Some authors exclusively use "Correlation" to classify composite quantum states, whereas most only speak of "Entanglement".
Correlation basically means that measurements on the subsystems are stochastically dependent and entanglement means non-separability of the composite state.
I am wondering, are those classifications equivalent, or is there any hierarchy (e.g. if a composite state is non entangled, it is always uncorrelated). Does the entropy of entanglement (in some cases) predict whether a state is (un)correlated?
References to a proof would be much appreciated!
Feel free to criticize me on the casual definitions given above as well.
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