Quantum Enhanced Phase Retrieval

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.

6 pages, 5 figures, comments are welcome

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• Photonic Boson Sampling in a Tunable Circuit
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Cited by in corpus (4)

• Gaussian systems for quantum enhanced multiple phase estimation
• Optimal Distributed quantum sensing using Gaussian states
• Phase-retrieval from Bohm's equations
• Tackling the phase problem of diffraction for retrieval of photonic structures formed in nanocomposite materials