Paedophilia is one of the most terrible crimes against humanity. However, I would not recommend that accused paedophiles face the death penalty, because they legal system is not 100 percent accurate. Once someone is put to death, there is no way that the action can be reversed. Paedophiles deserve strict punishment that will keep children safe, but the death penalty isn't the answer.
It would be completely asinine to convict anyone accused of pedophilia to death. First of all, paraphilias are medical ailments, and to sentence one to death over a desire they cannot control would be akin to sentencing someone to death for smoking or hoarding. Additionally, condeming the accused is a great way to relive the Salem Witch Trials.
Pedophiles should not face the death penalty because some pedophiles have a mental disorder that causes their pedophilia. While their actions and crimes against children are horrible, the death penalty is generally reserved for those who commit murder, so the punishment be cruel and unusual and would not fit the crime.
This question is troubling because not many countries employ the innocent until proven guilty mantra. In these cases then, accused can be correlated with guilty and then a person accused of being a pedophile could face the death penalty and actually be innocent. However, I do think that those convicted under a fair trial of being a pedophile should face death penalty.