Complementary imaging with compressive sensing

Gregory A. Howland, James Schneeloch, Daniel J. Lum, Samuel H. Knarr, John C. Howell

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review


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.

Original languageAmerican English
Title of host publicationQuantum Information and Computation XIII
EditorsMichael Hayduk, Andrew R. Pirich, Eric Donkor
ISBN (Electronic)9781628416169
StatePublished - 2015
Externally publishedYes
EventQuantum Information and Computation XIII - Baltimore, United States
Duration: 22 Apr 201524 Apr 2015

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering


ConferenceQuantum Information and Computation XIII
Country/TerritoryUnited States

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering


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