The first type of counting we became familiar with as a species was done on hands, with shells, and rocks. It was binary, leading us to indicate the existence of something as 'existent (1)', or 'non-existent (0). QM, however, allows for something to possess, or rather, be, in both states simultaneously.
One situation that draws on this, regards Quantum Teleportation. Given two entangled Einstein-Paul-Rosen objects, where one is shipped to a transmitting end, the other two a receiving end, interaction between the object at the transmitting end, and the source object, whose state is being transmitted, generates a classical signal. This signal, interacts with the prepared object, resulting in a copy of the teleported, or transmitted state.