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arXiv · 1506.09198

Quantum Enhanced Phase Retrieval

Liat Liberman·Yonatan Israel·Eilon Poem·Yaron Silberberg
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Abstract

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.

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Liat Liberman, Yonatan Israel, Eilon Poem, Yaron Silberberg. 2015-06-30. Quantum Enhanced Phase Retrieval. https://doi.org/10.1364/optica.3.000193

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