An HHL-Based Quantum-Classical Solver for the Incompressible Navier-Stokes Equations with Approximate QST
Fuente:
arXiv
Saved in:
| Main Authors: | Inger, Moshe, Frankel, Steven |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Schrödinger-Navier-Stokes Equation for the Quantum Simulation of Navier-Stokes Flows
by: Cappelli, Luca, et al.
Published: (2026)
by: Cappelli, Luca, et al.
Published: (2026)
A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations
by: Zhuang, Xi-Ning, et al.
Published: (2025)
by: Zhuang, Xi-Ning, et al.
Published: (2025)
Incompressible Navier-Stokes solve on noisy quantum hardware via a hybrid quantum-classical scheme
by: Song, Zhixin, et al.
Published: (2024)
by: Song, Zhixin, et al.
Published: (2024)
A Hybrid Discrete Exterior Calculus Discretization and Fourier Transform of the Incompressible Navier-Stokes Equations in 3D
by: Abukhwejah, Abdullah, et al.
Published: (2024)
by: Abukhwejah, Abdullah, et al.
Published: (2024)
A fully differentiable GNN-based PDE Solver: With Applications to Poisson and Navier-Stokes Equations
by: Li, Tianyu, et al.
Published: (2024)
by: Li, Tianyu, et al.
Published: (2024)
Multi-stream physics hybrid networks for solving Navier-Stokes equations
by: Sedykh, Aleksandr, et al.
Published: (2025)
by: Sedykh, Aleksandr, et al.
Published: (2025)
Vorticity Packing Effects on Long Time Turbulent Transport in Decaying Two-Dimensional Incompressible Navier-Stokes Fluids
by: Maiti, Snehanshu, et al.
Published: (2025)
by: Maiti, Snehanshu, et al.
Published: (2025)
A Stable and General Quantum Fractional-Step Lattice Boltzmann Method for Incompressible Flows
by: Xiao, Yang, et al.
Published: (2026)
by: Xiao, Yang, et al.
Published: (2026)
Quantum-Inspired Tensor-Network Fractional-Step Method for Incompressible Flow in Curvilinear Coordinates
by: van Hülst, Nis-Luca, et al.
Published: (2025)
by: van Hülst, Nis-Luca, et al.
Published: (2025)
Quantum Lattice Kinetic Scheme for Solving Two-dimensional and Three-dimensional Incompressible Flows
by: Xiao, Yang, et al.
Published: (2025)
by: Xiao, Yang, et al.
Published: (2025)
Approximate Hamiltonian Simulation Algorithm for Efficient Fluid Quantum Simulations
by: Zhang, Zhiyuan, et al.
Published: (2026)
by: Zhang, Zhiyuan, et al.
Published: (2026)
Analytic Solution of the N-Dimensional Incompressible Navier-Stokes Equations
by: Strange, Nathan
Published: (2025)
by: Strange, Nathan
Published: (2025)
A Quantum Linear Systems Pathway for Solving Differential Equations
by: Setty, Abhishek
Published: (2025)
by: Setty, Abhishek
Published: (2025)
Analysis of the Pressure-Velocity boundary conditions for the projection method solution of the incompressible Navier-Stokes Equations
by: Pekker, Leonid, et al.
Published: (2024)
by: Pekker, Leonid, et al.
Published: (2024)
A paradox of the Navier-Stokes turbulence
by: Qin, Shijie, et al.
Published: (2025)
by: Qin, Shijie, et al.
Published: (2025)
Reynolds Averaged Solutions of the Navier-Stokes Equation
by: Glimm, James, et al.
Published: (2023)
by: Glimm, James, et al.
Published: (2023)
Physics-Informed Neural Networks with Complementary Soft and Hard Constraints for Solving Complex Boundary Navier-Stokes Equations
by: Zhou, Chuyu, et al.
Published: (2024)
by: Zhou, Chuyu, et al.
Published: (2024)
Solving Navier-Stokes Equations Using Data-free Physics-Informed Neural Networks With Hard Boundary Conditions
by: Pal, Ritik, et al.
Published: (2025)
by: Pal, Ritik, et al.
Published: (2025)
Demonstration of Scalability and Accuracy of Variational Quantum Linear Solver for Computational Fluid Dynamics
by: Bosco, Ferdin Sagai Don, et al.
Published: (2024)
by: Bosco, Ferdin Sagai Don, et al.
Published: (2024)
Boundary Treatment for Variational Quantum Simulations of Partial Differential Equations on Quantum Computers
by: Over, Paul, et al.
Published: (2024)
by: Over, Paul, et al.
Published: (2024)
Aliasing and phase shifting in pseudo-spectral simulations of the incompressible Navier-Stokes equations
by: Lambert, Clovis, et al.
Published: (2026)
by: Lambert, Clovis, et al.
Published: (2026)
A unified gas-kinetic framework from Boltzmann to Navier-Stokes scales
by: Guo, Zhaoli, et al.
Published: (2025)
by: Guo, Zhaoli, et al.
Published: (2025)
High Resolution Optimized High-Order Schemes for Discretization of Non-Linear Straight and Mixed Second Derivative Terms
by: Chandravamsi, Hemanth, et al.
Published: (2023)
by: Chandravamsi, Hemanth, et al.
Published: (2023)
Quantum Carleman Linearization of the Lattice Boltzmann Equation with Boundary Conditions
by: Bakker, Bastien, et al.
Published: (2023)
by: Bakker, Bastien, et al.
Published: (2023)
Boundary layer stability analysis using the nonlinear One-Way Navier-Stokes approach
by: Sleeman, Michael K., et al.
Published: (2024)
by: Sleeman, Michael K., et al.
Published: (2024)
AeroDiT: Diffusion Transformers for Reynolds-Averaged Navier-Stokes Simulations of Airfoil Flows
by: Wang, Chunyang, et al.
Published: (2024)
by: Wang, Chunyang, et al.
Published: (2024)
Variational Quantum Solutions to the Advection-Diffusion Equation for Applications in Fluid Dynamics
by: Demirdjian, Reuben, et al.
Published: (2022)
by: Demirdjian, Reuben, et al.
Published: (2022)
Quantum Algorithm for Radiative Transfer Equation
by: Igarashi, Asuka, et al.
Published: (2023)
by: Igarashi, Asuka, et al.
Published: (2023)
Quantum Computation of Fluid Dynamics
by: Bharadwaj, Sachin S., et al.
Published: (2020)
by: Bharadwaj, Sachin S., et al.
Published: (2020)
A vectorized Navier-Stokes ensemble direct numerical simulation code for plane parallel flows
by: Nikolaidis, Marios-Andreas
Published: (2023)
by: Nikolaidis, Marios-Andreas
Published: (2023)
Fourth Order Compact Formulation of Navier-Stokes Equations and Driven Cavity Flow at High Reynolds Numbers
by: Erturk, E., et al.
Published: (2004)
by: Erturk, E., et al.
Published: (2004)
Quantum Iterative Methods for Solving Differential Equations with Application to Computational Fluid Dynamics
by: Williams, Chelsea A., et al.
Published: (2024)
by: Williams, Chelsea A., et al.
Published: (2024)
Extensions to the Navier-Stokes-Fourier Equations for Rarefied Transport: Variational Multiscale Moment Methods for the Boltzmann Equation
by: Baidoo, F. A., et al.
Published: (2024)
by: Baidoo, F. A., et al.
Published: (2024)
Variational Quantum Algorithms for Computational Fluid Dynamics
by: Jaksch, Dieter, et al.
Published: (2022)
by: Jaksch, Dieter, et al.
Published: (2022)
Quantum Algorithm for the Advection-Diffusion Equation by Direct Block Encoding of the Time-Marching Operator
by: Over, Paul, et al.
Published: (2024)
by: Over, Paul, et al.
Published: (2024)
Finite difference physics-informed neural networks enable improved solution accuracy of the Navier-Stokes equations
by: Roy, Nityananda, et al.
Published: (2024)
by: Roy, Nityananda, et al.
Published: (2024)
Computing Statistical Properties of Velocity Fields on Current Quantum Hardware
by: Goldack, Miriam, et al.
Published: (2026)
by: Goldack, Miriam, et al.
Published: (2026)
Integer Lattice Gas with a sampling collision operator for the fluctuating Navier-Stokes Equation
by: Seekins, Noah, et al.
Published: (2025)
by: Seekins, Noah, et al.
Published: (2025)
Quantum-Inspired Simulation of 2D Turbulent Rayleigh-Bénard Convection
by: van Hülst, Nis-Luca, et al.
Published: (2026)
by: van Hülst, Nis-Luca, et al.
Published: (2026)
Quantum-Inspired Fluid Simulation of 2D Turbulence with GPU Acceleration
by: Hölscher, Leonhard, et al.
Published: (2024)
by: Hölscher, Leonhard, et al.
Published: (2024)
Similar Items
-
Schrödinger-Navier-Stokes Equation for the Quantum Simulation of Navier-Stokes Flows
by: Cappelli, Luca, et al.
Published: (2026) -
A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations
by: Zhuang, Xi-Ning, et al.
Published: (2025) -
Incompressible Navier-Stokes solve on noisy quantum hardware via a hybrid quantum-classical scheme
by: Song, Zhixin, et al.
Published: (2024) -
A Hybrid Discrete Exterior Calculus Discretization and Fourier Transform of the Incompressible Navier-Stokes Equations in 3D
by: Abukhwejah, Abdullah, et al.
Published: (2024) -
A fully differentiable GNN-based PDE Solver: With Applications to Poisson and Navier-Stokes Equations
by: Li, Tianyu, et al.
Published: (2024)