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-ph2026
Quantum Simulation of Non-Unitary Dynamics via Amplitude-Phase Separation
Qitong Hu, Shi Jin
Linear non-unitary dynamics arise in open quantum systems, non-Hermitian models, and numerical evolution problems, yet current quantum algorithms do not cleanly separate coherent a…
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)…