4 papers · 1 filter
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…
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…
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…
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…