Please read "An Innocent Man" true story by John Grisham. Innocent People are convicted and killed. Devastating!!
Yes, people who commit horrid acts of violence should be punished BUT.... be sure without a shadow of doubt that the person you are punishing is the right person.
One wrong conviction is WAY WAY TOO many.
I think the people who actually convict the wrong person should die in the same manner. It is in human what people do to others and get by with.