13 citations · 30 across the 6 of their papers we have counts for
3 papers · 1 filter
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…