Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Scaling and diabatic effects in quantum annealing with a D-Wave device   We discuss quantum annealing of the two-dimensional transverse-field Ising
model on a D-Wave device, encoded on $L \times L$ lattices with $L \le 32$.
Analyzing the residual energy and deviation from maximal magnetization in the
final classical state, we find an optimal $L$ dependent annealing rate $v$ for
which the two quantities are minimized. The results are well described by a
phenomenological model with two powers of $v$ and $L$-dependent prefactors to
describe the competing effects of reduced quantum fluctuations (for which we
see evidence of the Kibble-Zurek mechanism) and increasing noise impact when
$v$ is lowered. The same scaling form also describes results of numerical
solutions of a transverse-field Ising model with the spins coupled to noise
sources. We explain why the optimal annealing time is much longer than the
coherence time of the individual qubits.

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The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
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The categories of this paper are: q-alg
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The categories of this paper are: alg-geom
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The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: math-ph
2
The categories of this paper are: math
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The categories of this paper are: acc-phys