Efficient High-Dimensional Entanglement Imaging with a Compressive-Sensing Double-Pixel Camera

• Published in: Physical review. X Vol. 3; no. 1; p. 011013
• Main Authors: Howland, Gregory A., Howell, John C.
• Format: Journal Article
• Language: English
• Published: College Park American Physical Society 01-02-2013
• Subjects: Cameras; Channel capacity; Information theory; Measurement techniques; Photons; Pixels; Quantum entanglement; Quantum mechanics; Raster scanning; Rolls; Scaling factors; Sparsity; System effectiveness; Time measurement; Wave functions
• ISSN: 2160-3308; 2160-3308
• DOI: 10.1103/PhysRevX.3.011013

We implement a double-pixel compressive-sensing camera to efficiently characterize, at high resolution, the spatially entangled fields that are produced by spontaneous parametric down-conversion. This technique leverages sparsity in spatial correlations between entangled photons to improve acquisition times over raster scanning by a scaling factor up to n2/log(n) for n -dimensional images. We image at resolutions up to 1024 dimensions per detector and demonstrate a channel capacity of 8.4 bits per photon. By comparing the entangled photons’ classical mutual information in conjugate bases, we violate an entropic Einstein-Podolsky-Rosen separability criterion for all measured resolutions. More broadly, our result indicates that compressive sensing can be especially effective for higher-order measurements on correlated systems.