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Strange7 comments on Welcome to Less Wrong! (July 2012) - Less Wrong
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The end states don't need to be identical, just indistinguishable.
To presume that states non-identical up to thermal noise are indistinguishable seems to presume either lower technology than the sort of thing I have in mind, or that you know something I don't about how two physical states can be non-identical up to thermal noise and yet indistinguishable.