Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An efficient adaptive variational quantum solver of the Schrodinger
  equation based on reduced density matrices   Recently, an adaptive variational algorithm termed Adaptive
Derivative-Assembled Pseudo-Trotter ansatz Variational Quantum Eigensolver
(ADAPT-VQE) has been proposed by Grimsley et al. (Nat. Commun. 10, 3007) while
the number of measurements required to perform this algorithm scales O(N^8). In
this work, we present an efficient adaptive variational quantum solver of the
Schrodinger equation based on ADAPT-VQE together with the reduced density
matrix reconstruction approach, which reduces the number of measurements from
O(N^8) to O(N^4). This new algorithm is quite suitable for quantum simulations
of chemical systems on near-term noisy intermediate-scale hardware due to low
circuit complexity and reduced measurement. Numerical benchmark calculations
for small molecules demonstrate that this new algorithm provides an accurate
description of the ground-state potential energy curves. In addition, we
generalize this new algorithm for excited states with the variational quantum
deflation approach and achieve the same accuracy as ground-state simulations.

34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph