Cover Image

A Residual-Based Quantum Linear System Algorithm with Dynamic Stopping and Applications to Elliptic PDEs

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Li, Xiantao
Format:	Preprint
Published:	2026
Subjects:	Quantum Physics
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Toward Efficient End-to-End Quantum Elliptic PDE Solvers: a Multilevel Correction Algorithm for Direct Observable Estimation
by: Li, Xiantao
Published: (2026)

From Linear Differential Equations to Unitaries: A Moment-Matching Dilation Framework with Near-Optimal Quantum Algorithms
by: Li, Xiantao
Published: (2025)

Quantum Algorithms for Nonlinear Dynamics: Revisiting Carleman Linearization with No Dissipative Conditions
by: Wu, Hsuan-Cheng, et al.
Published: (2024)

Exponential Quantum Speedup for Simulating Classical Lattice Dynamics
by: Li, Xiantao
Published: (2025)

Auxiliary-Field Quantum Monte Carlo on Quantum Hardware via Unitary Dilation
by: Li, Xiantao
Published: (2026)

Universal Dilation of Linear Itô SDEs: Quantum Trajectories and Lindblad Simulation of Second Moments
by: Wu, Hsuan-Cheng, et al.
Published: (2026)

Quantum Simulation of Differential-Algebraic Equations with Applications to Unsteady Stokes Flow
by: Wu, Hsuan-Cheng, et al.
Published: (2026)

Quantum Regression Theory and Efficient Computation of Response Functions for Non-Markovian Open Systems
by: Li, Xiantao, et al.
Published: (2025)

Simulating Open Quantum Systems Using Hamiltonian Simulations
by: Ding, Zhiyan, et al.
Published: (2023)

Quantum Linear System Solvers: A Survey of Algorithms and Applications
by: Morales, Mauro E. S., et al.
Published: (2024)

Direct Analysis of Zero-Noise Extrapolation: Polynomial Methods, Error Bounds, and Simultaneous Physical-Algorithmic Error Mitigation
by: Mohammadipour, Pegah, et al.
Published: (2025)

The Algorithm for Solving Quantum Linear Systems of Equations With Coherent Superposition and Its Extended Applications
by: Xia, Qiqing, et al.
Published: (2024)

MLMC-qDRIFT: Multilevel Variance Reduction for Randomized Quantum Hamiltonian Simulation
by: Mohammadipour, Pegah, et al.
Published: (2026)

Quantum Speedups for Markov Chain Monte Carlo Methods with Application to Optimization
by: Ozgul, Guneykan, et al.
Published: (2025)

A New Quantum Linear System Algorithm Beyond the Condition Number and Its Application to Solving Multivariate Polynomial Systems
by: Li, Jianqiang
Published: (2025)

Space-Efficient Quantum Algorithm for Elliptic Curve Discrete Logarithms with Resource Estimation
by: Luo, Han, et al.
Published: (2026)

Quantum Algorithms and Applications for Open Quantum Systems
by: Delgado-Granados, Luis H., et al.
Published: (2024)

New Quantum Algorithm For Solving Linear System of Equations
by: Nghiem, Nhat A.
Published: (2025)

Efficient Optimal Control of Open Quantum Systems
by: He, Wenhao, et al.
Published: (2024)

Elliptic Curves in Continuous-Variable Quantum Systems
by: Aifer, Maxwell, et al.
Published: (2024)

Dynamically Optimal Unraveling Schemes for Simulating Lindblad Equations
by: Cao, Yu, et al.
Published: (2025)

Non-Markovian Noise Mitigation: Practical Implementation, Error Analysis, and the Role of Environment Spectral Properties
by: Wang, Ke, et al.
Published: (2025)

Simulation-assisted learning of open quantum systems
by: Wang, Ke, et al.
Published: (2023)

Reducing Circuit Depth in Lindblad Simulation via Step-Size Extrapolation
by: Mohammadipour, Pegah, et al.
Published: (2025)

Quantum Algorithms for Heterogeneous PDEs: The Neutron Diffusion Eigenvalue Problem
by: Childs, Andrew M., et al.
Published: (2026)

Quantum Algorithms for Solving Generalized Linear Systems via Momentum Accelerated Gradient and Schrödingerization
by: Hu, Qitong, et al.
Published: (2025)

Refined Quantum Algorithms for Principal Component Analysis and Solving Linear System
by: Nghiem, Nhat A.
Published: (2025)

A Quantum Algorithm for Nonlinear Electromagnetic Fluid Dynamics via Koopman-von Neumann Linearization
by: Higuchi, Hayato, et al.
Published: (2025)

Optimised Hybrid Classical-Quantum Algorithm for Accelerated Solution of Sparse Linear Systems
by: Singh, Hakikat
Published: (2024)

Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions
by: Guseynov, Nikita, et al.
Published: (2025)

Low-Rank Variational Quantum Algorithm for the Dynamics of Open Quantum Systems
by: Santos, Sara, et al.
Published: (2024)

Construction of $\varepsilon_{d}$-ASIC-POVMs via $2$-to-$1$ PN functions and the Li bound
by: Cao, Meng, et al.
Published: (2023)

Efficient Fourier-Based Linear Combination of Unitaries and Applications in Quantum Optimization
by: Vazquez, Almudena Carrera, et al.
Published: (2026)

Quantum Homotopy Algorithm for Solving Nonlinear PDEs and Flow Problems
by: Bharadwaj, Sachin S., et al.
Published: (2025)

Quantum Data Loading for Carleman Linearized Systems: Application to the Lattice-Boltzmann Equation
by: Demirdjian, Reuben, et al.
Published: (2026)

An Early Investigation of the HHL Quantum Linear Solver for Scientific Applications
by: Zheng, Muqing, et al.
Published: (2024)

Efficient Quantum Information-Inspired Ansatz for Variational Quantum Eigensolver Algorithm: Applications to Atomic Systems
by: Kalam, Abdul, et al.
Published: (2025)

Linearization Scheme of Shallow Water Equations for Quantum Algorithms
by: Appel, Till, et al.
Published: (2025)

Quantum Kaczmarz Algorithm for Solving Linear Algebraic Equations
by: Nghiem, Nhat A., et al.
Published: (2026)

Hybrid Algorithm of Linear Programming Relaxation and Quantum Annealing
by: Takabayashi, Taisei, et al.
Published: (2023)