PROBABILITY REPRESENTATION AND STATE-EXTENDED UNCERTAINTY RELATIONS

被引：5

作者：

Chernega, Vladimir N. ^{[1
]}

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

机构：

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

来源：

JOURNAL OF RUSSIAN LASER RESEARCH | 2011年 / 32卷 / 02期

基金：

俄罗斯基础研究基金会;

关键词：

uncertainty relations; probability distribution; quantum tomography; optical tomograms; QUANTUM; TOMOGRAPHY;

D O I：

10.1007/s10946-011-9197-z

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

The new inequality recently found by Trifonov and called the state-extended inequality is considered in the tomographic-probability representation of quantum mechanics. The Trifonov uncertainty relations are expressed in terms of optical tomograms and can be checked in experiments on homodyne detection of the photon states.

引用

页码：125 / 129

页数：5

共 17 条

[1] Measurement of the quantum states of squeezed light [J].

Breitenbach, G ;

Schiller, S ;

Mlynek, J .

NATURE, 1997, 387 (6632) :471-475

[2] 'Nonclassical' states in quantum optics: a 'squeezed' review of the first 75 years [J].

Dodonov, VV .

JOURNAL OF OPTICS B-QUANTUM AND SEMICLASSICAL OPTICS, 2002, 4 (01) :R1-R33

[3]

Heisenberg W., 1927, Z PHYS, V43, P172, DOI [10.1007/bf01397280, DOI 10.1007/BF01397280]

[4] An introduction to the tomographic picture of quantum mechanics [J].

Ibort, A. ;

Man'ko, V. I. ;

Marmo, G. ;

Simoni, A. ;

Ventriglia, F. .

PHYSICA SCRIPTA, 2009, 79 (06)

[5] Continuous-variable optical quantum-state tomography [J].

Lvovsky, A. I. ;

Raymer, M. G. .

REVIEWS OF MODERN PHYSICS, 2009, 81 (01) :299-332

[6] Probability Description and Entropy of Classical and Quantum Systems [J].

Man'ko, Margarita A. ;

Man'ko, Vladimir I. .

FOUNDATIONS OF PHYSICS, 2011, 41 (03) :330-344

[7] Classical mechanics is not the h→0 limit of quantum mechanics [J].

Man'ko, O ;

Man'ko, VI .

JOURNAL OF RUSSIAN LASER RESEARCH, 2004, 25 (05) :477-492

[8] Homodyne estimation of quantum state purity by exploiting the covariant uncertainty relation [J].

Man'ko, V. I. ;

Marmo, G. ;

Porzio, A. ;

Solimeno, S. ;

Ventriglia, F. .

PHYSICA SCRIPTA, 2011, 83 (04)

[9] Non-commutative time-frequency tomography [J].

Man'ko, VI ;

Mendes, RV .

PHYSICS LETTERS A, 1999, 263 (1-2) :53-61

[10] Classical-like description of quantum dynamics by means of symplectic tomography [J].

Mancini, S ;

Manko, VI ;

Tombesi, P .

FOUNDATIONS OF PHYSICS, 1997, 27 (06) :801-824

← 1 2 →