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Please use this identifier to cite or link to this item:
http://hdl.handle.net/10016/8691
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| Title: | On the tomographic picture of quantum mechanics |
| Author(s): | Ibort, Alberto
Man'ko, V. I.
Marmo, G.
Simoni, A.
Ventriglia, F. |
| Publisher: | Elsevier |
| Issued date: | 7-Jun-2010 |
| Citation: | Physics Letters A, 2010, vol. 374, n. 26, p. 2614-2617 |
| URI: | http://hdl.handle.net/10016/8691 |
| ISSN: | 0375-9601 |
| DOI: | 10.1016/j.physleta.2010.04.056 |
| Description: | 4 pages, no figures.-- PACS codes: 03.65 Sq; 03.65.Wj.-- ArXiv pre-print available at: http://arxiv.org/abs/1004.0102 |
| 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. |
| Sponsor: | This work was partially supported by MTM2007-62478 Research project, Ministry of Science, Spain. |
| Publisher version: | http://dx.doi.org/10.1016/j.physleta.2010.04.056 |
| Keywords: | Quantum tomograms
Symplectic tomograms
Probability measures
Weyl-Heisenberg group |
| Rights: | © Elsevier |
| Appears in Collections: | DM - AMCSS - Artículos de Revistas
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