> But it reconstructs a clone of you
This is definitely wrong, there's a no cloning theorem in quantum mechanics [0].
But getting into possible methods of transportation is complicated. QM does allow for teleportation. So you can teleport the exact structure, but not have two copies at each end.
The teleporter could also reassemble you in an inexact way and you then would be a clone (at least conventionally speaking).
But the big question is: If you reconstruct everything in the exact same way is the being that comes out on the other end a different being that went in? This may be completely unverifiable because the being coming out the other end would have all the memories of the being sent in. But because of no cloning, you might be the same being.
Who knows?