On the tomographic picture of quantum mechanics

被引：20
|
作者：
Ibort, A. [2 ]
Man'ko, V. I. [1 ]
Marmo, G. [3 ,4 ]
Simoni, A. [3 ,4 ]
Ventriglia, F. [3 ,4 ]
机构：
[1] PN Lebedev Phys Inst, Moscow 119991, Russia
[2] Univ Carlos III Madrid, Dept Matemat, Madrid 28911, Spain
[3] Univ Naples Federico 2, Dipartimento Sci Fis, I-80126 Naples, Italy
[4] Cornplesso Univ Monte S Angelo, Sez INFN Napoli, I-80126 Naples, Italy
来源：
PHYSICS LETTERS A | 2010年 / 374卷 / 26期
关键词：
Quantum tomograms; Symplectic tomograms; Probability measures; Weyl-Heisenberg group; SYMPLECTIC TOMOGRAPHY;
D O I：
10.1016/j.physleta.2010.04.056
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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. (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码：2614 / 2617
页数：4
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