by
two coherent states of opposite phases. The fully-connected optimization
problem is mapped onto local fields driving the resonators, which are
themselves connected by local four-body interactions. We describe an adiabatic
annealing protocol in this system and analyze its performance in the presence
of photon loss. Numerical simulations indicate substantial resilience to this
noise channel, making it a promising platform for implementing a large scale
quantum Ising machine. Finally, we propose a realistic implementation of this
scheme in circuit QED.

29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat