My instinctual reaction is that if the matter is the same at the molecular level, it would be you (since it would be your exact current body in a different position in space).
If it destroyed you and rebuilt a new copy of you, it would kill your version of you, but create a new version of you that was identical in every way. Even this new version of you wouldn't be able to tell the difference.
I have to admit though that I have some problems with the idea that I've not yet resolved.
Let's say I switch every single atom of yours with another identical atom, whilst you stay at the same place. I would say it's still the same person, because there's nothing special about the matter that makes us up.
However, if you teleport and get remade from different atoms, is it still the same person? For some reason, I have my doubts.
Imagine the following:
Scenario 1
Person A walks in, is copied at another location, Person A* walks out, Person A is broken down
In this case, it is clear that A and A* are not the same since they exist independently of each other at the same time; it would be like identical twins or a clone, someone identical to you that is not your version of you.
Scenario 2
Person A walks in, is broken down and copied at another location, Person A* walks out.
This is the same as #1 except for the fact that both versions do not exist at the same time. I therefore see no reason why it would still be you in light of #1.
Scenario 3
Person A walks in and has their exact same matter broken down and sent to the new location. Person A* walks out.
In this case it seems clear that it is still the same person.
And this is where I seem get a contradiction. If I change your matter whilst you're standing in front of me, it's still you, just with different matter. If I move your matter through space, it's still you, just in a different space. If I change both at the same time, then it would seem it would still be you, according to this logic. Yet if I change it whilst you're being teleported, I can't see any way to say if it's still you with different matter in a different place, or a completely new version of you.
EDIT:
Perhaps a resolution is to define an object as something that has a unique solution to the matter it is composed of, its position in spacetime, and has a continuity of existence, and only two of these can change at a time. If I teleport your matter, you still have the same matter despite a different position and a break in continuity so it is still you. If I swap your matter instantly with identical matter, you still have the same position and a continuity, so it is still you. If I do both at the same time, you have neither the same matter, the same position in spacetime, and no continuity so it is not you. This would also mean that we are the same object despite moving around and having our matter change (eating, breathing, countless other biological processes), because we still have a continuity.
In fact, I think doing so would resolve my problems with this and provide a clear answer, and it would seem to work under all circumstances I can think of.
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