So I recently came across this paper and http://arxiv.org/abs/1107.5849 which seemed relevant to us but which I really don’t have time to read right now, not least due to the fact that I don’t actually know anything of quantum information theory and so would need a bit more background to actually understand it.
The reason I thought it relevant was—well, since I began to understand that QM runs on amplitudes, not probabilities, it’s bothered me that we fundamentally still use probabilities rather than amplitudes to represent uncertainty. Of course there’s good reasons for doing this (Savage...), it’s good enough most of the time, and it’s not at all clear how amplitudes could sensibly be assigned in most cases, but it still bugs me. I was wondering if this paper did anything to elucidate how such a setup might work? Because it seems to treat how you would go about conditioning on an event, and the lack of being able to do so seems a more fundamental obstacle than the ones I listed above.
If not, perhaps it’s still relevant to us for other reasons anyway. :)
So I recently came across this paper and http://arxiv.org/abs/1107.5849 which seemed relevant to us but which I really don’t have time to read right now, not least due to the fact that I don’t actually know anything of quantum information theory and so would need a bit more background to actually understand it.
The reason I thought it relevant was—well, since I began to understand that QM runs on amplitudes, not probabilities, it’s bothered me that we fundamentally still use probabilities rather than amplitudes to represent uncertainty. Of course there’s good reasons for doing this (Savage...), it’s good enough most of the time, and it’s not at all clear how amplitudes could sensibly be assigned in most cases, but it still bugs me. I was wondering if this paper did anything to elucidate how such a setup might work? Because it seems to treat how you would go about conditioning on an event, and the lack of being able to do so seems a more fundamental obstacle than the ones I listed above.
If not, perhaps it’s still relevant to us for other reasons anyway. :)