%0 Journal Article
%T Quantum Enhanced Phase Retrieval
%A Liat Liberman
%A Yonatan Israel
%A Eilon Poem
%A Yaron Silberberg
%J Physics
%D 2015
%I arXiv
%X The retrieval of phases from intensity measurements is a key process in many fields in science, from optical microscopy to x-ray crystallography. Here we study phase retrieval of a one-dimensional multi-phase object that is illuminated by quantum states of light. We generalize the iterative Gerchberg-Saxton algorithm to photon correlation measurements on the output plane, rather than the standard intensity measurements. We report a numerical comparison of classical and quantum phase retrieval of a small one-dimensional object of discrete phases from its far-field diffraction. While the classical algorithm was ambiguous and often converged to wrong solutions, quantum light produced a unique reconstruction with smaller errors and faster convergence. We attribute these improvements to a larger Hilbert space that constrains the algorithm.
%U http://arxiv.org/abs/1506.09198v1