Reapplying to same PhD program after one year, should I state I applied the previous year? I was wondering if someone who is reapplying to the same program after it was not accepted the previous year is seen as a negative thing.

If in the application form I am asked if I applied the program in the past, should I state that I did or would that look bad on my application?

Why is this question been asked? And does not really matter what my answer is? The university clearly states that all application material is destroyed after a few months. Thus the admission commitee look at this question?
Lying on an application form is a really bad idea, it would probably destroy any chance you could have to be accepted. So, if the question is asked, you probably should answer truthfully. 

As for why it is asked, it also depends on how a program works. If it's a very competitive program, maybe your application was good, but there were just better candidates than you. In that case, it could be worth applying again. If, on the other hand, the committee just decided that your application was not good enough, then applying again is risky. In any case, you would have to demonstrate that you have significantly improved your application during the last year.