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Proceedings Paper

Complementary imaging with compressive sensing
Author(s): Gregory A. Howland; James Schneeloch; Daniel J. Lum; Samuel H. Knarr; John C. Howell
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Paper Abstract

Measurements on quantum systems are always constrained by uncertainty relations. For traditional, projective measurements, uncertainty relations correspond to resolution limitations; a detector's position resolution is increased at the cost of its momentum resolution and vice-versa. However, many experiments in quantum measurement are now exploring non- or partially-projective measurements. For these techniques, measurement disturbance need not manifest as a blurring in the complementary domain. Here, we describe a technique for complementary imaging | obtaining sharp position and momentum distributions of a transverse optical field with a single set of measurements. Our technique consists of random, partially-projective filtering in position followed by projective measurements in momentum. The partial-projections extract information about position at the cost of injecting a small amount of noise into the momentum distribution, which can still be directly imaged. The position distribution is recovered via compressive sensing.

Paper Details

Date Published: 21 May 2015
PDF: 7 pages
Proc. SPIE 9500, Quantum Information and Computation XIII, 95000D (21 May 2015); doi: 10.1117/12.2177002
Show Author Affiliations
Gregory A. Howland, Univ. of Rochester (United States)
Air Force Research Lab. (United States)
James Schneeloch, Univ. of Rochester (United States)
Daniel J. Lum, Univ. of Rochester (United States)
Samuel H. Knarr, Univ. of Rochester (United States)
John C. Howell, Univ. of Rochester (United States)

Published in SPIE Proceedings Vol. 9500:
Quantum Information and Computation XIII
Eric Donkor; Andrew R. Pirich; Michael Hayduk, Editor(s)

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