Any given material particle having size in the nano range can qualify as a Quantum dot only when its size is sufficiently small for various Quantum effects to be visible,for eg. effects like the Quantum Confinement Effect (band gap variation with particle size), the formation of discrete energy bands, Coulomb Blockade effect etc.
Some people here have described how to define the nanostructure from the viewpoint of "size". However, not only quantum wells, wires, and dots, but also quantum rings (3D confinement like the quantum dots) can be seen as nanostructures used in the intermediate band (IB) solar cells. Of course, they are embedded in some matrix material having the larger band gap. Therefore, I think that you should specify the name of a nanostructure by its shape and properties, as well as the field you work with.