3 papers
quant-ph2025
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…
quant-ph2025
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…
quant-ph2025
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…