Thanks to these abilities, they can already topple complex linear differential equations exponentially faster than classical machines. Researchers have long hoped they could similarly tame nonlinear ...

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 ...

QLSP refers to the problem of solving linear systems of equations using quantum computing. Solutions to the QLSP often rely on the quantumization of classical linear algebra algorithms used in ...

Quantum Algorithm for Linear Systems of Equations by Aram W. Harrow, Avinatan Hassidim, and Seth Lloyd Solving linear systems of equations is a common problem that arises both on its own and as a ...

SIKE was a contender for post-quantum-computing encryption. It took researchers an hour and a single PC to break it.

For simple systems of linear equations, Harrow and colleagues showed that their algorithm can be exponentially faster than the best solving methods that use a classical computer. One important caveat, ...

The linearity is a crucial part of the algorithm because it makes some of the feedback possible for training. The best encryption algorithms, though, were designed to be non-linear.

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 ...