A quantum measurement can be nonlocal in a way that goes beyond the
nonlocality of the states associated with its outcomes. For example, it can
happen that an orthogonal measurement on a pair of spatially separated objects
cannot be performed locally, even though the states it distinguishes are all
unentangled. Any measurement on such a pair can be performed locally,
though, if enough entanglement is provided as a resource. In this talk I present
bounds on the minimum amount of entanglement needed for a certain class of
measurements. In most of these cases, this amount exceeds the average
entanglement of the states associated with the outcomes.