We show how the measurement induced model of quantum computation proposed by
Raussendorf and Briegel [Phys. Rev. Letts. 86, 5188 (2001)] can be adapted to a
nonlinear optical interaction. This optical implementation requires a Kerr
nonlinearity, a single photon source, a single photon detector and fast feed
forward. Although nondeterministic optical quantum information proposals such
as that suggested by KLM [Nature 409, 46 (2001)] do not require a Kerr
nonlinearity they do require complex reconfigurable optical networks. The
proposal in this paper has the benefit of a single static optical layout with
fixed device parameters, where the algorithm is defined by the final
measurement procedure.Comment: 14 pages, 4 figures, 4 table