Quantum particle statistics govern the dynamics of quantum interference including the Pauli exclusion principle of Fermions and bunching of Bosons in the Hong-Ou-Mandel effect. We show that entanglement of N particles can simulate the quantum interference statistics of N indistinguishable particles---with arbitrary exchange statistics---subjected to an arbitrary transformation. We report an experimental realization of this proposal, using two polarization-entangled photons undergoing an entangled continuous time quantum walk, realized with integrated waveguide optics.