A general and an arbitrarily efficient scheme for entangling the spins (or
any spin-like degree of freedom) of two independent uncorrelated identical
particles by a combination of two particle interferometry and which way
detection is formulated. It is shown that the same setup could be used to
identify the quantum statistics of the incident particles from either the sign
or the magnitude of measured spin correlations. Our setup also exhibits a
curious complementarity between particle distinguishability and the amount of
generated entanglement.Comment: To appear in Phys. Rev. Let