Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Self-learning projective quantum Monte Carlo simulations guided by
  restricted Boltzmann machines   The projective quantum Monte Carlo (PQMC) algorithms are among the most
powerful computational techniques to simulate the ground state properties of
quantum many-body systems. However, they are efficient only if a sufficiently
accurate trial wave function is used to guide the simulation. In the standard
approach, this guiding wave function is obtained in a separate simulation that
performs a variational minimization. Here we show how to perform PQMC
simulations guided by an adaptive wave function based on a restricted Boltzmann
machine. This adaptive wave function is optimized along the PQMC simulation via
unsupervised machine learning, avoiding the need of a separate variational
optimization. As a byproduct, this technique provides an accurate ansatz for
the ground state wave function, which is obtained by minimizing the
Kullback-Leibler divergence with respect to the PQMC samples, rather than by
minimizing the energy expectation value as in standard variational
optimizations. The high accuracy of this self-learning PQMC technique is
demonstrated for a paradigmatic sign-problem-free model, namely, the
ferromagnetic quantum Ising chain, showing very precise agreement with the
predictions of the Jordan-Wigner theory and of loop quantum Monte Carlo
simulations performed in the low-temperature limit.

16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph