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The notion of entangled states is very neat, it simply means non-separability of the states. Another important class of states that one often hears is the non-local state. But when do we say that a state $\rho$ is nonlocal?
The term "non-local states" most likely refers to states which allow to violate a Bell inequality. They give rise to statistics that cannot be explained with a local hidden variable model.
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