If capital punishment is illegal in your state, then the killling of someone by the state for his crimes would not be "state sponsored" because the state doesn't allow it. It would be murder, on the part of the individual doing the action, specifically because it's NOT state sponsored by virtue of it being illegal.
Your claim that started this entire chain of conversation was:
Someone can not be sentenced to "the death penalty" in a state that it's not legal to be sentenced to the death penalty.When someone is sentenced to the death penalty, they are a victim of state-sponsored murder.
If the state is sentencing the person to the death penalty, if the killing is "state sponsored", then it's LEGAL and thus not murder. If the state doesn't sentence people to death, if the state doesn't sponsor the killing, then you can't have an instance of someone being "sentenced to the death penalty" and be a victim to "state sponsored" killing.
That was my whole point. Based on the words YOU ACTUALLY SAID....that they were SENTENCED and it was STATE SPONSORED...the term "murder" is incorrect. It's the same general gripe I have when people continually claim abortion doctors and patients are "murderers".