Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Embedding quadratization gadgets on Chimera and Pegasus graphs   We group all known quadratizations of cubic and quartic terms in binary
optimization problems into six and seven unique graphs respectively. We then
perform a minor embedding of these graphs onto the well-known Chimera graph,
and the brand new Pegasus graph. We conclude with recommendations for which
gadgets are best to use when aiming to reduce the total number of qubits
required to embed a problem.

16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph