4 papers
Quantum Derivative Pricing for SPDEs via BDSDE Representation
Xinmiao Li, Yanqiao Wang, Rundi Lu +2
We study quantum speedups of derivative pricing for stochastic partial differential equation (SPDE) models through their backward doubly stochastic differential equation (BDSDE) re…
BELT: Block Encoding of Linear Transformation on Density Matrices
Fuchuan Wei, Rundi Lu, Yuguo Shao +3
Linear maps that are not completely positive play a crucial role in the study of quantum information, yet their non-completely positive nature renders them challenging to realize p…
Toward end-to-end quantum simulation for protein dynamics
Zhenning Liu, Xiantao Li, Chunhao Wang +1
Modeling and simulating the protein folding process overall remains a grand challenge in computational biology. We systematically investigate end-to-end quantum algorithms for simu…
Infinite-dimensional Extension of the Linear Combination of Hamiltonian Simulation: Theorems and Applications
Rundi Lu, Hao-En Li, Zhengwei Liu +1
We generalize the Linear Combination of Hamiltonian Simulation (LCHS) formula [An, Liu, Lin, Phys. Rev. Lett. 2023] to simulate time-evolution operators in infinite-dimensional spa…