  Hong-Ou-Mandel (HOM) interference is demonstrated experimentally for
entangled photon pairs in the Hermite-Gauss (HG) basis. We use two Dove prisms
in one of the paths of the photons to manipulate the entangled quantum state
that enters the HOM interferometer. It is demonstrated that, when entangled
photon pairs are in a symmetric Bell state in the Laguerre-Gauss (LG) basis,
then they will remain symmetric after decomposing them into the HG basis,
thereby resulting in no coincidence events after the HOM interference. On the
other hand, if the photon pairs are in an antisymmetric Bell state in the LG
basis, then they will also be antisymmetric in the HG basis, thereby producing
only coincidence events as a result of the HOM interference.
