More precisely, the “no-cloning theorem” of quantum mechanics implies that one cannot replicate the exact quantum state of a clump of matter in a second clump of matter (although it is possible to “teleport” the exact quantum state by transmitting its information, provided one is willing to mess up the original).

However, although no one knows for sure, it seems likely that the operations of consciousness are purely “classical” in the sense that the exact quantum state is not needed (Roger Penrose’s ideas not withstanding).