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We study the impact of distinguishability and mixedness -- two fundamentalproperties of quantum states -- on quantum interference. We show that these caninfluence the interference of multiple particles in different ways, leading toeffects that cannot be observed in the interference of two particles alone.This is demonstrated experimentally by interfering three independent photons inpure and mixed states and observing their different multiphoton interference,despite exhibiting the same two-photon Hong-Ou-Mandel (HOM) interference.Besides its fundamental relevance, our observation has important implicationsfor quantum technologies relying on photon interference.

Distinguishability and mixedness in quantum interference