Contradiction.

I have been pondering over Aristotle's law of non-contradiction. It is one of the most well known axioms in logic and philosophy. I have been trying to think of a way to disprove this theory though and very few things come to mind. For it is impossible to have 'A' not equal 'A.' But then I started to think about the computers that were designed with quantum mechanics. Because some circuits in such a device could be both on and off at the same time, which was a clear contradiction. But the more I thought about it, I suddenly realized that since it did exist in reality, then it is indeed possible for something to be both on and off at the same time. In this manner, it would no longer be a contradiction, which would allow Aristotle's principle to still be intact.