  Bohr's principle of complementarity lies at the central place of quantum
mechanics, according to which the light is chosen to behave as a wave or
particles, depending on some exclusive detecting devices. Later, intermediate
cases are found, but the total information of the wave-like and particle-like
behaviors are limited by some inequalities. One of them is Englert-Greenberger
(EG) duality relation. This relation has been demonstrated by many experiments
with the classical detecting devices. Here by introducing a quantum detecting
device into the experiment, we find the limit of the duality relation is
exceeded due to the interference between the photon's wave and particle
properties. However, our further results show that this experiment still obey a
generalized EG duality relation. The introducing of the quantum device causes
the new phenomenon, provides an generalization of the complementarity
principle, and opens new insights into our understanding of quantum mechanics.
