From: <[email protected] <mailto:[email protected]>>
On Monday, October 15, 2018 at 3:28:17 PM UTC, [email protected]
<mailto:[email protected]> wrote:
On Monday, October 15, 2018 at 11:17:56 AM UTC, Bruce wrote:
The state is still the original state until decoherence kicks
in and then, because of einselection of a preferred basis, we
can say that the separate states are "real" -- namely
orthogonal, so that one other other is chosen. Until that
time, the only state around is the original state, as can be
demonstrated by the possibility of recoherence, in which case
you recover just the initial state and nothing else.
*Aren't the component states orthogonal prior to decoherence?
IIUC, they must be if they have distinct eigenvalues. AG*
*I conclude that not every superposition has components that are
eigenvectors of the operator for the observable. So these components
are not orthogonal. But there is always an expansion whose components
are eigenvectors and thus are orthogonal. I don't think this has
anything to do with decoherence. AG
*
My use of the word "orthogonal" was careless -- basis vectors can be
orthogonal or not, it makes no difference to the state or the fact of
superposition. What I meant about decoherence was that it renders the
density matrix diagonal (FAPP), so that the superposed states no longer
interfere.
*What continues to puzzle me is why the alleged experts here of
quantum computing (and I think Wiki as well) claim that qbits are in
both states simultaneously, when we know this is not a correct
interpretation of a superposition. Does the theory of quantum
computing depend in any way on what appears to be an erroneous
interpretation of a superposition? TIA, AG*
I leave quantum computing experts to comment on this, but I tend to
think that such language is misleading at best.
Bruce
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