Cover Image

Qubit-Efficient Quantum Algorithm for Linear Differential Equations

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Fang, Di, George, David Lloyd, Tong, Yu
Format:	Preprint
Published:	2025
Subjects:	Quantum Physics Numerical Analysis
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Superconvergence of High-order Magnus Quantum Algorithms
by: Fang, Di, et al.
Published: (2025)

Quantum Gibbs sampling through the detectability lemma
by: Fang, Di, et al.
Published: (2026)

Discrete Superconvergence Analysis for Quantum Magnus Algorithms of Unbounded Hamiltonian Simulation
by: Borns-Weil, Yonah, et al.
Published: (2025)

Sign Embedding Quantum Algorithms for Matrix Equations and Matrix Functions
by: Wang, Yanqiao, et al.
Published: (2026)

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

Time-dependent Hamiltonian Simulation via Magnus Expansion: Algorithm and Superconvergence
by: Fang, Di, et al.
Published: (2024)

Efficient Variational Quantum Linear Solver for Structured Sparse Matrices
by: Gnanasekaran, Abeynaya, et al.
Published: (2024)

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

Efficient Quantum Access Model for Sparse Structured Matrices using Linear Combination of Things
by: Gnanasekaran, Abeynaya, et al.
Published: (2025)

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

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

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

Quantum Recurrent Neural Networks with Encoder-Decoder for Time-Dependent Partial Differential Equations
by: Chen, Yuan, et al.
Published: (2025)

Quantum Error Detection For Early Term Fault-Tolerant Quantum Algorithms
by: Ginsberg, Tom, et al.
Published: (2025)

Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof
by: Fang, Di, et al.
Published: (2025)

Quantum Multigrid Algorithm for Finite Element Problems
by: Raisuddin, Osama Muhammad, et al.
Published: (2024)

Schrödingerization based Quantum Circuits for Maxwell's Equation with time-dependent source terms
by: Ma, Chuwen, et al.
Published: (2024)

Uniform observable error bounds of Trotter formulae for the semiclassical Schrödinger equation
by: Borns-Weil, Yonah, et al.
Published: (2022)

An Efficient Quantum Approximate Optimization Algorithm with Fixed Linear Ramp Schedule for Truss Structure Optimization
by: Xiao, Junsen, et al.
Published: (2025)

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

Quantum Adaptive Search: A Hybrid Quantum-Classical Algorithm for Global Optimization of Multivariate Functions
by: Intoccia, G., et al.
Published: (2025)

High-order Magnus Expansion for Hamiltonian Simulation
by: Fang, Di, et al.
Published: (2025)

Analysis of Hessian Scaling for Local and Global Costs in Variational Quantum Algorithm
by: Huang, Yihan, et al.
Published: (2026)

Resource Efficient Boolean Function Solver on Quantum Computer
by: Li, Xiang, et al.
Published: (2023)

Solving 2D Black Scholes Equation via Hermitian Block Embedding and Generalised Quantum Signal Processing
by: Greenwell, James W., et al.
Published: (2026)

Approximate Contraction of Arbitrary Tensor Networks with a Flexible and Efficient Density Matrix Algorithm
by: Ma, Linjian, et al.
Published: (2024)

Asymptotic Error Bounds and Fractional-Bit Design for Fixed-Point Grover's Quantum Algorithm Emulation
by: Choi, Seonghyun, et al.
Published: (2025)

Classical Optimization Strategies for Variational Quantum Algorithms: A Systematic Study of Noise Effects and Parameter Efficiency
by: Bezděk, Tomáš, et al.
Published: (2025)

Quantum simulation of the Fokker-Planck equation via Schrodingerization
by: Jin, Shi, et al.
Published: (2024)

A Variational Quantum Algorithm for Nonlinear Finite Element Analysis of Hyperelastic Materials
by: Kouskiya, Uditnarayan, et al.
Published: (2026)

Quantum Circuits for the heat equation with physical boundary conditions via Schrodingerisation
by: Jin, Shi, et al.
Published: (2024)

Quantum medical image encoding and compression using Fourier-based methods
by: Ko, Taehee, et al.
Published: (2025)

Denoising Gradient Descent in Variational Quantum Algorithms
by: Simon, Lars, et al.
Published: (2024)

Differentiable Quantum Computing for Large-scale Linear Control
by: Clayton, Connor, et al.
Published: (2024)

A Linear Combination of Unitaries Decomposition for the Laplace Operator
by: Hogancamp, Thomas, et al.
Published: (2026)

A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations
by: Zhuang, Xi-Ning, et al.
Published: (2025)

Detailed Error Analysis of the HHL Algorithm
by: Phillips, Xinbo Li Christopher
Published: (2024)

On Efficient Solutions of General Structured Markov Processes in Quantum Computational Environments
by: Kalantzis, Vasileios, et al.
Published: (2024)

An Efficient Quantum Algorithm for Linear System Problem in Tensor Format
by: Wu, Zeguan, et al.
Published: (2024)

Programmable Signal Design for Quantum Phase Estimation via Quantum Signal Processing
by: Jia, Zikang, et al.
Published: (2026)