13 citations · 30 across the 6 of their papers we have counts for
7 papers
Quantum Algorithms for Computational Fluid Dynamics
Mario Guillaume Cecile, Nis-Luca van Hülst, Tomohiro Hashizume +19
We present a comprehensive review of quantum approaches for solving partial differential equations (PDEs) arising in computational fluid dynamics (CFD). We examine fully quantum ap…
Operator learning for efficient quantum computation
Paul Over, Sergio Bengoechea, Leonardo Borello Busilacchi +3
An efficient implementation of quantum algorithms is often hindered by the lack of efficient primitives for operators and state preparation. This limits both the ability of near-te…
Quantum time-marching algorithms for solving linear transport problems including boundary conditions
Sergio Bengoechea, Paul Over, Thomas Rung
This article presents the first complete application of a quantum time-marching algorithm for simulating multidimensional linear transport phenomena with arbitrary boundaries, wher…
Quantum-Inspired Tensor-Network Fractional-Step Method for Incompressible Flow in Curvilinear Coordinates
Nis-Luca van Hülst, Pia Siegl, Paul Over +5
We introduce an algorithmic framework based on tensor networks for computing fluid flows around immersed objects in curvilinear coordinates. We show that the tensor network simulat…
Towards Variational Quantum Algorithms for generalized linear and nonlinear transport phenomena
Sergio Bengoechea, Paul Over, Dieter Jaksch +1
This article proposes a Variational Quantum Algorithm to solve linear and nonlinear thermofluid dynamic transport equations. The hybrid classical-quantum framework is applied to pr…
Quantum Algorithm for the Advection-Diffusion Equation by Direct Block Encoding of the Time-Marching Operator
Paul Over, Sergio Bengoechea, Peter Brearley +2
A quantum algorithm for simulating multidimensional scalar transport problems using a time-marching strategy is presented. A direct unitary block encoding of the explicit time-marc…
Boundary Treatment for Variational Quantum Simulations of Partial Differential Equations on Quantum Computers
Paul Over, Sergio Bengoechea, Thomas Rung +4
The paper presents a variational quantum algorithm to solve initial-boundary value problems described by second-order partial differential equations. The approach uses hybrid class…