Cover Image

A Novel Quantum Fourier Ordinary Differential Equation Solver for Solving Linear and Nonlinear Partial Differential Equations

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Xiao, Yang, Yang, Liming, Shu, Chang, Du, Yinjie, Song, Yuxin
Format:	Preprint
Published:	2025
Subjects:	Quantum Physics
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Quantum Neural Ordinary and Partial Differential Equations
by: Cao, Yu, et al.
Published: (2025)

Solving Nonlinear Partial Differential Equations via a Hybrid Newton Method Using Quantum Linear System Solver
by: Buxadé, Maximilian Mandelt, et al.
Published: (2026)

Quantum Variational Solving of Nonlinear and Multi-Dimensional Partial Differential Equations
by: Sarma, Abhijat, et al.
Published: (2023)

A Stable and General Quantum Fractional-Step Lattice Boltzmann Method for Incompressible Flows
by: Xiao, Yang, et al.
Published: (2026)

Quantum Implicit-Explicit Schemes for Multiscale Ordinary and Partial Differential Equations via Schrödingerization
by: Hu, Qitong, et al.
Published: (2026)

Quantum Lattice Kinetic Scheme for Solving Two-dimensional and Three-dimensional Incompressible Flows
by: Xiao, Yang, et al.
Published: (2025)

Quantum Random Feature Method for Solving Partial Differential Equations
by: Hu, Junpeng, et al.
Published: (2025)

A Quantum Linear Systems Pathway for Solving Differential Equations
by: Setty, Abhishek
Published: (2025)

Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations
by: Yang, Gengzhi, et al.
Published: (2025)

Efficient Quantum Algorithm for Solving Linear Distributed Delay Differential Equations
by: Setoyama, Wataru, et al.
Published: (2026)

Neural Quantum Spectral Operator Learning for Solving Partial Differential Equations
by: Kim, Chanyoung, et al.
Published: (2026)

Generic and Scalable Differential Equation Solver for Quantum Scientific Computing
by: Sul, Jinhwan, et al.
Published: (2024)

Quantum Differential Equation Solver via Hybrid Oscillator-Qubit Linear Combination of Hamiltonian Simulations
by: Das, Elin Ranjan, et al.
Published: (2026)

Lindbladian Homotopy Analysis Method to Solve Nonlinear Partial Differential Equations
by: Choi, Eunsik, et al.
Published: (2026)

Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization
by: Wang, Ke, et al.
Published: (2026)

Tensor-Programmable Quantum Circuits for Solving Differential Equations
by: Siegl, Pia, et al.
Published: (2025)

Trainable Quantum Spectral Models for Partial Differential Equations
by: Mejia, Gabriel, et al.
Published: (2026)

Quantum Filtering and Stabilization of Dissipative Quantum Systems via Augmented Neural Ordinary Differential Equations
by: Qamar, Shahid, et al.
Published: (2025)

Accelerating Quantum Emitter Characterization with Latent Neural Ordinary Differential Equations
by: Proppe, Andrew H., et al.
Published: (2024)

Efficient Quantum Simulation for Nonlinear Stochastic Differential Equations
by: Li, Xiangyu, et al.
Published: (2026)

Quantum Linear Multistep Method for Using a Quantum Oracle with Differential Equations
by: Park, Kyoung Keun, et al.
Published: (2025)

Quantum Neural Physics: Solving Partial Differential Equations on Quantum Simulators using Quantum Convolutional Neural Networks
by: Zhai, Jucai, et al.
Published: (2026)

Quantum Solvers for Nonlinear Matrix Equations in Quantum Chemistry
by: Rodenas-Ruiz, Pablo, et al.
Published: (2026)

Measurement Schemes for Quantum Linear Equation Solvers
by: Patterson, Andrew, et al.
Published: (2024)

A Quantum Algorithm for Dynamic Mode Decomposition Integrated with a Quantum Differential Equation Solver
by: Mizuno, Yuta, et al.
Published: (2023)

Variational Quantum Simulation of Partial Differential Equations: Applications in Colloidal Transport
by: Leong, Fong Yew, et al.
Published: (2023)

Constant-Factor Improvements in Quantum Algorithms for Linear Differential Equations
by: Pocrnic, Matthew, et al.
Published: (2025)

Solving Fractional Differential Equations on a Quantum Computer: A Variational Approach
by: Leong, Fong Yew, et al.
Published: (2024)

Qubit-Efficient Quantum Algorithm for Linear Differential Equations
by: Fang, Di, et al.
Published: (2025)

Fast and Flexible Quantum-Inspired Differential Equation Solvers with Data Integration
by: Arenstein, Lucas, et al.
Published: (2025)

Quantum Algorithm For Solving Nonlinear Algebraic Equations
by: Nghiem, Nhat A., et al.
Published: (2024)

Solving Differential Equation with Quantum-Circuit Enhanced Physics-Informed Neural Networks
by: Soni, Rachana
Published: (2025)

Solving Differential-Algebraic Equations in Power System Dynamic Analysis with Quantum Computing
by: Tran, Huynh T. T., et al.
Published: (2023)

Explicit Quantum Circuits for Simulating Linear Differential Equations via Dilation
by: Park, Seonggeun
Published: (2025)

Boundary Treatment for Variational Quantum Simulations of Partial Differential Equations on Quantum Computers
by: Over, Paul, et al.
Published: (2024)

Variational Quantum Framework for Partial Differential Equation Constrained Optimization
by: Surana, Amit, et al.
Published: (2024)

H-DES: a Quantum-Classical Hybrid Differential Equation Solver
by: Jaffali, Hamza, et al.
Published: (2024)

Self-Adaptive Physics-Informed Quantum Machine Learning for Solving Differential Equations
by: Setty, Abhishek, et al.
Published: (2023)

Solving the Nonlinear Vlasov Equation on a Quantum Computer
by: Vaszary, Tamás, et al.
Published: (2024)

Quantum Iterative Methods for Solving Differential Equations with Application to Computational Fluid Dynamics
by: Williams, Chelsea A., et al.
Published: (2024)