Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
Spin correlation tensor for measurement of quantum entanglement in electron-electron scattering. / Tsurikov, D. E.; Samarin, S. N.; Williams, J. F.; Artamonov, O. M.
в: Journal of Physics B: Atomic, Molecular and Optical Physics, Том 50, № 7, 075502, 21.03.2017.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Spin correlation tensor for measurement of quantum entanglement in electron-electron scattering
AU - Tsurikov, D. E.
AU - Samarin, S. N.
AU - Williams, J. F.
AU - Artamonov, O. M.
N1 - Publisher Copyright: © 2017 IOP Publishing Ltd.
PY - 2017/3/21
Y1 - 2017/3/21
N2 - We consider the problem of correct measurement of a quantum entanglement in the two-body electron-electron scattering. An expression is derived for a spin correlation tensor of a pure two-electron state. A geometric measure of a quantum entanglement as the distance between two forms of this tensor in entangled and separable cases is presented. Due to such definition, one does not need to look for the closest separable state to the analyzed state. We prove that introduced measure satisfies properties of a valid entanglement measure: nonnegativity, discriminance, normalization, non-growth under local operations and classical communication. This measure is calculated for a problem of electron-electron scattering. We prove that it does not depend on the azimuthal rotation angle of the second electron spin relative to the first electron spin before scattering. We specify how to find a spin correlation tensor and the related measure of a quantum entanglement in an experiment with electron-electron scattering. Finally, the introduced measure is extended to the mixed states.
AB - We consider the problem of correct measurement of a quantum entanglement in the two-body electron-electron scattering. An expression is derived for a spin correlation tensor of a pure two-electron state. A geometric measure of a quantum entanglement as the distance between two forms of this tensor in entangled and separable cases is presented. Due to such definition, one does not need to look for the closest separable state to the analyzed state. We prove that introduced measure satisfies properties of a valid entanglement measure: nonnegativity, discriminance, normalization, non-growth under local operations and classical communication. This measure is calculated for a problem of electron-electron scattering. We prove that it does not depend on the azimuthal rotation angle of the second electron spin relative to the first electron spin before scattering. We specify how to find a spin correlation tensor and the related measure of a quantum entanglement in an experiment with electron-electron scattering. Finally, the introduced measure is extended to the mixed states.
KW - correlation tensor
KW - electron polarization
KW - electron-electron scattering
KW - entangled state
KW - entanglement measure
UR - http://www.scopus.com/inward/record.url?scp=85016165518&partnerID=8YFLogxK
U2 - 10.1088/1361-6455/aa6105
DO - 10.1088/1361-6455/aa6105
M3 - Article
AN - SCOPUS:85016165518
VL - 50
JO - Journal of the European Optical Society Part B: Quantum Optics
JF - Journal of the European Optical Society Part B: Quantum Optics
SN - 0953-4075
IS - 7
M1 - 075502
ER -
ID: 86158220