Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Recompilation-enhanced simulation of electron-phonon dynamics on IBM
  Quantum computers   Simulating quantum systems is believed to be one of the first applications
for which quantum computers may demonstrate a useful advantage. For many
problems in physics, we are interested in studying the evolution of the
electron-phonon Hamiltonian, for which efficient digital quantum computing
schemes exist. Yet to date, no accurate simulation of this system has been
produced on real quantum hardware. In this work, we consider the absolute
resource cost for gate-based quantum simulation of small electron-phonon
systems as dictated by the number of Trotter steps and bosonic energy levels
necessary for the convergence of dynamics. We then apply these findings to
perform experiments on IBM quantum hardware for both weak and strong
electron-phonon coupling. Despite significant device noise, through the use of
approximate circuit recompilation we obtain electron-phonon dynamics on current
quantum computers comparable to exact diagonalisation. Our results represent a
significant step in utilising near term quantum computers for simulation of
quantum dynamics and highlight the novelty of approximate circuit recompilation
as an error mitigation tool.

6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
2
The categories of this paper are: math
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn