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.
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.