most citedDilation theorem via Schrödingerisation, with applications to the quantum simulation of differential equations

1 citations · 1 across the 2 of their papers we have counts for

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2 papers

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…