  We show that there are informationally complete joint measurements of two
conjugated observables on a finite quantum system, meaning that they enable to
identify all quantum states from their measurement outcome statistics. We
further demonstrate that it is possible to implement a joint observable as a
sequential measurement. If we require minimal noise in the joint measurement,
then the joint observable is unique. If the dimension d is odd, then this
observable is informationally complete. But if d is even, then the joint
observable is not informationally complete and one has to allow more noise in
order to obtain informational completeness.
