75 citations · 268 across the 18 of their papers we have counts for
4 papers · 1 filter
Quantum computer formulation of the FKP-operator eigenvalue problem for probabilistic learning on manifolds
Christian Soize, Loïc Joubert-Doriol, Artur F. Izmaylov
We present a quantum computing formulation to address a challenging problem in the development of probabilistic learning on manifolds (PLoM). It involves solving the spectral probl…
Quantum Kinetic Rates within the Nonequilibrium Steady State
Loïc Joubert-Doriol, Kenneth A. Jung, Artur F. Izmaylov +1
The nonequilibrium steady state (NESS) of a quantum network is central to a host of physical and biological scenarios. Examples include natural processes such as vision and photosy…
A variational approach for linearly dependent moving bases in quantum dynamics: application to Gaussian functions
Loïc Joubert-Doriol
In this paper, we present a variational treatment of the linear dependence for a non-orthogonal time-dependent basis set in solving the Schrödinger equation. The method is based on…
Geometric phase effects in low-energy dynamics near conical intersections: A study of the multidimensional linear vibronic coupling model
Loic Joubert-Doriol, Ilya G. Ryabinkin, Artur F. Izmaylov
In molecular systems containing conical intersections (CIs), a nontrivial geometric phase (GP) appears in the nuclear and electronic wave-functions in the adiabatic representation.…