Compressive Direct Imaging of 268-Million-Dimensional Optical Phase Space

@inproceedings{Knarr2017CompressiveDI,
  title={Compressive Direct Imaging of 268-Million-Dimensional Optical Phase Space},
  author={Samuel H. Knarr and Daniel J. Lum and James Schneeloch and John C. Howell},
  year={2017}
}
Optical phase-spaces represent fields in terms of spatial and spatial frequency variables. Typically, phase-spaces are measured through phase-retrieval methods involving a computational inversion, or a lenslet array, which sacrifices resolution in one domain for the other. Recently, a quantum weak-values technique demonstrated that a beam's Dirac phase-space is proportional to the measurable complex weak-value, regardless of quantum state purity. These direct measurements require scanning… Expand

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References

SHOWING 1-10 OF 66 REFERENCES
Phase-space measurement and coherence synthesis of optical beams
  • L. Waller, G. Situ, J. Fleischer
  • Physics
  • 2013 Conference on Lasers & Electro-Optics Europe & International Quantum Electronics Conference CLEO EUROPE/IQEC
  • 2013
Summary form only given. Phase-space optics allows simultaneous visualization of both space (x) and spatial frequency (k) information. This is in distinct contrast with normal measurements, such asExpand
Scan-free direct measurement of an extremely high-dimensional photonic state
Retrieving the vast amount of information carried by a photon is an enduring challenge in quantum metrology science and quantum photonics research. The transverse spatial state of a photon is aExpand
Reconstructing high-dimensional two-photon entangled states via compressive sensing
TLDR
This work reconstructs the density matrix of a high-dimensional two-photon entangled system using a modified version of compressive sensing that incorporates the principles of singular value thresholding, demonstratingCompressive sensing as an effective technique for measuring the state of large-scale quantum systems. Expand
Efficient high-dimensional entanglement imaging with a compressive sensing, double-pixel camera
We implement a double-pixel, compressive sensing camera to efficiently characterize, at high resolution, the spatially entangled fields produced by spontaneous parametric downconversion. ThisExpand
Direct Measurement of the Density Matrix of a Quantum System.
TLDR
This work experimentally demonstrates a scheme that can be used to directly measure individual density matrix elements of general quantum states by measuring a sequence of three observables, each complementary to the last. Expand
Compressive wavefront sensing with weak values.
TLDR
A wavefront sensor is demonstrated that unites weak measurement and the compressive-sensing, single-pixel camera, using a high-resolution spatial light modulator as a variable waveplate and an optical field's transverse-position and polarization degrees of freedom. Expand
3D imaging in volumetric scattering media using phase-space measurements.
TLDR
A multi-slice forward model for homogenous volumetric scattering is derived, then a reconstruction algorithm is developed that exploits sparsity in order to further constrain the problem. Expand
Compressive direct measurement of the quantum wave function.
TLDR
This Letter introduces a method that exploits sparsity for the compressive measurement of the transverse spatial wave function of photons by using weak measurements of random projection operators in the spatial domain followed by postselection in the momentum basis. Expand
Wavefront sensing reveals optical coherence.
TLDR
It is shown that the Shack-Hartmann wavefront sensor actually performs a simultaneous measurement of position and angular spectrum of the incident radiation and, therefore, when combined with tomographic techniques previously developed for quantum information processing, it can be instrumental in reconstructing the complete coherence properties of the signal. Expand
Phase-space approach to lensless measurements of optical field correlations.
TLDR
A general approach for efficiently measuring space-variant partially coherent quasi-monochromatic fields using only amplitude masks and free propagation is analyzed and tested. Expand
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