7 citations · 10 across the 6 of their papers we have counts for
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Quantum Regression Theory and Efficient Computation of Response Functions for Non-Markovian Open Systems
Xiantao Li, Chunhao Wang
Linear response functions are a cornerstone concept in physics as they enable efficient estimation of many dynamical properties. In addition to predicting dynamics of observables u…
Exponential Quantum Speedup for Simulating Classical Lattice Dynamics
Xiantao Li
Simulating large scale lattice dynamics directly is computationally demanding due to the high complexity involved, yet such simulations are crucial for understanding the mechanical…
Structure-preserving quantum algorithms for linear and nonlinear Hamiltonian systems
Hsuan-Cheng Wu, Xiantao Li
Hamiltonian systems of ordinary and partial differential equations are fundamental mathematical models spanning virtually all physical scales. A critical property for the robustnes…
Stochastic Quantum Sampling for Non-Logconcave Distributions and Estimating Partition Functions
Guneykan Ozgul, Xiantao Li, Mehrdad Mahdavi +1
We present quantum algorithms for sampling from non-logconcave probability distributions in the form of . Here, can be written as a finite sum $f(x):…
Implementation of the Density-functional Theory on Quantum Computers with Linear Scaling with respect to the Number of Atoms
Taehee Ko, Xiantao Li, Chunhao Wang
Density-functional theory (DFT) has revolutionized computer simulations in chemistry and material science. A faithful implementation of the theory requires self-consistent calculat…
Quantum Simulation for Partial Differential Equations with Physical Boundary or Interface Conditions
Shi Jin, Xiantao Li, Nana Liu +1
This paper explores the feasibility of quantum simulation for partial differential equations (PDEs) with physical boundary or interface conditions. Semi-discretisation of such prob…