  Wave-particle duality is one of the most intriguing counterfactual concepts
in quantum theory. In our common sense, the wave and particle properties of a
quantum object are inseparable. However, the recent studies based on Quantum
Cheshire Cat phenomena showed that separating the physical properties of a
quantum object including wave and particle attributes from itself are possible
in microscopic system described by two-state vector formalism. In this study,
we put forward a feasible scheme to spatially separate the wave and particle
attributes of two entangled photons by properly choosing the pre- and
post-selection of path states. Our scheme also guarantees that the observation
of wave and particle properties of the two entangled photons always obey the
Bohr's complementarity principle.
