What Makes Them Wrong or Right, Neither or Both

Both topics of discussion are known for their controversy. While both regarding the death of an individual, they are presenting the idea that either death is not wanted (the Death Penalty), or death that is desired (Assisted Suicide). My goal is to present the ideas of both.
CAPITAL PUNISHMENT:
Capital Punishment is either positive or negative depending on the person you ask. Though some might think that capital punishment is exclusively for murderers, in some states there are other reasons for the death penalty. These include treason, harming a child (ages vary from younger than 11 to younger than 14), repeated rape, airplane hijacking, or placing a bomb near a bus stop, to name a few.
(For morer information on capital punishment, check out www.deathpenaltyinfo.org)
ASSISTED SUICIDE:
Similar conclusions can be drawn about assisted suicide, because it too involves someone taking the life of another. This is not to be confused with suicide caused by depression or other mental illnesses, but rather desired as a result of a medical condition. (I am not advocating suicide, but rather showing how from a purely medical perspective, it can be justified).
(For more information on assisted suicide, check out www.balancedpolitics.org)
When comparing the pros and cons of both Capital Punishment and Assisted Suicide, I realize that although they may sound like two different topics, I submit that they are not at all that different; they both deal with one person taking away the life of another. But what DOES make them different, or like I mentioned earlier, wrong or right, neither or both? One can argue that the death penalty is a punishment. But what about those death-row inmates who HAVE realized that what they done was wrong, and accept that they should pay for their actions? If they accept this fact and are willing and asking to die, does this make their execution an "assisted suicide"? This brings up the idea that in some cases, death may not be a punishment, in regards to capital punishment, but rather a release, a suicide. So what's the difference? (I am clearly leaving out the obvious argument that in some cases death for capital punishment is unwanted and death for assisted suicde is wanted). Another argument for assisted suicide is life support. If a person is unresponsive, and their will cannot be heard, is it a punishment or murder to take them off life support? Or is it compassionate, assisted suicide?