  Quantum interference between identical single particles reveals the intrinsic
quantum statistic nature of particles, which could not be interpreted through
classical physics. Here, we demonstrate quantum interference between
non-identical bosons using a generalized beam splitter based on a quantum
memory. The Hong-Ou-Mandel type interference between single photons and single
magnons with high visibility is demonstrated, and the crossover from the
bosonic to fermionic quantum statistics is observed by tuning the beam splitter
to be non-Hermitian. Moreover, multi-particle interference that simulates the
behavior of three fermions by three input photons is realized. Our work extends
the understanding of the quantum interference effects and demonstrates a
versatile experimental platform for studying and engineering quantum statistics
of particles.
