Depends, if the crime is murder how do you count the harm caused by ending someone's near-infinite life?
The retributive aspect of punishment doesn't attempt to compensate directly for harm to the victim; it attempts to give the people affected by the crime fuzzies by doing bad things to the perpetrator. The victim or victims can't be accounted for in this dimension of the problem; they're dead and cannot receive fuzzies. Hence the qualification.
I haven't fully worked out my theory of deterrence, but the crude first approximation, as briefly discussed here, is that the disutility to the criminal of the punishment should be greater than the utility they received from committing the crime, adjusted for things like probability of getting caught.
That sounds reasonable, and I think it's consistent with my model.
If someone is sentenced to life in prison or the death penalty, should they also be prohibited from signing up for cryonics? Specifically, I'm referring to people like these: http://en.wikipedia.org/wiki/List_of_United_States_death_row_inmates
I am not talking about providing it for them, just allowing them to sign up for it provided they can somehow get enough money together and allowing a response team into the prison to retrieve the body after the prisoner has died or been executed by lethal injection. I think they should be allowed access to cryonics, because we don't know enough yet about the brain to determine how much of their criminal behavior is due to mental illness/disorder and how much is due to free will. It may be possible to diagnose and cure people like Jeffrey Dahmer in the future before they commit any crimes, or to cure those already in prison such that they won't commit any more crimes.
As cryonics gets more and more popular, this will become an issue, especially when the first death row inmate wants to sign up for it.