Nana Liu

Quantum simulation of Maxwell's equations via Schrödingersation

2023 · arXiv (Cornell University)

We present quantum algorithms for electromagnetic fields governed by Maxwell's equations. The algorithms are based on the Schrödingersation approach, which transforms any linear PDEs and ODEs with non-unitary dynamics into a system evolving under unitary …

Quantum simulation of Maxwell’s equations <i>via</i> Schrödingerisation

2024 · ESAIM Mathematical Modelling and Numerical Analysis

We present quantum algorithms for electromagnetic fields governed by Maxwell’s equations. The algorithms are based on the Schrödingerisation approach, which transforms any linear PDEs and ODEs with non-unitary dynamics into a system evolving under unitary …

Quantum Algorithms for Stochastic Differential Equations: A Schrödingerisation Approach

2024 · arXiv (Cornell University)

Quantum computers are known for their potential to achieve up-to-exponential speedup compared to classical computers for certain problems. To exploit the advantages of quantum computers, we propose quantum algorithms for linear stochastic differential equations, utilizing …