Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Short-depth trial-wavefunctions for the variational quantum eigensolver
  based on the problem Hamiltonian   For the variational quantum eigensolver we propose to generate trial
wavefunctions from a small amount of selected Pauli terms of the problem
Hamiltonian. Two different approaches, one inspired by the quantum approximate
optimization algorithm and the other by imaginary-time evolution, are proposed
and studied in detail. Using numerical calculations, we study the efficiency of
these trial wavefunctions for finding the ground-state energy of three
molecules: H2, LiH and H2O. We find that only a small number of Pauli terms are
needed to reach chemical accuracy, leading to short-depth quantum circuits with
a small number of variational parameters. For the LiH molecule, the quantum
circuit consists of 36 two-qubit gates, 45 one-qubit gates, and four
variational parameters, with a favorable scaling for larger molecules.

15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat