The Teletransporter Experiment

I feel that if a copy was to be made of me, sent to Mars, and then my old body was destroyed, that I would be a completely different person. I do not feel that I would exist on Mars, but merely a clone of myself would exist. The reason I know this is if an exact replica was made of me on Mars, but my body on Earth was not destroyed, then I would still be on Earth. I would not be living two different lives, because that is impossible. It would obviously be a clone of me on Mars. I do not feel that this experiment would be possible without destroying myself.