- #71
kimbyd
Science Advisor
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You're right, my use of language is a little bit sloppy. The difficulty is in correlating the quantum mechanics notion of a "pure state" and the plain language of a "definite state".PeterDonis said:This doesn't seem right, since whether or not a state is a superposition is basis dependent, but interference is an observed phenomenon so it can't be basis dependent.
After collapse, the measured state of a given quantum system doesn't change in the basis which was measured (note: the state will evolve with time, but won't behave as if it had any components that weren't the value measured).
So the question is: how do we represent a system where a measurement has occurred, but we don't know what the result of that measurement is? The answer is typically an uncorrelated mixed state. Which is also the state you get after complete decoherence. Such an uncorrelated mixed state is the equivalent, therefore, of saying, "This system is definitely in one state or the other, but I don't know which."
Going back to the Wigner's friend idea, the quantum effects there should be limited by the sizes of the systems. Attempting to unitarily reverse the decoherence can only work up to a point. Any such attempt will naturally be pushing up against thermodynamics, and thus will be of limited success as the system gets more complex.