Ptychographic reconstruction of pure quantum states

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Universidade Federal de Minas Gerais

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Artigo de periódico

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The quantum analogue of ptychography, a powerful coherent diffractive imaging technique, is a simple method for reconstructing 𝑑-dimensional pure states. It relies on measuring partially overlapping parts of the input state in a single orthonormal basis and feeding the outcomes to an iterative phase retrieval algorithm for postprocessing. We provide a proof of concept demonstration of this method by determining pure states given by superpositions of 𝑑 transverse spatial modes of an optical field. A set of n rank-r projectors, diagonal in the spatial mode basis, is used to generate 𝑛 partially overlapping parts of the input, and each part is projectively measured in the Fourier transformed basis. For d up to 32, we successfully reconstructed hundreds of random states using n=5 and n=d rank-⌈d/2⌉ projectors. The extension of quantum ptychography for other types of photonic spatial modes is outlined.

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Ptychographic reconstruction, Quantum states

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https://opg.optica.org/ol/abstract.cfm?uri=ol-45-21-6002

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