87 citations · 186 across the 11 of their papers we have counts for
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quant-ph2022★ 87 cited
Quantum simulation of partial differential equations via Schrodingerisation: technical details
Shi Jin, Nana Liu, Yue Yu
We study a new method - called Schrodingerisation introduced in [Jin, Liu, Yu, arXiv: 2212.13969] - for solving general linear partial differential equations with quantum simulatio…
quant-ph2022★ 46 cited
Quantum simulation of partial differential equations via Schrodingerisation
Shi Jin, Nana Liu, Yue Yu
We present a simple new way - called Schrodingerisation - to simulate general linear partial differential equations via quantum simulation. Using a simple new transform, referred t…
quant-ph2022★ 51 cited
Time complexity analysis of quantum algorithms via linear representations for nonlinear ordinary and partial differential equations
Shi Jin, Nana Liu, Yue Yu
We construct quantum algorithms to compute the solution and/or physical observables of nonlinear ordinary differential equations (ODEs) and nonlinear Hamilton-Jacobi equations (HJE…