Quantum Tomography twenty years later

Abstract

A sample of some relevant developments that have taken place during the last twenty years in classical and quantum tomography are displayed. We will present a general conceptual framework that provides a simple unifying mathematical picture for all of them and, as an effective use of it, three subjects have been chosen that offer a wide panorama of the scope of classical and quantum tomography: tomography along lines and submanifolds, coherent state tomography and tomography in the abstract algebraic setting of quantum systems.

References in corpus (4)

• Generalized tomographic maps
• On the Tomographic Picture of Quantum Mechanics
• A tomographic setting for quasi-distribution functions
• A pedagogical presentation of a $C^{\star }$-algebraic approach to quantum tomography

Cited by in corpus (10)

• Triangle geometry of the qubit state in the probability representation expressed in terms of the triada of Malevich's Squares
• Geometry and Entanglement of Two-Qubit States in the Quantum Probabilistic Representation
• Correlations in a system of classical--like coins simulating spin-1/2 states in the probability representation of quantum mechanics
• Probability representation of quantum states as a renaissance of hidden variables -- God plays coins
• Extending Quantum Probability from Real Axis to Complex Plane
• Center of mass tomography and Wigner function for multimode photon states
• Symplectic tomographic probability distribution of crystallized Schrödinger cat states
• Quantum Tomography and the Quantum Radon Transform
• Optimal nonlinear filtering of quantum state
• Probability representation of photon states and tomography