4 papers · 1 filter
Explicit block-encodings for biharmonic boundary-value problems
Chuwen Ma, Zihao Tang
The biharmonic equation is a prototypical fourth-order partial differential equation whose high-dimensional discretization suffers from rapidly growing degrees of freedom and sever…
Transmutation based Quantum Simulation for Non-unitary Dynamics
Shi Jin, Chuwen Ma, Enrique Zuazua
We present a quantum algorithm for simulating dissipative diffusion dynamics generated by positive semidefinite operators of the form , a structure that arises natur…
Hybrid quantum-classical algorithms for complex nonlinear partial differential equations with Ginzburg-Landau potential and vortex motion laws
Shi Jin, Nana Liu, Chuwen Ma
We propose quantum algorithms for complex-valued nonlinear partial differential equations in the strongly nonlinear regime, where the dynamics is governed by vortex cores, phase si…
Schrödingerization based Quantum Circuits for Maxwell's Equation with time-dependent source terms
Chuwen Ma, Shi Jin, Nana Liu +2
The Schrödingerisation method combined with the autonomozation technique in \cite{cjL23} converts general non-autonomous linear differential equations with non-unitary dynamics in…