Improving the accuracy of the variational quantum eigensolver for molecular systems by the explicitly-correlated perturbative [2] R12-correction

Schleich, Philipp; Kottmann, Jakob S.; Aspuru-Guzik, Alán

doi:10.1039/d2cp00247g

Title: Improving the accuracy of the variational quantum eigensolver for molecular systems by the explicitly-correlated perturbative [2] _R12-correction

Journal Article · Thu May 19 00:00:00 EDT 2022 · Physical Chemistry Chemical Physics. PCCP

DOI:https://doi.org/10.1039/d2cp00247g· OSTI ID:1978860

^[1];

^[2]; Aspuru-Guzik, Alán ^[3]

Univ. of Toronto, ON (Canada); RWTH Aachen Univ. (Germany); Vector Institute for Artificial Intelligence, Toronto, ON (Canada)
Univ. of Toronto, ON (Canada)
Univ. of Toronto, ON (Canada); Vector Institute for Artificial Intelligence, Toronto, ON (Canada); Canadian Institute for Advanced Research (CIFAR), Toronto, ON (Canada)

We provide an integration of the universal, perturbative explicitly correlated [2] _R12-correction in the context of the Variational Quantum Eigensolver (VQE). This approach is able to increase the accuracy of the underlying reference method significantly while requiring no additional quantum resources. The proposed approach only requires knowledge of the one- and two-particle reduced density matrices (RDMs) of the reference wavefunction; these can be measured after having reached convergence in the VQE. This computation comes at a cost that scales as the sixth power of the number of electrons. Here, we explore the performance of the VQE + [2] _R12 approach using both conventional Gaussian basis sets and our recently proposed directly determined pair-natural orbitals obtained by multiresolution analysis (MRA-PNOs). Both Gaussian orbital and PNOs are investigated as a potential set of complementary basis functions in the computation of [2] _R12. In particular the combination of MRA-PNOs with [2] _R12 has turned out to be very promising – persistently throughout our data, this allowed very accurate simulations at a quantum cost of a minimal basis set. Additionally, we found that the deployment of PNOs as complementary basis can greatly reduce the number of complementary basis functions that enter the computation of the correction at a complexity.

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Research Organization:: Emory Univ., Atlanta, GA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0019374

OSTI ID:: 1978860

Alternate ID(s):: OSTI ID: 1870539

Journal Information:: Physical Chemistry Chemical Physics. PCCP, Vol. 24, Issue 22; ISSN 1463-9076

Publisher:: Royal Society of ChemistryCopyright Statement

Country of Publication:: United States

Language:: English

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