Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Solving Nuclear Structure Problems with the Adaptive Variational Quantum
  Algorithm   We use the Lipkin-Meshkov-Glick (LMG) model and the valence-space nuclear
shell model to examine the likely performance of variational quantum
eigensolvers in nuclear-structure theory. The LMG model exhibits both a phase
transition and spontaneous symmetry breaking at the mean-field level in one of
the phases, features that characterize collective dynamics in medium-mass and
heavy nuclei. We show that with appropriate modifications, the ADAPT-VQE
algorithm, a particularly flexible and accurate variational approach, is not
troubled by these complications. We treat up to 12 particles and show that the
number of quantum operations needed to approach the ground-state energy scales
linearly with the number of qubits. We find similar scaling when the algorithm
is applied to the nuclear shell model with realistic interactions in the $sd$
and $pf$ shells.

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The categories of this paper are: math
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex