Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Neural network wave functions and the sign problem   Neural quantum states (NQS) are a promising approach to study many-body
quantum physics. However, they face a major challenge when applied to lattice
models: Convolutional networks struggle to converge to ground states with a
nontrivial sign structure. We tackle this problem by proposing a neural network
architecture with a simple, explicit, and interpretable phase ansatz, which can
robustly represent such states and achieve state-of-the-art variational
energies for both conventional and frustrated antiferromagnets. In the latter
case, our approach uncovers low-energy states that exhibit the Marshall sign
rule and are therefore inconsistent with the expected ground state. Such states
are the likely cause of the obstruction for NQS-based variational Monte Carlo
to access the true ground states of these systems. We discuss the implications
of this observation and suggest potential strategies to overcome the problem.

24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
2
The categories of this paper are: math
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th