28 citations · 36 across the 7 of their papers we have counts for
7 papers
Spectral quantum algorithm for passive scalar transport in shear flows
Philipp Pfeffer, Peter Brearley, Sylvain Laizet +1
The mixing of scalar substances in fluid flows by stirring and diffusion is ubiquitous in natural flows, chemical engineering, and microfluidic drug delivery. Here, we present a sp…
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…
Multi-Fidelity Bayesian Optimisation of Wind Farm Wake Steering using Wake Models and Large Eddy Simulations
Andrew Mole, Sylvain Laizet
Improving the power output from wind farms is vital in transitioning to renewable electricity generation. However, in wind farms, wind turbines often operate in the wake of other t…
Variational quantum algorithm based on Lagrange polynomial encoding to solve differential equations
Josephine Hunout, Sylvain Laizet, Lorenzo Iannucci
Differential equations (DEs) serve as the cornerstone for a wide range of scientific endeavors, their solutions weaving through the core of diverse fields such as structural engine…
Asymptotic scaling laws for periodic turbulent boundary layers and their numerical simulation up to Re_theta = 8300
Andrew Wynn, Saeed Parvar, Joseph O Connor +1
We provide a rigorous analysis of the self-similar solution of the temporal turbulent boundary layer, recently proposed in [2], in which a body force is used to maintain a statisti…
Quantum Computing for nonlinear differential equations and turbulence
Felix Tennie, Sylvain Laizet, Seth Lloyd +1
A large spectrum of problems in classical physics and engineering, such as turbulence, is governed by nonlinear differential equations, which typically require high-performance com…
Quantum Algorithm for Solving the Advection Equation using Hamiltonian Simulation
Peter Brearley, Sylvain Laizet
A quantum algorithm for solving the advection equation by embedding the discrete time-marching operator into Hamiltonian simulations is presented. One-dimensional advection can be…