28 citations · 67 across the 10 of their papers we have counts for
11 papers
Time-Dependent Logarithmic Perturbation Theory for Quantum Dynamics: Formulation and Applications
Juan Carlos del Valle, Paul Bergold, Karolina Kropielnicka
We present a time-dependent extension of logarithmic perturbation theory for nonrelativistic quantum dynamics governed by the Schrödinger equation, in which the logarithm of the wa…
Quantum-classical dynamics of Rashba spin-orbit coupling
Paul Bergold, Giovanni Manfredi, Cesare Tronci
Mixed quantum-classical models are widely used to reduce the computational cost of fully quantum simulations. However, their general applicability across different classes of probl…
Holographic Gaussian Boson Sampling with Matrix Product States on 3D cQED Processors
Ningyi Lyu, Paul Bergold, Micheline B. Soley +2
We introduce quantum circuits for simulations of multi-mode state-vectors on 3D cQED processors, using matrix product state representations. The circuits are demonstrated as applie…
Koopmon trajectories in nonadiabatic quantum-classical dynamics
Werner Bauer, Paul Bergold, François Gay-Balmaz +1
In order to alleviate the computational costs of fully quantum nonadiabatic dynamics, we present a mixed quantum-classical (MQC) particle method based on the theory of Koopman wave…
Madelung transform and variational asymptotics in Born-Oppenheimer molecular dynamics
Paul Bergold, Cesare Tronci
While Born-Oppenheimer molecular dynamics (BOMD) has been widely studied by resorting to powerful methods in mathematical analysis, this paper presents a geometric formulation in t…
Variational quantum iterative power algorithms for global optimization
Thi Ha Kyaw, Micheline B. Soley, Brandon Allen +4
We introduce a family of variational quantum algorithms called quantum iterative power algorithms (QIPA) that outperform existing hybrid near-term quantum algorithms of the same ki…
Functional Tensor-Train Chebyshev Method for Multidimensional Quantum Dynamics Simulations
Micheline B. Soley, Paul Bergold, Alex A. Gorodetsky +1
Methods for efficient simulations of multidimensional quantum dynamics are essential for theoretical studies of chemical systems where quantum effects are important, such as those…
An Error Bound for the Time-Sliced Thawed Gaussian Propagation Method
Paul Bergold, Caroline Lasser
We study the time-sliced thawed Gaussian propagation method, which was recently proposed for solving the time-dependent Schrödinger equation. We introduce a triplet of quadrature-b…
Iterative Power Algorithm for Global Optimization with Quantics Tensor Trains
Micheline B. Soley, Paul Bergold, Victor S. Batista
Optimization algorithms play a central role in chemistry since optimization is the computational keystone of most molecular and electronic structure calculations. Herein, we introd…
The Gaussian Wave Packet Transform via Quadrature Rules
Paul Bergold, Caroline Lasser
We analyse the Gaussian wave packet transform. Based on the Fourier inversion formula and a partition of unity, which is formed by a collection of Gaussian basis functions, a new r…
Fourier series windowed by a bump function
Paul Bergold, Caroline Lasser
We study the Fourier transform windowed by a bump function. We transfer Jackson's classical results on the convergence of the Fourier series of a periodic function to windowed seri…