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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
A unifying framework for quantum algorithms for time-dependent non-unitary dynamics
Xiaojing Dong, Chuwen Ma, Yizhe Peng +1
We present an improved autonomization method for quantum simulation of time-dependent homogeneous dissipative linear systems, combining a clock-variable reformulation with Schrödin…
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…