Quantum Sensing And Imaging

Author : Gregory A. Howland
Publisher :
ISBN 13 :
Total Pages : 128 pages
Book Rating : 4.:/5 (894 download)

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Download or read book Compressive Sensing for Quantum Imaging written by Gregory A. Howland and published by . This book was released on 2014 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This thesis describes the application of compressive sensing to several challenging problems in quantum imaging with practical and fundamental implications. Compressive sensing is a measurement technique that compresses a signal during measurement such that it can be dramatically undersampled. Compressive sensing has been shown to be an extremely efficient measurement technique for imaging, particularly when detector arrays are not available. The thesis first reviews compressive sensing through the lens of quantum imaging and quantum measurement. Four important applications and their corresponding experiments are then described in detail. The first application is a compressive sensing, photon-counting lidar system. A novel depth mapping technique that uses standard, linear compressive sensing is described. Depth maps up to 256 x 256 pixel transverse resolution are recovered with depth resolution less than 2.54 cm. The first three-dimensional, photon counting video is recorded at 32 x 32 pixel resolution and 14 frames-per-second. The second application is the use of compressive sensing for complementary imaging--simultaneously imaging the transverse-position and transverse-momentum distributions of optical photons. This is accomplished by taking random, partial projections of position followed by imaging the momentum distribution on a cooled CCD camera. The projections are shown to not signicantly perturb the photons' momenta while allowing high resolution position images to be reconstructed using compressive sensing. A variety of objects and their diffraction patterns are imaged including the double slit, triple slit, alphanumeric characters, and the University of Rochester logo. The third application is the use of compressive sensing to characterize spatial entanglement of photon pairs produced by spontaneous parametric downconversion. The technique gives a theoretical speedup N2/log N for N-dimensional entanglement over the standard raster scanning technique. Entanglement imaging is demonstrated at 1024 dimensions-per-photon with channel capacities exceeding 8.4 bits-per-photon. In practice, the measurement time is reduced from 310 days for the standard technique to 8 hours for the compressive technique. An entropic steering inequality is violated to witness entanglement. The final application is a compressive wavefront sensor that unites compressive sensing with weak measurement. We show how a twisted-nematic spatial light modulator can be be used to weakly couple an optical field's position and polarization degrees of freedom. The complex nature of the weak value is used to directly measure random projections of the real and imaginary parts of the optical field, where polarization serves as an ancillary meter. We obtain 256 x 256 pixel wavefronts from only 10,000 random projections. Photon-counting detectors provide sub-picowatt sensitivity"--Pages ix-x.