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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…