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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…
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…
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…
Investigation on a quantum algorithm for linear differential equations
Xiaojing Dong, Yizhe Peng, Qili Tang +2
Ref.[BCOW17] introduced a pioneering quantum approach (coined BCOW algorithm) for solving linear differential equations with optimal error tolerance. Originally designed for a spec…