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quant-ph2023★ 1 cited
Dilation theorem via Schrödingerisation, with applications to the quantum simulation of differential equations
Junpeng Hu, Shi Jin, Nana Liu +1
Nagy's unitary dilation theorem in operator theory asserts the possibility of dilating a contraction into a unitary operator. When used in quantum computing, its practical implemen…
math.NA2023
Quantum Algorithms for Multiscale Partial Differential Equations
Junpeng Hu, Shi Jin, Lei Zhang
Partial differential equation (PDE) models with multiple temporal/spatial scales are prevalent in several disciplines such as physics, engineering, and many others. These models ar…