  We propose the implementation of Galileo group symmetry operations or, in
general, linear coordinate transformations, in a quantum simulator. With an
appropriate encoding, unitary gates applied to our quantum system give rise to
Galilean boosts or spatial and time parity operations in the simulated
dynamics. This framework provides us with a flexible toolbox that enhances the
versatility of quantum simulation theory, allowing the direct access to
dynamical quantities that would otherwise require full tomography. Furthermore,
this method enables the study of noncausal kinematics and phenomena beyond
special relativity in a quantum controllable system.
