Time-dependent Hamiltonian Simulation via Magnus Expansion: Algorithm and Superconvergence
Fuente:
arXiv
Saved in:
| Main Authors: | Fang, Di, Liu, Diyi, Sarkar, Rahul |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
High-order Magnus Expansion for Hamiltonian Simulation
by: Fang, Di, et al.
Published: (2025)
by: Fang, Di, et al.
Published: (2025)
Discrete Superconvergence Analysis for Quantum Magnus Algorithms of Unbounded Hamiltonian Simulation
by: Borns-Weil, Yonah, et al.
Published: (2025)
by: Borns-Weil, Yonah, et al.
Published: (2025)
Superconvergence of High-order Magnus Quantum Algorithms
by: Fang, Di, et al.
Published: (2025)
by: Fang, Di, et al.
Published: (2025)
Block encoding with low gate count for second-quantized Hamiltonians
by: Liu, Diyi, et al.
Published: (2025)
by: Liu, Diyi, et al.
Published: (2025)
Qubit-Efficient Quantum Algorithm for Linear Differential Equations
by: Fang, Di, et al.
Published: (2025)
by: Fang, Di, et al.
Published: (2025)
Arbitrary High Order Low-rank Completely Positive and Trace Preserving (CPTP) Schemes for Lindblad Equations with Time-dependent Hamiltonian
by: Hu, Jiuhua, et al.
Published: (2025)
by: Hu, Jiuhua, et al.
Published: (2025)
Infinite-dimensional Extension of the Linear Combination of Hamiltonian Simulation: Theorems and Applications
by: Lu, Rundi, et al.
Published: (2025)
by: Lu, Rundi, et al.
Published: (2025)
Convergence of the Cumulant Expansion and Polynomial-Time Algorithm for Weakly Interacting Fermions
by: Chen, Hongrui, et al.
Published: (2025)
by: Chen, Hongrui, et al.
Published: (2025)
MLMC-qDRIFT: Multilevel Variance Reduction for Randomized Quantum Hamiltonian Simulation
by: Mohammadipour, Pegah, et al.
Published: (2026)
by: Mohammadipour, Pegah, et al.
Published: (2026)
Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof
by: Fang, Di, et al.
Published: (2025)
by: Fang, Di, et al.
Published: (2025)
Laplace transform based quantum eigenvalue transformation via linear combination of Hamiltonian simulation
by: An, Dong, et al.
Published: (2024)
by: An, Dong, et al.
Published: (2024)
Uniform observable error bounds of Trotter formulae for the semiclassical Schrödinger equation
by: Borns-Weil, Yonah, et al.
Published: (2022)
by: Borns-Weil, Yonah, et al.
Published: (2022)
Quantum Circuit Encodings of Polynomial Chaos Expansions
by: Aftab, Junaid, et al.
Published: (2025)
by: Aftab, Junaid, et al.
Published: (2025)
Quantum Hamiltonian Learning for the Fermi-Hubbard Model
by: Ni, Hongkang, et al.
Published: (2023)
by: Ni, Hongkang, et al.
Published: (2023)
Multi-product Hamiltonian simulation with explicit commutator scaling
by: Aftab, Junaid, et al.
Published: (2024)
by: Aftab, Junaid, et al.
Published: (2024)
Fourier transform-based linear combination of Hamiltonian simulation
by: Huang, Xi, et al.
Published: (2025)
by: Huang, Xi, et al.
Published: (2025)
Structure-preserving quantum algorithms for linear and nonlinear Hamiltonian systems
by: Wu, Hsuan-Cheng, et al.
Published: (2024)
by: Wu, Hsuan-Cheng, et al.
Published: (2024)
Schrödingerization based Quantum Circuits for Maxwell's Equation with time-dependent source terms
by: Ma, Chuwen, et al.
Published: (2024)
by: Ma, Chuwen, et al.
Published: (2024)
On the Schrödingerization method for linear non-unitary dynamics with optimal dependence on matrix queries
by: Jin, Shi, et al.
Published: (2025)
by: Jin, Shi, et al.
Published: (2025)
Sign Embedding Quantum Algorithms for Matrix Equations and Matrix Functions
by: Wang, Yanqiao, et al.
Published: (2026)
by: Wang, Yanqiao, et al.
Published: (2026)
An Efficient Quantum Circuit for Block Encoding a Pairing Hamiltonian
by: Liu, Diyi, et al.
Published: (2024)
by: Liu, Diyi, et al.
