Cover Image

From Linear Differential Equations to Unitaries: A Moment-Matching Dilation Framework with Near-Optimal Quantum Algorithms

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Li, Xiantao
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

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)

Variational Quantum Algorithm for Unitary Dilation
by: Li, S. X., et al.
Published: (2025)

A Residual-Based Quantum Linear System Algorithm with Dynamic Stopping and Applications to Elliptic PDEs
by: Li, Xiantao
Published: (2026)

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

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

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

Unitary Dilation Strategy Towards Efficient and Exact Simulation of Non-Unitary Quantum Evolutions
by: Mehta, Aman, et al.
Published: (2025)

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

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

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

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

Near-Optimal Simultaneous Estimation of Quantum State Moments
by: Shi, Xiao, et al.
Published: (2025)

Geometric Complexity of Quantum Channels via Unitary Dilations
by: Acevedo, Alberto, et al.
Published: (2026)

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

Near-Optimal-Time Quantum Algorithms for Approximate Pattern Matching
by: Kociumaka, Tomasz, et al.
Published: (2024)

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

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

Quantum Circuit for Non-Unitary Linear Transformation of Basis Sets
by: Zhu, Guorui, et al.
Published: (2025)

Unitary Quantum Algorithm for the Lattice-Boltzmann Method
by: Wawrzyniak, David, et al.
Published: (2024)

Quantum Algorithm for Reversing Unknown Unitary Evolutions
by: Chen, Yu-Ao, 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)

A Novel Quantum Fourier Ordinary Differential Equation Solver for Solving Linear and Nonlinear Partial Differential Equations
by: Xiao, Yang, et al.
Published: (2025)

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

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

Quantum Kaczmarz Algorithm for Solving Linear Algebraic Equations
by: Nghiem, Nhat A., 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)

Variational Quantum Algorithms for Differential Equations on a Noisy Quantum Computer
by: Schillo, Niclas, et al.
Published: (2024)

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

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

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

Automated Unitary Coupled Cluster Circuit Design via Differentiable Quantum Architecture Search
by: Chen, Jianpeng, et al.
Published: (2026)

Trade-offs between Quantum and Classical Resources in the Linear Combination of Unitaries
by: Wada, Kaito, et al.
Published: (2025)

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

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

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

Near-Optimal Quantum Algorithm for Minimizing the Maximal Loss
by: Wang, Hao, et al.
Published: (2024)

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

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

Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections
by: Schleich, Philipp, et al.
Published: (2025)