  The quantum mechanical treatment of diffraction of particles, based on the
standard postulates of quantum mechanics and the postulate of existence of
quantum trajectories, leads to the `position measurement-induced collapse'
(PMIC) states. An experimental set-up to test these PMIC states is proposed.
The apparatus consists of a modified Lloyd's mirror in optics, with two
reflectors instead of one. The diffraction patterns for this case predicted by
the PMIC formalism are presented. They exhibit quantum fractal structures in
space-time called `quantum carpets', first discovered by Berry (1996). The PMIC
formalism in this case closely follows the `boundary bound diffraction'
analysed in a previous work by Tounli, Alverado and Sanz (2019). In addition to
obtaining their results, we have shown that the time evolution of these
collapsed states also leads to Fresnel and Fraunhofer diffractions. It is
anticipated that the verification of PMIC states by this experiment will help
to better understand collapse of the wave function during quantum measurements.
