On 27 Apr 2011, at 22:48, meekerdb wrote:

On 4/27/2011 12:16 PM, Evgenii Rudnyi wrote:
Recently I have seen interpretation of quantum mechanics in terms of quantum decoherence, for example Decoherence and the Transition from Quantum to Classical by Wojciech H. Zurek. What is an attitude in general to this? Is this good? Is there a good text for a layman about such an approach?


There's a good review paper by Max Schlosshauer


He later expanded it into a book. Decoherence is a real, observed physical process predicted by QM. Interest in it is due to it's role in explaining the appearance of the classical world. It explains the diagonalization of the reduced density matrix (the density matrix after averaging over the unknown environment). But it doesn't explain the realization of just one of the diagonal values with probabilities according to the Born rule. Omnes and some others point out that QM is a probabilistic theory and so probabilities are all you can expect from it.

There is also a problem in explaining the basis in which the density matrix is diagonalized; this is know as the einselection problem. Decoherence theory suggests some possible solutions to the einselection problem but none are really worked out yet.

Yes. Decoherence is real, and can be explained entirely in the QM without collapse. It is a key ingredient of the Many-World Interpretation, and that is why those who dislike the MWI try to still add something to the decoherence effect. Basically decoherence comes from the contagion of the superposition state to the environment, which is a consequence of the linearity of tensor products and of the linear wave equation.

I am not sure there is a "basis problem". Basis are selected by universal-machine-tropic choice, and Zurek did provide explanation why the position basis in favored by our type of branch. Quantum states are relative states, and consciousness can find itself only on the branches which support stable self-reflexive machine abilities.

It is an open problem for me if other type of basis (than position) can play that role.



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