  By exploiting the hyperentanglement, we propose a new concrete scheme to
realize weak value amplification, which can be implemented by N hyperentangled
photons along with coincidence detection. Our scheme can optimally increase the
amplification factor by a factor of N compared to the usage of N uncorrelated
photons, and achieve the Heisenberg limit for the purpose of parameter
estimation. We expect our study can inspire a further investigation on the
usage of hyperentanglement in weak measurement and quantum metrology.
