1 citations · 1 across the 5 of their papers we have counts for
5 papers
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…
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…
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…