Quantum correlations and tomographic representation

被引：9

作者：

Man'ko, O. V. ^{[1
]}

Chernega, V. N. ^{[1
]}

机构：

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

来源：

JETP LETTERS | 2013年 / 97卷 / 09期

基金：

俄罗斯基础研究基金会;

关键词：

PHOTON-NUMBER; PROBABILITY REPRESENTATION; SQUEEZED STATES; DENSITY-MATRIX; STAR PRODUCTS; DISTRIBUTIONS; FIDELITY; TERMS;

D O I：

10.1134/S0021364013090099

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We review the probabilistic representation of quantum mechanics within which states are described by the probability distribution rather than by the wavefunction and density matrix. Uncertainty relations have been obtained in the form of integral inequalities containing measurable optical tomograms of quantum states. Formulas for the transition probabilities and purity parameter have been derived in terms of the tomographic probability distributions. Inequalities for Shannon and R,nyi entropies associated with quantum tomograms have been obtained. A scheme of the star product of tomograms has been developed.

引用

页码：557 / 563

页数：7

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