Efficient quantum analytic nuclear gradients with double factorization

Edward G. Hohenstein

doi:10.1063/5.0137167

Efficient quantum analytic nuclear gradients with double factorization

2023-03-21

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DOI：10.1063/5.0137167

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Efficient representations of the Hamiltonian, such as double factorization, drastically reduce the circuit depth or the number of repetitions in error corrected and noisy intermediate-scale quantum (NISQ) algorithms for chemistry. We report a Lagrangian-based approach for evaluating relaxed one- and two-particle reduced density matrices from double factorized Hamiltonians, unlocking efficiency improvements in computing the nuclear gradient and related derivative properties. We demonstrate the accuracy and feasibility of our Lagrangian-based approach to recover all off-diagonal density matrix elements in classically simulated examples with up to 327 quantum and 18 470 total atoms in QM/MM simulations with modest-sized quantum active spaces. We show this in the context of the variational quantum eigensolver in case studies, such as transition state optimization, ab initio molecular dynamics simulation, and energy minimization of large molecular systems.

Keywords:

HARTREE-FOCK EQUATIONS

ELECTRONIC-STRUCTURE CALCULATIONS

AB-INITIO CALCULATION

POLYATOMIC-MOLECULES

ENERGY DERIVATIVES

FORCE-CONSTANTS

EXCITED-STATES

GEOMETRIES

INTEGRALS

Efficient quantum analytic nuclear gradients with double factorization

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