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Wave-particle duality is a typical example of Bohr's complementarityprinciple that plays a significant role in quantum mechanics. Previous studiesused the visibility of an interference pattern to quantify the wave propertyand used path information to quantify the particle property. However, coherenceis the core and basis of the interference phenomenon. If we could use coherenceto characterize the wave property, the understanding of wave-particle dualitywould be strengthened. A recent theoretical work [Phys. Rev. Lett. 116, 160406(2016)] found two relations between quantum coherence and path information.Here, we demonstrate the new measure of wave-particle duality based on twokinds of coherence measures quantitatively for the first time. The waveproperty, quantified by the coherence in the l1-norm measure and the relativeentropy measure, can be obtained via tomography of the target state, which isencoded in the path degree of freedom of the photons. The particle property,quantified by the path information, can be obtained via the discrimination ofdetector states, which is encoded in the polarization degree of freedom of thephotons. Our work may deepen people's understanding of coherence and provide anew perspective regarding wave-particle duality.

Experimental demonstration of wave-particle duality relation based on coherence measure