The most famous quantum linear system solving algorithm is the Harrow-Hassidim-Lloyd (HHL) algorithm, which accelerates the solution of linear systems through quantum superposition and interference.

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Sometimes, it’s easy for a computer to predict the future. Simple phenomena, such as how sap flows down a tree trunk, are straightforward and can be captured in a few lines of code using what ...

Efficient algorithms can solve large, “N by N” systems (systems having N linear equations and N unknowns) by computer.

This is a preview. Log in through your library . Abstract A sequential algorithm for solving a system of nonlinear equations based on the number-theoretic method is proposed. In order to illustrate ...

This is a preview. Log in through your library . Abstract Based on the work of paper [1], we propose a modified Levenberg-Marquardt algoithm for solving singular system of nonlinear equations F(x) = 0 ...

This algorithm is based on a combination of Variational Quantum Algorithms (VQA) and the classical shadow framework, overcoming the hardware resource bottlenecks of traditional quantum linear solver ...