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quant-ph2026
Schrödingerization for quantum linear systems problems
Long Zhang, Yin Yang, Yue Yu
We develop a Schrödingerization algorithm for quantum linear systems problems in two higher dimensions. The earlier LC-Schrödingerization approach represents the solution as a time…
quant-ph2026
Linear combination of Schrödingerization for quantum linear systems with optimal matrix-query complexity
Yin Yang, Yue Yu, Long Zhang
Quantum linear systems algorithms (QLSAs) aim to solve linear systems $A\bb{x}=\bb{b}$ exponentially faster than classical methods under certain conditions. In this work, we develo…
quant-ph2026
Quantum algorithms for the fractional Poisson equation via rational approximation
Yin Yang, Yue Yu, Long Zhang +1
This paper presents a quantum algorithm for solving the fractional Poisson equation \((-Δ)^s u = f\) with \(s \in (0,1)\) on bounded domains. The proposed approach combines rationa…