3 papers
math.NA2026
Quantum Implicit-Explicit Schemes for Multiscale Ordinary and Partial Differential Equations via Schrödingerization
Qitong Hu, Xiaoyang He, Shi Jin +1
In this paper, we present a quantum implicit-explicit (IMEX) scheme for multiscale ordinary and partial differential equations whose discretization parameters are independent of th…
quant-ph2025
Quantum Algorithms for Solving Generalized Linear Systems via Momentum Accelerated Gradient and Schrödingerization
Qitong Hu, Xiaoyang He, Shi Jin +1
In this paper, we propose a quantum algorithm that combines the momentum accelerated gradient method with Schrödingerization [S. Jin, N. Liu and Y. Yu, Phys. Rev. Lett, 133 (2024)…
quant-ph2025
Quantum simulation of multiscale linear transport equations via Schrödingerization and exponential integrators
Xiaoyang He, Shi Jin
In this paper, we present two Hamiltonian simulation algorithms for multiscale linear transport equations, combining the Schrödingerization method [S. Jin, N. Liu and Y. Yu, Phys.…