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Manipulating light by adding and subtracting individual photons is a powerfulapproach with a principal drawback: the operations are fundamentallyprobabilistic and the probability is often small. This limits not only thefundamental scalability but also the number of operations that can be appliedin realistic experimental settings. We propose and analyze an adaptivetechnique which can significantly increase the probability of success whilepreserving the quality of the photon subtraction. We show the improvement bothin single mode preparation and manipulation of non-Gaussian states withnegative Wigner functions and in two-mode entanglement distillation protocolwith Gaussian states of light.

Adaptive loop-based subtraction of a single photon from a traveling beam of light