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arXiv · 1004.0102

On the Tomographic Picture of Quantum Mechanics

A. Ibort·V. I. Man'ko·G. Marmo·A. Simoni·F. Ventriglia
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Abstract

We formulate necessary and sufficient conditions for a symplectic tomogram of a quantum state to determine the density state. We establish a connection between the (re)construction by means of symplectic tomograms with the construction by means of Naimark positive-definite functions on the Weyl-Heisenberg group. This connection is used to formulate properties which guarantee that tomographic probabilities describe quantum states in the probability representation of quantum mechanics.

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A. Ibort, V. I. Man'ko, G. Marmo, A. Simoni, F. Ventriglia. 2010-04-01. On the Tomographic Picture of Quantum Mechanics. https://doi.org/10.1016/j.physleta.2010.04.056

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