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Tomographic quantum measures for many degrees of freedom and the central limit theorem. / Amosov, G. G.; Man'ko, V. I.

в: Journal of Physics A: Mathematical and General, Том 38, № 10, 11.03.2005, стр. 2173-2177.

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Harvard

Amosov, GG & Man'ko, VI 2005, 'Tomographic quantum measures for many degrees of freedom and the central limit theorem', Journal of Physics A: Mathematical and General, Том. 38, № 10, стр. 2173-2177. https://doi.org/10.1088/0305-4470/38/10/008

APA

Amosov, G. G., & Man'ko, V. I. (2005). Tomographic quantum measures for many degrees of freedom and the central limit theorem. Journal of Physics A: Mathematical and General, 38(10), 2173-2177. https://doi.org/10.1088/0305-4470/38/10/008

Vancouver

Amosov GG, Man'ko VI. Tomographic quantum measures for many degrees of freedom and the central limit theorem. Journal of Physics A: Mathematical and General. 2005 Март 11;38(10):2173-2177. https://doi.org/10.1088/0305-4470/38/10/008

Author

Amosov, G. G. ; Man'ko, V. I. / Tomographic quantum measures for many degrees of freedom and the central limit theorem. в: Journal of Physics A: Mathematical and General. 2005 ; Том 38, № 10. стр. 2173-2177.

BibTeX

@article{33e4e88d5a354ff59ed95a2e705f4e94,
title = "Tomographic quantum measures for many degrees of freedom and the central limit theorem",
abstract = "A tomographic quantum measure for a multimode system is introduced. Symplectic tomograms describing quantum states of the system with many degrees of freedom are shown to be equal to partial derivatives of the von Neumann probability distribution functions of homodyne random variables. The central limit theorem known in quantum probability theory is applied to describe properties of the symplectic quantum measures introduced. An example of the centre-of-mass homodyne quadrature is studied in the context of the central limit theorem.",
author = "Amosov, {G. G.} and Man'ko, {V. I.}",
year = "2005",
month = mar,
day = "11",
doi = "10.1088/0305-4470/38/10/008",
language = "English",
volume = "38",
pages = "2173--2177",
journal = "Journal of Physics A: Mathematical and Theoretical",
issn = "1751-8113",
publisher = "IOP Publishing Ltd.",
number = "10",

}

RIS

TY - JOUR

T1 - Tomographic quantum measures for many degrees of freedom and the central limit theorem

AU - Amosov, G. G.

AU - Man'ko, V. I.

PY - 2005/3/11

Y1 - 2005/3/11

N2 - A tomographic quantum measure for a multimode system is introduced. Symplectic tomograms describing quantum states of the system with many degrees of freedom are shown to be equal to partial derivatives of the von Neumann probability distribution functions of homodyne random variables. The central limit theorem known in quantum probability theory is applied to describe properties of the symplectic quantum measures introduced. An example of the centre-of-mass homodyne quadrature is studied in the context of the central limit theorem.

AB - A tomographic quantum measure for a multimode system is introduced. Symplectic tomograms describing quantum states of the system with many degrees of freedom are shown to be equal to partial derivatives of the von Neumann probability distribution functions of homodyne random variables. The central limit theorem known in quantum probability theory is applied to describe properties of the symplectic quantum measures introduced. An example of the centre-of-mass homodyne quadrature is studied in the context of the central limit theorem.

UR - http://www.scopus.com/inward/record.url?scp=15544367040&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/38/10/008

DO - 10.1088/0305-4470/38/10/008

M3 - Article

AN - SCOPUS:15544367040

VL - 38

SP - 2173

EP - 2177

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 10

ER -

ID: 41888917