3 citations · 4 across the 2 of their papers we have counts for
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Quantum simulation of Maxwell's equations via Schrödingersation
Shi Jin, Nana Liu, Chuwen Ma
We present quantum algorithms for electromagnetic fields governed by Maxwell's equations. The algorithms are based on the Schrödingersation approach, which transforms any linear PD…
Analog quantum simulation of partial differential equations
Shi Jin, Nana Liu
Quantum simulators were originally proposed for simulating one partial differential equation (PDE) in particular - Schrodinger's equation. Can quantum simulators also efficiently s…
Quantum Simulation for Partial Differential Equations with Physical Boundary or Interface Conditions
Shi Jin, Xiantao Li, Nana Liu +1
This paper explores the feasibility of quantum simulation for partial differential equations (PDEs) with physical boundary or interface conditions. Semi-discretisation of such prob…
Quantum simulation of discrete linear dynamical systems and simple iterative methods in linear algebra via Schrodingerisation
Shi Jin, Nana Liu
Quantum simulation is known to be capable of simulating certain dynamical systems in continuous time -- Schrodinger's equations being the most direct and well-known -- more efficie…
Quantum Simulation for Quantum Dynamics with Artificial Boundary Conditions
Shi Jin, Nana Liu, Xiantao Li +1
Quantum dynamics, typically expressed in the form of a time-dependent Schrödinger equation with a Hermitian Hamiltonian, is a natural application for quantum computing. However, wh…
Quantum algorithms for uncertainty quantification: application to partial differential equations
Francois Golse, Shi Jin, Nana Liu
Most problems in uncertainty quantification, despite its ubiquitousness in scientific computing, applied mathematics and data science, remain formidable on a classical computer. Fo…