This question all comes down to your opinion of what makes a person a person, whether that means we have something greater than the collection of our atoms, or whether we are simply the emergent outcome of the complex arrangement of atoms. If you subscribe to the former then you also need to believe that this machine is somehow capable of either transporting/transplanting that "soul" for lack of a better expression. Where if you subscribe to the latter than this is most certainly a suicide cloning machine.

I personally subscribe to the idea that consciousness is an emergent property of complexity. Given a sufficiently large enough series of inputs you can observe new and unexpected outputs that appear to be on higher orders of complexity than their inputs. This response is an example of that, from electrons flowing through transistors we end up with operating systems, hardware IO, web browsers, networking protocols, ASCII standards, font rendering, etc. All of that complexity emerges from a massive amount of on/off switches arranged in patterns over time.

Following this chain of reasoning I believe that making an exact duplicate of me down to the state of each atom is no different than that entity being me, however as a conscious being with human ethics and morals I put value in the singularity of my existence, and so a plurality of Zetaphor is something I find undesirable as it fundamentally challenges my perception of what it means to be myself.

So assuming the entity leaving the transporter is me, there's two ways to approach the way a machine like this could operate:

• It reads my state in its entirety and then destroys (or encodes for transport) that state
• Or it's creating the new instance of me bit by bit as it reads my current state

That means one of two things, either there is a brief moment of time where two identical copies of me are in the universe, or there is a period of time where zero complete copies of me exist in the universe. So either I stopped existing momentarily and then was recreated from scratch (death and clone birth), or I existed in two places at once and then died in one (cloning and suicide).