3 papers
quant-ph2024
Laplace transform based quantum eigenvalue transformation via linear combination of Hamiltonian simulation
Dong An, Andrew M. Childs, Lin Lin +1
Eigenvalue transformations, which include solving time-dependent differential equations as a special case, have a wide range of applications in scientific and engineering computati…
quant-ph2024
A Randomized Method for Simulating Lindblad Equations and Thermal State Preparation
Hongrui Chen, Bowen Li, Jianfeng Lu +1
We study a qDRIFT-type randomized method to simulate Lindblad dynamics by decomposing its generator into an ensemble of Lindbladians, $\mathcal{L} = \sum_{a \in \mathcal{A}} \mathc…
math.NA2016
Computing localized representations of the kohn-sham subspace via randomization and refinement
Anil Damle, Lin Lin, Lexing Ying
Localized representation of the Kohn-Sham subspace plays an important role in quantum chemistry and materials science. The recently developed selected columns of the density matrix…