No-Signaling Property of the Single-Qudit-State Tomogram

被引：6

作者：

Man'ko, Margarita A. ^{[1
]}

Man'ko, Vladimir I. ^{[1
,2
]}

机构：

[1] Russian Acad Sci, PN Lebedev Phys Inst, Moscow 119991, Russia

[2] State Univ, Moscow Inst Phys & Technol, Dolgoprudnyi 141700, Moscow Region, Russia

来源：

JOURNAL OF RUSSIAN LASER RESEARCH | 2014年 / 35卷 / 06期

关键词：

quantum tomogram; qudit; unitary matrix; no-signaling; probability distribution; conditional probability; positive map; DENSITY-MATRIX; PROBABILITY REPRESENTATION; SYMPLECTIC TOMOGRAPHY; POSITIVE MAPS; PORTRAIT; SYSTEMS;

D O I：

10.1007/s10946-014-9465-9

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We review the tomographic approach to the description of quantum states of photons and qudits. We show that the no-signaling property exists for both tomograms of two-mode states of photons and two-qudit states (two-spin states). We point out that there exists an ambiguity in the tomographic description of qudit states. We demonstrate that the single-qudit-state tomograms, corresponding to the ambiguity in the map of the state density matrix onto the tomographic-probability distribution, have a no-signaling property analogous to the property of the two-qudit-state tomogram.

引用

页码：582 / 589

页数：8

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