Ptychographic reconstruction of pure quantum states
| Autor: | Fernandes, M. F., Solís-Prosser, M. A., Neves, L. |
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| Rok vydání: | 2020 |
| Předmět: | |
| Zdroj: | Optics Letters 45, 6002 (2020) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1364/OL.401832 |
| Popis: | 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-$\lceil d/2\rceil$ projectors. The extension of quantum ptychography for other types of photonic spatial modes is outlined. Comment: 4 pages, 3 figures. Published version |
| Databáze: | arXiv |
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