Tomography of Spin States, the Entanglement Criterion, and Bell's Inequalities
Teoretičeskaâ i matematičeskaâ fizika, Tome 146 (2006) no. 1, pp. 172-185
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We review the method of spin tomography of quantum states in which we use the standard probability distribution functions to describe spin projections on selected directions, which provides the same information about states as is obtained by the density matrix method. In this approach, we show that satisfaction or violation of Bell's inequalities can be understood as properties of tomographic functions for joint probability distributions for two spins. We compare results obtained using the methods of classical probability theory with those obtained in the framework of traditional quantum mechanics.
Keywords:
quantum tomography, probability, distribution function, Bell's inequality.
@article{TMF_2006_146_1_a13,
author = {V. A. Andreev and V. I. Man'ko and O. V. Man'ko and E. V. Shchukin},
title = {Tomography of {Spin} {States,} the {Entanglement} {Criterion,} and {Bell's} {Inequalities}},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {172--185},
publisher = {mathdoc},
volume = {146},
number = {1},
year = {2006},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2006_146_1_a13/}
}
TY - JOUR AU - V. A. Andreev AU - V. I. Man'ko AU - O. V. Man'ko AU - E. V. Shchukin TI - Tomography of Spin States, the Entanglement Criterion, and Bell's Inequalities JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2006 SP - 172 EP - 185 VL - 146 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_2006_146_1_a13/ LA - ru ID - TMF_2006_146_1_a13 ER -
%0 Journal Article %A V. A. Andreev %A V. I. Man'ko %A O. V. Man'ko %A E. V. Shchukin %T Tomography of Spin States, the Entanglement Criterion, and Bell's Inequalities %J Teoretičeskaâ i matematičeskaâ fizika %D 2006 %P 172-185 %V 146 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_2006_146_1_a13/ %G ru %F TMF_2006_146_1_a13
V. A. Andreev; V. I. Man'ko; O. V. Man'ko; E. V. Shchukin. Tomography of Spin States, the Entanglement Criterion, and Bell's Inequalities. Teoretičeskaâ i matematičeskaâ fizika, Tome 146 (2006) no. 1, pp. 172-185. http://geodesic.mathdoc.fr/item/TMF_2006_146_1_a13/