Publication:
On the tomographic picture of quantum mechanics

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2010-06-07
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Elsevier
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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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4 pages, no figures.-- PACS codes: 03.65 Sq; 03.65.Wj.-- ArXiv pre-print available at: http://arxiv.org/abs/1004.0102
Keywords
Quantum tomograms, Symplectic tomograms, Probability measures, Weyl-Heisenberg group
Bibliographic citation
Physics Letters A, 2010, vol. 374, n. 26, p. 2614-2617