  We present efficient circuits that can be used for the phase space tomography
of quantum states. The circuits evaluate individual values or selected averages
of the Wigner, Kirkwood and Husimi distributions. These quantum gate arrays can
be programmed by initializing appropriate computational states. The Husimi
circuit relies on a subroutine that is also interesting in its own right: the
efficient preparation of a coherent state, which is the ground state of the
Harper Hamiltonian.
