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May 8, 2021 at 20:16 comment added wnoise sure. My point is not that this is the right way to view things, but that there are multiple interoperable perspectives, and none of them are the right way. It's not fundamentally more general, just dividing things differently -- which is useful for many problems, of course.
May 5, 2021 at 9:45 comment added ors @wnoise I think this viewpoint can obscure a lot of interesting stuff though, my favourite examples are things like first measuring one observable then measuring a second (incompatible) observable and looking at what the effective observable is you measured the second time. Another thing you can do is take a pair of incompatible observables and ask what observables you can come up with which approximately measure the two of them. Of course a more practical thing is that there is classical noise in the real world, so real measurements we do in the lab are not projection valued observables.
May 4, 2021 at 23:06 comment added wnoise Church of the larger Hilbert space means you only really need to think about projection-valued though. As usual there's lot of different bi-interpretable ways of viewing things foundationally, and which is more useful can depend on the question.
May 4, 2021 at 14:39 history edited ors CC BY-SA 4.0
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May 4, 2021 at 16:35
May 4, 2021 at 14:30 history answered ors CC BY-SA 4.0