87 citations · 179 across the 30 of their papers we have counts for
10 papers · 1 filter
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…
Quantum Simulation of Stokes Flow via Schrödingerisation and Artificial Compressibility
Shi Jin, Jiaqi Tang, Qilong Zhai +1
Simulating incompressible Stokes flow is essential for studies in microfluidics and low-Reynolds number hydrodynamics. However, the computational cost of resolving the associated s…
Schrödingerization based quantum algorithms for regularized Wasserstein proximal operators
Shi Jin, Nana Liu, Yue Yu
We develop a quantum algorithm for the regularized Wasserstein proximal operator, which is a fundamental tool in optimal transport and mean-field games. The regularization introduc…
Quantum simulation of the Liouville equation in classical mechanics with discontinuous potential via Schrödingerization
Shi Jin, Shuyi Zhang
We develop quantum simulation algorithms for the Liouville equation of classical mechanics with discontinuous potential. Such discontinuities represent potential barriers at which…
Young Measure Based Quantum Linear Programming Algorithms for Nonlinear/Stochastic Multiscale Partial Differential Equations and Homogenization
Siqi Chen, Shi Jin, Lei Zhang
We study quantum algorithms for nonlinear and stochastic homogenization via a Young-measure based linear programming (LP) formulation, which lifts the nonlinear problem to a linear…
Analog photonic simulator for large-scale transport
Mengyu Zhao, Xuezhi Zhu, Nikita Guseynov +9
Transport equations describe how physical quantities -- such as mass, energy, momentum, concentration, probability, or fields -- are carried, propagated, or redistributed through s…
Quantum Implicit-Explicit Schemes for Multiscale Ordinary and Partial Differential Equations via Schrödingerization
Qitong Hu, Xiaoyang He, Shi Jin +1
In this paper, we present a quantum implicit-explicit (IMEX) scheme for multiscale ordinary and partial differential equations whose discretization parameters are independent of th…
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…
Quantum algorithms for Young measures: applications to nonlinear partial differential equations
Shi Jin, Nana Liu, Maria Lukacova-Medvidova +1
Many nonlinear PDEs have singular or oscillatory solutions or may exhibit physical instabilities or uncertainties. This requires a suitable concept of physically relevant generaliz…
Quantum simulation of Liouville equation in geometrical optics with partial transmission and reflection via Schrödingerization
Shi Jin, Shuyi Zhang
This paper investigates quantum simulation algorithms for the Liouville equation in geometrical optics with partial transmission and reflection at sharp interfaces, based on the Sc…