On the inversion of the Radon transform: standard vs $M^2$ approach

Abstract

We compare the Radon transform in its standard and symplectic formulations and argue that the inversion of the latter can be performed more efficiently.

8 pages

References in corpus (7)

• Experimental Quantum State Tomography of Optical Fields and Ultrafast Statistical Sampling
• Biased tomography schemes: an objective approach
• Generalized tomographic maps
• State reconstruction by on/off measurements
• Measuring the photon distribution by ON/OFF photodectors
• Radon transform on the cylinder and tomography of a particle on the circle
• Joint multipartite photon statistics by on/off detection

Cited by in corpus (5)

• Robustness of raw quantum tomography
• Symplectic Radon Transform and the Metaplectic Representation
• Quantum process in probability representation of quantum mechanics
• Generalized quantum tomographic maps
• Tomography: mathematical aspects and applications