An election without a paper trail of some kind however is one one that is rife for fraud and/or outside interference. You wouldn't want somebody like Donald Trump yelling from the balcony that the election was "rigged" and not be able to refute him.
If your vote is electronic, then how can you absolutely guarantee that there isn't some type of electoral manipulation going on behind the scenes? At least with a paper ballot, they can be counted manually if necessary, and with invigilators from the major parties on hand to make sure that there is no hanky panky going on.
Elections NB has electronic vote counters at each polling station. You fill out your ballot manually, and then insert it into the counting machine to record your vote. The paper ballot however is retained, and if the election is close, then a manual recount can be requested.
I think this is the best of both worlds. The election results come in quickly, because the tabulation is electronic, but there is a manual failsafe in the case of a contested result.
There were no recounts demanded in our most recent election, but in the election immediately before that, Saint John Harbour was decided by something like a five vote margin. The manual recount however resulted in the overturning of only a single ballot, and the election stood. We had a secure election, and a verifiable one too.