3 papers
quant-ph2026
A unifying framework for quantum algorithms for time-dependent non-unitary dynamics
Xiaojing Dong, Yizhe Peng, Yue Yu
Quantum algorithms for simulating linear differential equations have attracted growing interest, driven by applications ranging from Hamiltonian dynamics to general non-unitary dyn…
quant-ph2026
Schrödingerization for quantum linear systems problems with near-optimal dependence on matrix queries
Yin Yang, Yue Yu, Long Zhang
We develop a quantum algorithm for linear algebraic equations $ A\bb{x} = \bb{b} $ from the perspective of Schrödingerization-form problems, which are characterized by a system of…
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 \((-Î)^s u = f\) with \(s \in (0,1)\) on bounded domains. The proposed approach combines ration…