suppose that quantum teleportation of a macroscopic composite object, like say, a grain of rock, was physically and technologically possible
The traditional teleportation scheme would have to prepare a pair of entangled 'blank' systems ahead of time (A and B), and then make a complete set of 'comparison measurements' between the grain to be teleported and A, such that the measurements do not measure the individual states of the grain, but only how they compare to a "corresponding" (whatever that might mean) state of the blank system A.
So, the information about comparisons is sent back to the carrier of blank system B via a classical information channel, which then is used somehow to complete the teleportation of the grain object at B
This part is what I don't understand: how does the carrier of B uses the classical information to 'restore' the grain into its blank system B?
Does the carrier have to actively interact with their blank system B in some specific way prescribed by the classical information?