  We present a simple new way - called Schrodingerisation - to simulate general
linear partial differential equations via quantum simulation. Using a simple
new transform, referred to as the warped phase transformation, any linear
partial differential equation can be recast into a system of Schrodinger's
equations - in real time - in a straightforward way. This can be seen directly
on the level of the dynamical equations without more sophisticated methods.
This approach is not only applicable to PDEs for classical problems but also
those for quantum problems - like the preparation of quantum ground states,
Gibbs states and the simulation of quantum states in random media in the
semiclassical limit.
