  We present a quantum circuit with measurements and post-selection that
exhibits a panoply of space- and/or time-ordered phases, from ferromagnetic
order to spin-density waves to time crystals. Unlike the time crystals that
have been found in unitary models, those that occur here are
\emph{incommensurate} with the drive frequency. The period of the
incommensurate time-crystal phase may be tuned by adjusting the circuit
parameters. We demonstrate that the phases of our quantum circuit, including
the inherently non-equilibrium dynamical ones, correspond to
complex-temperature equilibrium phases of the exactly solvable square-lattice
anisotropic Ising model.
