Quantum Algorithms for Nonlinear Dynamics: Revisiting Carleman Linearization with No Dissipative Conditions
Fuente:
arXiv
Saved in:
| Main Authors: | Wu, Hsuan-Cheng, Wang, Jingyao, Li, Xiantao |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Universal Dilation of Linear Itô SDEs: Quantum Trajectories and Lindblad Simulation of Second Moments
by: Wu, Hsuan-Cheng, et al.
Published: (2026)
by: Wu, Hsuan-Cheng, et al.
Published: (2026)
A Residual-Based Quantum Linear System Algorithm with Dynamic Stopping and Applications to Elliptic PDEs
by: Li, Xiantao
Published: (2026)
by: Li, Xiantao
Published: (2026)
Measurement-Efficient Variational Quantum Linear Solver for Carleman-Linearized Nonlinear Dynamics
by: Liu, Yunya, et al.
Published: (2026)
by: Liu, Yunya, et al.
Published: (2026)
Quantum Simulation of Differential-Algebraic Equations with Applications to Unsteady Stokes Flow
by: Wu, Hsuan-Cheng, et al.
Published: (2026)
by: Wu, Hsuan-Cheng, et al.
Published: (2026)
Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization
by: Wang, Ke, et al.
Published: (2026)
by: Wang, Ke, et al.
Published: (2026)
From Linear Differential Equations to Unitaries: A Moment-Matching Dilation Framework with Near-Optimal Quantum Algorithms
by: Li, Xiantao
Published: (2025)
by: Li, Xiantao
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)
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)
Variational Quantum Framework for Nonlinear PDE Constrained Optimization Using Carleman Linearization
by: Gnanasekaran, Abeynaya, et al.
Published: (2024)
by: Gnanasekaran, Abeynaya, et al.
Published: (2024)
Exponential Quantum Speedup for Simulating Classical Lattice Dynamics
by: Li, Xiantao
Published: (2025)
by: Li, Xiantao
Published: (2025)
Toward Efficient End-to-End Quantum Elliptic PDE Solvers: a Multilevel Correction Algorithm for Direct Observable Estimation
by: Li, Xiantao
Published: (2026)
by: Li, Xiantao
Published: (2026)
Auxiliary-Field Quantum Monte Carlo on Quantum Hardware via Unitary Dilation
by: Li, Xiantao
Published: (2026)
by: Li, Xiantao
Published: (2026)
Dissipative Quantum Dynamics in Static Network with Different Topologies
by: Liu, Wei-Yang, et al.
Published: (2026)
by: Liu, Wei-Yang, et al.
Published: (2026)
Quantum Data Loading for Carleman Linearized Systems: Application to the Lattice-Boltzmann Equation
by: Demirdjian, Reuben, et al.
Published: (2026)
by: Demirdjian, Reuben, et al.
Published: (2026)
An Efficient Decomposition of the Carleman Linearized Burgers' Equation
by: Demirdjian, Reuben, et al.
Published: (2025)
by: Demirdjian, Reuben, et al.
Published: (2025)
Quantum Regression Theory and Efficient Computation of Response Functions for Non-Markovian Open Systems
by: Li, Xiantao, et al.
Published: (2025)
by: Li, Xiantao, et al.
Published: (2025)
Direct Analysis of Zero-Noise Extrapolation: Polynomial Methods, Error Bounds, and Simultaneous Physical-Algorithmic Error Mitigation
by: Mohammadipour, Pegah, et al.
Published: (2025)
by: Mohammadipour, Pegah, et al.
Published: (2025)
Nonlinear semigroups with unbounded generators under Carleman linearization
by: Gakkhar, Sitanshu, et al.
Published: (2026)
by: Gakkhar, Sitanshu, et al.
Published: (2026)
Dissipative Dynamics and Active Stabilization of Linear and Nonlinear Waves in Non-PT-Symmetric Harmonic Traps
by: Salerno, Mario
Published: (2026)
by: Salerno, Mario
Published: (2026)
A Quantum Algorithm for Nonlinear Electromagnetic Fluid Dynamics via Koopman-von Neumann Linearization
by: Higuchi, Hayato, et al.
Published: (2025)
by: Higuchi, Hayato, 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)
Simulating Open Quantum Systems Using Hamiltonian Simulations
by: Ding, Zhiyan, et al.
Published: (2023)
by: Ding, Zhiyan, et al.
Published: (2023)
The Phase-Coupled Caldeira-Leggett Model: Non-Markovian Open Quantum Dynamics beyond Linear Dissipation
by: Chang, Ao-Xiang, et al.
Published: (2025)
by: Chang, Ao-Xiang, 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)
by: Wang, Ke, et al.
Published: (2025)
Simulation-assisted learning of open quantum systems
by: Wang, Ke, et al.
Published: (2023)
by: Wang, Ke, et al.
Published: (2023)
A Demonstration of Quantum Circuit Implementation for Obstacle Flow Using Carleman-Linearized Lattice Boltzmann Method
by: Ueno, Kazumasa, et al.
Published: (2026)
by: Ueno, Kazumasa, et al.
Published: (2026)
Quantum Carleman linearisation efficiency in nonlinear fluid dynamics
by: Gonzalez-Conde, Javier, et al.
Published: (2024)
by: Gonzalez-Conde, Javier, et al.
Published: (2024)
Dynamics of Rapidly Rotating Bose-Einstein Quantum Droplets
by: Cheng, Szu-Cheng, et al.
Published: (2023)
by: Cheng, Szu-Cheng, et al.
Published: (2023)
Quantum Dynamical Entropy and Dissipative Information Flows
by: Nichele, Giovanni, et al.
Published: (2026)
by: Nichele, Giovanni, et al.
Published: (2026)
Scaling Quantum Algorithms via Dissipation: Avoiding Barren Plateaus
by: Zapusek, Elias, et al.
Published: (2025)
by: Zapusek, Elias, et al.
Published: (2025)
Nonnormality and Dissipation in Markovian Quantum Dynamics: Implications for Quantum Simulation
by: Daryanoosh, Shakib
Published: (2026)
by: Daryanoosh, Shakib
Published: (2026)
Dynamically Optimal Unraveling Schemes for Simulating Lindblad Equations
by: Cao, Yu, et al.
Published: (2025)
by: Cao, Yu, et al.
Published: (2025)
Reducing Circuit Depth in Lindblad Simulation via Step-Size Extrapolation
by: Mohammadipour, Pegah, et al.
Published: (2025)
by: Mohammadipour, Pegah, et al.
Published: (2025)
Quantum Simulation of Dissipative Energy Transfer via Noisy Quantum Computer
by: Lin, Chin-Yi, et al.
Published: (2023)
by: Lin, Chin-Yi, et al.
Published: (2023)
Metastability in the Dissipative Quantum Rabi Model
by: Xiao, Da-Wu, et al.
Published: (2025)
by: Xiao, Da-Wu, et al.
Published: (2025)
Neural Quantum Propagators for Driven-Dissipative Quantum Dynamics
by: Zhang, Jiaji, et al.
Published: (2024)
by: Zhang, Jiaji, et al.
Published: (2024)
Driven-Dissipative Landau Polaritons: Two Highly Nonlinearly-Coupled Quantum Harmonic Oscillators
by: Mivehvar, Farokh
Published: (2025)
by: Mivehvar, Farokh
Published: (2025)
Nonequilibrium Nonlinear Effects and Dynamical Boson Condensation in a Driven-Dissipative Wannier-Stark Lattice
by: Kosior, Arkadiusz, et al.
Published: (2024)
by: Kosior, Arkadiusz, et al.
Published: (2024)
Quantum algorithms for general nonlinear dynamics based on the Carleman embedding
by: Jennings, David, et al.
Published: (2025)
by: Jennings, David, et al.
Published: (2025)
Conserved Quantities in Linear and Nonlinear Quantum Search
by: Meyer, David A., et al.
Published: (2025)
by: Meyer, David A., et al.
Published: (2025)
Similar Items
-
Universal Dilation of Linear Itô SDEs: Quantum Trajectories and Lindblad Simulation of Second Moments
by: Wu, Hsuan-Cheng, et al.
Published: (2026) -
A Residual-Based Quantum Linear System Algorithm with Dynamic Stopping and Applications to Elliptic PDEs
by: Li, Xiantao
Published: (2026) -
Measurement-Efficient Variational Quantum Linear Solver for Carleman-Linearized Nonlinear Dynamics
by: Liu, Yunya, 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 Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization
by: Wang, Ke, et al.
Published: (2026)