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 earlier chapters discuss complex numbers, average values, Fourier's series and linear differential equations with constant coefficients.

Linear circuits are simple and elegant and remain the foundation of analog and digital circuit design. In fact, no matter how digital or logic intensive a circuit it is, certain fundamental blocks, ...

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 ...