Amplifying Single-Photon Nonlinearity Using Weak Measurement
  We show that weak measurement can be used to "amplify" optical nonlinearities at the single- photon level, such that the effect of one properly post-selected photon on a classical beam may be as large as that of many un-post-selected photons. We find that "weak-value amplification" offers a marked improvement in signal-to-noise ratio in the presence of technical noise with long correlation times. Unlike previous weak measurement experiments, our proposed scheme has no classical equivalent. 
Amir Feizpour, Xingxing Xing and Aephraim M. Steinberg
quant-ph