87 citations · 179 across the 30 of their papers we have counts for
9 papers · 1 filter
Quantum Algorithms for Stochastic Differential Equations: A Schrödingerisation Approach
Shi Jin, Nana Liu, Wei Wei
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 comp…
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 int…
Unifying framework for quantum simulation algorithms for time-dependent Hamiltonian dynamics
Yu Cao, Shi Jin, Nana Liu
Recently, there has been growing interest in simulating time-dependent Hamiltonians using quantum algorithms, driven by diverse applications, such as quantum adiabatic computing. W…
Analog quantum simulation of parabolic partial differential equations using Jaynes-Cummings-like models
Shi Jin, Nana Liu
We present a simplified analog quantum simulation protocol for preparing quantum states that embed solutions of parabolic partial differential equations, including the heat, Black-…
Quantum Circuits for the heat equation with physical boundary conditions via Schrodingerisation
Shi Jin, Nana Liu, Yue Yu
This paper explores the explicit design of quantum circuits for quantum simulation of partial differential equations (PDEs) with physical boundary conditions. These equations and/o…
Quantum simulation of the Fokker-Planck equation via Schrodingerization
Shi Jin, Nana Liu, Yue Yu
This paper studies a quantum simulation technique for solving the Fokker-Planck equation. Traditional semi-discretization methods often fail to preserve the underlying Hamiltonian…
Schrödingerisation based computationally stable algorithms for ill-posed problems in partial differential equations
Shi Jin, Nana Liu, Chuwen Ma
We introduce a simple and stable computational method for ill-posed partial differential equation (PDE) problems. The method is based on Schrödingerization, introduced in [S. Jin,…
Quantum Circuits for partial differential equations via Schrödingerisation
Junpeng Hu, Shi Jin, Nana Liu +1
Quantum computing has emerged as a promising avenue for achieving significant speedup, particularly in large-scale PDE simulations, compared to classical computing. One of the main…
On Schrödingerization based quantum algorithms for linear dynamical systems with inhomogeneous terms
Shi Jin, Nana Liu, Chuwen Ma
We analyze the Schrödingerization method for quantum simulation of a general class of non-unitary dynamics with inhomogeneous source terms. The Schrödingerization technique, introd…