Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Variational quantum simulation of the imaginary-time Lyapunov control
  for accelerating the ground-state preparation   Quantum computers have been widely speculated to offer significant advantages
in obtaining the ground state of difficult Hamiltonians in chemistry and
physics. In this work, we first propose a Lyapunov control-inspired strategy to
accelerate the well-established imaginary-time method for the ground-state
preparation. Different from the typical setting of performing optimal control
in the realtime domain, we extend the Lyapunov control method to the
imaginary-time domain for the groundstate preparation. To make the method
accessible in the noisy intermediate-scale quantum era, we further propose a
variational form of the algorithm that could work with shallow quantum
circuits. Through numerical examples, we show that the driven imaginary-time
evolution can converge to the desired ground state exponentially faster than
the standard imaginary-time evolution for some difficult physical systems
involving small energy gaps, such as diatomic molecules HF with a large
intra-molecular distance and spin models with long-range couplings. Finally,
with a careful selection of the control Hamiltonians, the new variational
algorithm does not incur additional measurements costs, compared to the
variational imaginary-time algorithm.

19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph