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10/06/2022
Learning many-body Hamiltonians with Heisenberg-limited scaling
Learning a many-body Hamiltonian from its dynamics is a fundamental prob...
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08/16/2022
Uniform observable error bounds of Trotter formulae for the semiclassical Schrödinger equation
By no fast-forwarding theorem, the simulation time for the Hamiltonian e...
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08/14/2022
Time-marching based quantum solvers for time-dependent linear differential equations
The time-marching strategy, which propagates the solution from one time ...
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05/04/2022
Asymptotic analysis of diabatic surface hopping algorithm in the adiabatic and non-adiabatic limits
Surface hopping algorithms, as an important class of quantum dynamics si...
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05/02/2022
Efficient quantum algorithm for nonlinear reaction-diffusion equations and energy estimation
Nonlinear differential equations exhibit rich phenomena in many fields b...
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11/04/2021
Time-dependent Hamiltonian Simulation of Highly Oscillatory Dynamics
We propose a simple quantum algorithm for simulating highly oscillatory ...
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08/18/2021
Observable Error Bounds of the Time-splitting Scheme for Quantum-Classical Molecular Dynamics
Quantum-classical molecular dynamics, as a partial classical limit of th...
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05/31/2021
Parallel transport dynamics for mixed quantum states with applications to time-dependent density functional theory
Direct simulation of the von Neumann dynamics for a general (pure or mix...
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12/24/2020