One Eternal Day assembles material from a number of sources on how nationalized health care can lead to rationing which can lead to passive euthanasia. The whole post is worth reading, but I call your attention to what is already happening in England:
From Wesley J. Smith’s blog, Secondhand Smoke, a series of posts describing how rationing actually works in a country that has nationalized health care.
In the UK, utilitarian bioethicists control who gets–and who is denied–treatment via the Orwellian named organization NICE (National Institute for Health and Clinical Excellence). NICE explicitly uses a quality of life judgment (QALY–quality adjusted life year) to determine which patients are worth treating. It has now denied coverage for anti-dementia medications to mild Alzheimer’s sufferers. From the abstract of the story in the British Medical Journal: