Perhaps we have a misunderstanding. If by "unfortunate accident" you mean an execution, then the way to stop them is to abandon the death penalty. If you are referring to wrongful convictions, there is no way to eliminate that. We are human and mistakes will happen.

I think one way to help reduce it is to attach an certain amount of liability to the prosecutors and investigators. If it can be shown that negligence or incompetence was present in the investigation then those involved should face a penalty. If all reasonable effort was made to ensure a fair trial and an error was made, you do what you can to make the wrong as right was it can be made and make sure it does not happen again.

There is no way to fix dead.

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