  The quantum version of Google PageRank has recently been investigated by
various groups and shown to be quadratically faster in time than the classical
PageRank algorithm. In this paper we propose the implementation of Quantum
PageRank by a stochastic quantum walk of correlated photons in a photonic
waveguide lattice, where we allow the density matrix to evolve according to the
Lindblad-Kossakowski master equation. This yields a stationary state, the
diagonal of whose density matrix gives the page ranking.
