Simon Phoenix
Science Advisor
Gold Member
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stevendaryl said:I'm not sure if this is missing the point (no pun intended), but while I agree that a point in phase space is ontic in classical physics, in practice, we don't have a point, but a region of phase space or a probability distribution on phase space. We don't know precisely where the actual system is, we only know it probabilistically. The distribution is epistemic, rather than ontic (it reflects our subjective knowledge).
Absolutely
Totally agree - I only mentioned the phase space point because it seems to be the 'archetypal' example of what is meant by an 'ontic' state according to the foundations guys.
stevendaryl said:The weird thing about quantum density matrices is how they mix up ontic and epistemic. There is no unique way to determine which parts of the density matrix are due to our lack of information, and which parts are due to objective facts about the system
Absolutely again
Let's suppose that Alice prepares a spin-1/2 particle in a pure state according to
(1) an eigenstate of spin z
(2) an eigenstate of spin x or spin z or spin y
(3) an eigenstate of spin in any direction
She gives the particle to Bob and only tells him that she has prepared it according to (1), (2) or (3). In each case Bob's density operator (the one that he assigns) is the same (just half the identity operator) but we would, I think, be justified in claiming the 3 situations could be significantly physically different from one another - at least according to Alice who knows what physical state has been prepared. Interpreting the density matrix - even as a 'proper' mixture has this ambiguity as you say.
What is different in each of these 3 cases is the measurement strategy Bob must perform (on an ensemble of identically prepared particles) to determine which eigenstate with say 90% probability in the least number of measurements.