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by kgwgk
2540 days ago
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QBism doesn't seem "more" than standard QM to me, it seems "less" because it's just standard QM without pretending that the quantum state describes the physical state. There may be some reasons to throw the towel on realism and just shut up and calculate, but it's not like that's a new idea. The operations done to establish from the available information what is the quantum state of a system and to calculate predictions are exactly the same in QBism and standard QM. All the positive-operator-valued-measures stuff works just the same, as far as I can tell, when quantum states are considered representations of reality. If our knowledge is sharp we have a wave function which describes the physical state, otherwise we have a density matrix and we ignore the precise state but we can make predictions about physics. In QBism we have the same predictions (and the same wave function / density matrix but devoid of meaning). I don't completely understand the split 2a/2b and how 2b is more tenable. What does "the outcome of future interactions with the system" mean if there is no "true underlying objective ontic state of the system"? I understand that according to QBism quantum states do not represent reality. But does physical reality exist at all or not? Is there a "physical state of the system", even though it cannot be described using QM? If there is no state of the system, what does "system" mean? How is the "outcome of the interactions with the system" determined? |
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As I say the mathematics is invariant across interpretations, therefore the Born rule and POVMs have a use to an Everettian just as they do a QBist. The difference is what they think of the physical meaning of such a thing. [0][1]
Interpreting quantum theory with a radical, personalist Bayesian perspective of the quantum state is novel, although it has historical precedents starting with Bohr and continuing with Jaynes, Wheeler. [2]
QBists broadly speaking tend to assume a pragmatist view of realism, at least in relation to quantum theory. Fuchs describes it as "participatory realism". There is a physical reality but we are ourselves entwined with it and cannot assume that the models we construct are objective and observer-independent. I think Fuchs has argued that the measurement problem, Wigner's friend, Bell's theorem and Kochen-Specker all point us irrevocably towards a radical Bayesian perspective of the quantum state. The task remaining is to disentangle the subjective from the objective:
> The professed goal is to strip away all those elements of quantum theory that can be interpreted in subjective, agent-dependent terms. The hope is that whatever remains will hint at something essential and objective about nature. [3]
[0] https://arxiv.org/pdf/quant-ph/0104088.pdf
[1] https://arxiv.org/pdf/quant-ph/0205039.pdf
[2] https://arxiv.org/pdf/1705.03483.pdf
[3] https://arxiv.org/pdf/1405.2390.pdf