  This paper presents a proof-of-principle scheme for the protective
measurement of a single photon. In this scheme, the photon is looped
arbitrarily many times through an optical stage that implements a weak
measurement of a polarization observable followed by a strong measurement
protecting the state. The ability of this scheme to realize a large number of
such interaction-protection steps means that the uncertainty in the measurement
result can be drastically reduced while maintaining a sufficient probability
for the photon to survive the measurement.