Published: (2024)
Multi-level quantum signal processing with applications to ground state preparation using fast-forwarded Hamiltonian evolution
by: Dong, Yulong, et al.
Published: (2024)
by: Dong, Yulong, et al.
Published: (2024)
Detailed Error Analysis of the HHL Algorithm
by: Phillips, Xinbo Li Christopher
Published: (2024)
by: Phillips, Xinbo Li Christopher
Published: (2024)
Quantum Gibbs sampling through the detectability lemma
by: Fang, Di, et al.
Published: (2026)
by: Fang, Di, et al.
Published: (2026)
Simulating Clifford Circuits with Gaussian Elimination
by: Pang, Yuchen, et al.
Published: (2025)
by: Pang, Yuchen, et al.
Published: (2025)
Quantum Multigrid Algorithm for Finite Element Problems
by: Raisuddin, Osama Muhammad, et al.
Published: (2024)
by: Raisuddin, Osama Muhammad, et al.
Published: (2024)
Superconvergence in finite element method by smoothing
by: Li, Yuwen, et al.
Published: (2026)
by: Li, Yuwen, et al.
Published: (2026)
Quantum algorithm for linear non-unitary dynamics with near-optimal dependence on all parameters
by: An, Dong, et al.
Published: (2023)
by: An, Dong, et al.
Published: (2023)
Quantum-Inspired Solver for Simulating Material Deformations
by: Ali, Mazen, et al.
Published: (2025)
by: Ali, Mazen, et al.
Published: (2025)
Dynamically Optimal Unraveling Schemes for Simulating Lindblad Equations
by: Cao, Yu, et al.
Published: (2025)
by: Cao, Yu, et al.
Published: (2025)
Superconvergent Discontinuous Galerkin Method for the Scalar Teukolsky Equation on Hyperboloidal Domains: Efficient Waveform and Self-Force Computation
by: Vishal, Manas, et al.
Published: (2025)
by: Vishal, Manas, et al.
Published: (2025)
Quantum Error Detection For Early Term Fault-Tolerant Quantum Algorithms
by: Ginsberg, Tom, et al.
Published: (2025)
by: Ginsberg, Tom, et al.
Published: (2025)
Analysis of Hessian Scaling for Local and Global Costs in Variational Quantum Algorithm
by: Huang, Yihan, et al.
Published: (2026)
by: Huang, Yihan, et al.
Published: (2026)
Modeling of electronic dynamics in twisted bilayer graphene
by: Kong, Tianyu, et al.
Published: (2023)
by: Kong, Tianyu, et al.
Published: (2023)
Quantum simulation of the Fokker-Planck equation via Schrodingerization
by: Jin, Shi, et al.
Published: (2024)
by: Jin, Shi, et al.
Published: (2024)
Hamiltonian Learning at Heisenberg Limit for Hybrid Quantum Systems
by: Zhang, Lixing, et al.
Published: (2025)
by: Zhang, Lixing, et al.
Published: (2025)
Classical optimization algorithms for diagonalizing quantum Hamiltonians
by: Ko, Taehee, et al.
Published: (2025)
by: Ko, Taehee, et al.
Published: (2025)
Quantum Circuits for partial differential equations via Schrödingerisation
by: Hu, Junpeng, et al.
Published: (2024)
by: Hu, Junpeng, et al.
Published: (2024)
Quantum Circuits for the heat equation with physical boundary conditions via Schrodingerisation
by: Jin, Shi, et al.
Published: (2024)
by: Jin, Shi, et al.
Published: (2024)
Approximate Contraction of Arbitrary Tensor Networks with a Flexible and Efficient Density Matrix Algorithm
by: Ma, Linjian, et al.
Published: (2024)
by: Ma, Linjian, et al.
Published: (2024)
Similar Items
-
High-order Magnus Expansion for Hamiltonian Simulation
by: Fang, Di, et al.
Published: (2025) -
Discrete Superconvergence Analysis for Quantum Magnus Algorithms of Unbounded Hamiltonian Simulation
by: Borns-Weil, Yonah, et al.
Published: (2025) -
Superconvergence of High-order Magnus Quantum Algorithms
by: Fang, Di, et al.
Published: (2025) -
Block encoding with low gate count for second-quantized Hamiltonians
by: Liu, Diyi, et al.
Published: (2025) -
Qubit-Efficient Quantum Algorithm for Linear Differential Equations
by: Fang, Di, et al.
Published: (2025)