We study a recently introduced simple method [S. **, N. Liu, and Y. Yu, Quantum simulation
of partial differential equations via Schrödingerisation, arxiv: 2212.13969] for solving …

Nonlinear differential equations model diverse phenomena but are notoriously difficult to
solve. While there has been extensive previous work on efficient quantum algorithms for …

We propose a quantum algorithm to solve systems of nonlinear differential equations. Using
a quantum feature map encoding, we define functions as expectation values of parametrized …

We study a new method-called Schrodingerisation introduced in [**, Liu, Yu, arxiv:
2212.13969]-for solving general linear partial differential equations with quantum simulation …

We present substantially generalized and improved quantum algorithms over prior work for
inhomogeneous linear and nonlinear ordinary differential equations (ODE). Specifically, we …

The Poisson equation has wide applications in many areas of science and engineering.
Although there are some quantum algorithms that can efficiently solve the Poisson equation …