algorithms New Algorithm Breaks Speed Limit for Solving Linear Equations By harnessing randomness, a new algorithm achieves a fundamentally novel — and faster — way of performing one of the most basic ...

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.

Two teams found different ways for quantum computers to process nonlinear systems by first disguising them as linear ones.

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

These are equations which, by processing huge amounts of micro-data, can predict our behaviour - but are they for better or worse?

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 ...