Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Comparative study of adaptive variational quantum eigensolvers for
  multi-orbital impurity models   We perform a systematic study of preparing ground states of correlated $e_g$
and $t_{2g}$ multi-orbital impurity models using variational quantum
eigensolvers (VQEs). Both fixed and adaptive wavefunction ans\"atze are
considered and the resulting gate depths and performance with and without
quantum sampling noise are analyzed. We investigate the qubit adaptive
derivative-assembled pseudo-trotter (ADAPT) VQE approach in the Hartree-Fock
orbital basis, as well as the Hamiltonian variational ansatz (HVA) and an
adaptive variant of it in the atomic orbital basis. An operator pool composed
of pairwise commutators of the Hamiltonian terms is developed to allow a fair
comparison between the adaptive and the fixed HVA ansatz. Using statevector
simulations, we show that the most compact ans\"atze are obtained in the atomic
orbital representation with symmetry-based Pauli tapering in parity encoding.
We further perform adaptive VQE calculations including sampling noise, and
demonstrate that high-fidelity state preparation can be achieved with the
Hamiltonian commutator pool. By utilizing a doubly decomposed form of the
impurity Hamiltonian and a noise resilient optimizer, we show that this
approach requires only a modest number of about $2^{12}$ samples per energy
evaluation. We discover a dichotomy of the operator pool complexity in the
presence of quantum noise, where a small pool size reduces the adaptive
overhead but a larger pool size accelerates the convergence to the ground
state. Finally, we measure the ground state energy of the $e_g$ model on IBM
quantum hardware using the converged qubit-ADAPT ansatz, and obtain a relative
error of 0.7\% using error mitigation techniques including symmetry-filtering
and zero-noise extrapolation.

10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an