qinnovision-world-challenge-2025 / Solving the Advection Equation

The study of differential equations with the aid of quantum algorithms has gained significant attention with the recent advancements in quantum computing. A particularly notable contribution is the work by Yuki Sato et al., Hamiltonian Simulation for Hyperbolic Partial Differential Equations using Scalable Quantum Circuits, which presents a novel method for solving a class of partial differential equations. This approach reformulates differential equations as a Schrödinger equation and leverages Hamiltonian simulation techniques to solve them on a quantum computer.

The goal of this challenge is to develop a parametrized quantum program as a function of time, using the Classiq platform.