RT Journal Article
T1 On the tomographic picture of quantum mechanics
A1 Ibort Latre, Luis Alberto
A1 Man'ko, V. I.
A1 Marmo, G.
A1 Simoni, A.
A1 Ventriglia, F.
AB 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.
PB Elsevier
SN 0375-9601
YR 2010
FD 2010-06-07
LK http://hdl.handle.net/10016/8691
UL http://hdl.handle.net/10016/8691
LA eng
NO 4 pages, no figures.-- PACS codes: 03.65 Sq; 03.65.Wj.-- ArXiv pre-print available at: http://arxiv.org/abs/1004.0102
NO This work was partially supported by MTM2007-62478 Research project, Ministry of Science, Spain.
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