.Scott said:
Is it possible for something that can record and retain its history (such as a cat) ever be in a superposition of states?
What does "record and retain its history" mean?
Also, "superposition" is the wrong word to use here. See below.
.Scott said:
Like the particle in a double slit experiment, so long as there is which-way information - either in the particle, the apparatus, or the environment - no evidence of super-positioning will exists.
What happens in the double slit experiment without which-way information is interference, not superposition. But it's interference between alternatives that are not macroscopically distinguishable. It's not properly called superposition because superposition is basis dependent, but interference is not--it's an observable result of the experiment.
In the case of the cat, if the "alive" and "dead" alternatives interfered with each other, that would be interference between alternatives that
were macroscopically distinguishable. It would be like getting an interference pattern in the double slit experiment
with which-way information, which of course does not occur.
.Scott said:
There is a really nifty experiment by Scully, Englert, Walther (which seems to lie behind paywalls) where the which-way information for an atomic double slit experiment is captured and then deliberately obscured.
This is just the double slit version of a quantum eraser experiment, of which there are many. But in all of these experiments, the erasing occurs before any macroscopically distinguishable result is observed. So all of these are just examples of manipulating the internal structure of the experiment to affect whether or not interference can occur.
.Scott said:
what is the problem with things more complicated than a Buckeyball?
The more degrees of freedom there are, the more degrees of freedom need to be kept coherent for interference to occur. For example, in the double slit, the presence of interference when there is no which-way information depends on the waves through each slit being coherent--i.e., having a definite phase relationship. That's why the sources in these experiments have to be carefully designed and controlled, and that gets more and more difficult as the number of degrees of freedom in the source goes up, since coherence needs to be maintained among all of the degrees of freedom. It also gets more and more difficult to eliminate all interactions with the external environment that can destroy coherence.