Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Using Double Compressive Sensing in Simultaneous Imaging of Spatial Entanglement

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

Published Jan 1, 2015• 0 citations
Publisher

Abstract

We use compressive sensing in the image and Fourier planes of a spontaneous parametric downconversion source to simultaneously gather the joint position and momentum distributions. We witness entanglement by violating a continuous variable steering inequality.
DOI
10.1364/cleo_qels.2015.ff2a.7

Related papers

Imaging High-Dimensional Spatial Entanglement with Compressive Sensing

Gregory A. Howland, John C. Howell

We use compressive sensing to efficiently image spatial correlations from spontaneous parametric downconversion at high resolution and witness entanglement. This technique efficiently scales to large dimensions and efficiently handles very low flux signals.

•Jan 1, 2013•0 citations

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

Gregory A. Howland, John C. Howell

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 n 2 = logðnÞ 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.

arXiv:1212.5530•Physical Review X•Feb 20, 2013•66 citations

Simultaneous Measurement of Complementary Observables with Compressive Sensing

Gregory A. Howland, James Schneeloch, Daniel J. Lum +1 more

The more information a measurement provides about a quantum system's position statistics, the less information a subsequent measurement can provide about the system's momentum statistics. This information trade-off is embodied in the entropic formulation of the uncertainty principle. Traditionally, uncertainly relations correspond to resolution limits; increasing a detector's position sensitivity decreases its momentum sensitivity and vice versa. However, this is not required in general; for example, position information can instead be extracted at the cost of noise in momentum. Using random, partial projections in position followed by strong measurements in momentum, we efficiently determine the transverse-position and transverse-momentum distributions of an unknown optical field with a single set of measurements. The momentum distribution is directly imaged, while the position distribution is recovered using compressive sensing. At no point do we violate uncertainty relations; rather, we economize the use of information we obtain.

arXiv:1605.04174•Physical Review Letters•Jun 26, 2014•33 citations

Joint polarization and spatial-mode entanglement of photons

Julio T. Barreiro, Nicholas A. Peters, Paul G. Kwiat

Simultaneous multidimensional entanglement can improve quantum communication protocols, measurements and fundamental studies. Using photons from parametric downconversion, we demonstrate a source of joint polarization and spatial-mode entanglement, and characterize the state by tomographic reconstruction.

Quantum Electronics and Laser Science Conference•Dec 10, 2005•0 citations

Joint polarization and spatial-mode entanglement of photons

Julio T. Barreiro, Nicholas A. Peters, Paul G. Kwiat +2 more

Simultaneous multidimensional entanglement can improve quantum communi-cation protocols, measurements and fundamental studies. Using photons from parametric downconversion, we demonstrate a source of joint polarization and spatial-mode entangle-ment, and characterize the state by tomographic reconstruction.

Optics InfoBase Conference Papers•Jan 1, 2006•0 citations

Simultaneous observation of correlations in position-momentum and polarization variables

Marcelo Pereira de Almeida, Stephen Patrick Walborn, P. H. Souto Ribeiro

We demonstrate experimentally that it is possible to prepare and detect photon pairs created by spontaneous parametric downconversion which exhibit simultaneous position-momentum and polarization correlations. We discuss the use of these correlations in several four-dimensional key distribution protocols.

Physical Review A•Apr 18, 2006•6 citations
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 n 2 = logðnÞ 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.
The more information a measurement provides about a quantum system's position statistics, the less information a subsequent measurement can provide about the system's momentum statistics. This information trade-off is embodied in the entropic formulation of the uncertainty principle. Traditionally, uncertainly relations correspond to resolution limits; increasing a detector's position sensitivity decreases its momentum sensitivity and vice versa. However, this is not required in general; for example, position information can instead be extracted at the cost of noise in momentum. Using random, partial projections in position followed by strong measurements in momentum, we efficiently determine the transverse-position and transverse-momentum distributions of an unknown optical field with a single set of measurements. The momentum distribution is directly imaged, while the position distribution is recovered using compressive sensing. At no point do we violate uncertainty relations; rather, we economize the use of information we obtain.