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Wavelength-Uniform Quantum Algorithms for Mixed-State Quantum Dynamics
Shi Jin, Chuwen Ma
One of the main challenges in numerical simulation of quantum dynamics is the prohibitive cost in the semi-classical regime, in which the de Broglie wave length is small compared w…
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…
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…
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…