Nana Liu
3 papers in the PaperMetrix corpus
Papers by this author
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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 …
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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 …
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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 …