Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Benchmarking adaptive variational quantum eigensolvers   By design, the variational quantum eigensolver (VQE) strives to recover the
lowest-energy eigenvalue of a given Hamiltonian by preparing quantum states
guided by the variational principle. In practice, the prepared quantum state is
indirectly assessed by the value of the associated energy. Novel adaptive
derivative-assembled pseudo-trotter (ADAPT) ansatz approaches and recent formal
advances now establish a clear connection between the theory of quantum
chemistry and the quantum state ansatz used to solve the electronic structure
problem. Here we benchmark the accuracy of VQE and ADAPT-VQE to calculate the
electronic ground states and potential energy curves for a few selected
diatomic molecules, namely H$_2$, NaH, and KH. Using numerical simulation, we
find both methods provide good estimates of the energy and ground state, but
only ADAPT-VQE proves to be robust to particularities in optimization methods.
Another relevant finding is that gradient-based optimization is overall more
economical and delivers superior performance than analogous simulations carried
out with gradient-free optimizers. The results also identify small errors in
the prepared state fidelity which show an increasing trend with molecular size.

21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio