2 papers
quant-ph2025
Quantum algorithms for solving a drift-diffusion equation: A complexity analysis
Ellen Devereux, Animesh Datta
We present four quantum algorithms for solving a multidimensional drift-diffusion equation. They rely on a quantum linear system solver, a quantum Hamiltonian simulation, a quantum…
quant-ph2025
Quantum algorithms for solving a drift-diffusion equation: analysing circuit depths
Ellen Devereux, Animesh Datta
We compare the circuit depths for five different gate sets to implement a quantum algorithm solving a drift-diffusion equation in two spatial dimensions. Our algorithm uses diagona…