Hey all, I have what I think (hope) is a relatively quick pair of questions regarding entanglement of fermions and bosons. First, am I right in saying that if two fermions are in the same position-state, they will necessarily be entangled? My reasoning here is just that if their position-state is the same, then some other aspect of their states (e.g. their spin) must be different (by the Pauli exclusion principle) - i.e. that that aspect of their states will be anti-correlated. Second, is there any such connection in the case of bosons? Obviously, the PEP doesn't apply; so I'm inclined to think that a pair of bosons could share a position-state and yet not be entangled. Is this right?