Bell's inequalities in the tomographic representation

被引：13
作者：
Lupo, C.
Man'ko, V. I.
Marmo, G.
机构：
[1] Univ Naples Federico II, Dipartimento Sci Fisiche, I-80126 Naples, Italy
[2] Complesso Univ Monte Sant Angelo, Sez INFN Napoli, I-80126 Naples, Italy
[3] PN Lebedev Phys Inst, Moscow 119991, Russia
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2006年 / 39卷 / 40期
关键词：
CURRENT SITUATION; STAR-PRODUCT; QUANTUM; STATES; CRITERION;
D O I：
10.1088/0305-4470/39/40/016
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The tomographic approach to quantum mechanics is revisited as a direct tool to investigate the violation of Bell-like inequalities. Since quantum tomograms are well defined probability distributions, the tomographic approach is emphasized to be the most natural one to compare the predictions of classical and quantum theory. Examples of inequalities for two qubits and two qutrits are considered in the tomographic probability representation of spin states.
引用
收藏
页码：12515 / 12524
页数：10
相关论文
共 34 条
[1]   Tomography of spin states, the entanglement criterion, and Bell's inequalities [J].
Andreev, VA ;
Man'ko, VI ;
Man'ko, OV ;
Shchukin, EV .
THEORETICAL AND MATHEMATICAL PHYSICS, 2006, 146 (01) :140-151
[2]  
[Anonymous], 1989, LECT NOTES PHYS
[3]  
Bell J.S., 1964, PHYSICS, V1, P195, DOI [10.1103/Physics-PhysiqueFizika.1.195, 10.1103/PhysicsPhysiqueFizika.1.195]
[4]   A TOMOGRAPHIC APPROACH TO WIGNER FUNCTION [J].
BERTRAND, J ;
BERTRAND, P .
FOUNDATIONS OF PHYSICS, 1987, 17 (04) :397-405
[5]   Kernel of star-product for spin tomograms [J].
Castaños, O ;
López-Peña, R ;
Man'ko, MA ;
Man'ko, VI .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2003, 36 (16) :4677-4688
[6]  
CHEN YA, 2006, QUANTPH0607194
[7]  
CHOUDHARY SK, 2006, QUANTPH0608100
[8]   QUANTUM GENERALIZATIONS OF BELLS-INEQUALITY [J].
CIRELSON, BS .
LETTERS IN MATHEMATICAL PHYSICS, 1980, 4 (02) :93-106
[9]   PROPOSED EXPERIMENT TO TEST LOCAL HIDDEN-VARIABLE THEORIES [J].
CLAUSER, JF ;
HORNE, MA ;
SHIMONY, A ;
HOLT, RA .
PHYSICAL REVIEW LETTERS, 1969, 23 (15) :880-&
[10]   EXPERIMENTAL CONSEQUENCES OF OBJECTIVE LOCAL THEORIES [J].
CLAUSER, JF ;
HORNE, MA .
PHYSICAL REVIEW D, 1974, 10 (02) :526-535
1234