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Teoreticheskaya i Matematicheskaya Fizika, 2016, Volume 186, Number 3, Pages 401–422
DOI: https://doi.org/10.4213/tmf8970 (Mi tmf8970) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Star product, discrete Wigner functions, and spin-system tomograms

P. Adama, V. A. Andreevb, A. Isarc, V. I. Man'kob, M. A. Man'kob

a Institute for Solid State Physics and Optics, Wigner Research Centre for Physics o  the H. A. S., Budapest, Hungary
b Lebedev Physical Institute, RAS, Moscow, Russia
c Horia Hulubei National Institute of Physics and Nuclear Engineering, Magurele, Romania
Full-text PDF (493 kB) Citations (8)
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DOI: https://doi.org/10.4213/tmf8970
Abstract: We develop the star-product formalism for spin states and consider different methods for constructing operator systems forming sets of dequantizers and quantizers, establishing a relation between them. We study the physical meaning of the operator symbols related to them. Quantum tomograms can also serve as operator symbols. We show that the possibility to express discrete Wigner functions in terms of measurable quantities follows because these functions can be related to quantum tomograms. We investigate the physical meaning of tomograms and spin-system tomogram symbols, which they acquire in the framework of the star-product formalism. We study the structure of the sum kernels, which can be used to express the operator symbols, calculated using different sets of dequantizers and also arising in calculating the star product of operator symbols, in terms of one another.
Keywords: star product, quantizer, dequantizer, discrete Wigner function, kernel, fidelity, purity parameter.
Funding agency Grant number
Hungarian Scientific Research Fund (OTKA) K83858
The research of V. A. Andreev, V. I. Man'ko, and M. A. Man'ko was supported by the Hungarian Scientific Research Fund (OTKA Contract No. K83858). The research of A. Isar was supported the Ministry of Education and Scientific Research, Romania (Project No. CNCS-UEFISCDI PN-II-ID-PCE-2011-3-0083).}
Received: 28.05.2015
Revised: 18.06.2015
English version:
Theoretical and Mathematical Physics, 2016, Volume 186, Issue 3, Pages 346–364
DOI: https://doi.org/10.1134/S0040577916030041
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: P. Adam, V. A. Andreev, A. Isar, V. I. Man'ko, M. A. Man'ko, “Star product, discrete Wigner functions, and spin-system tomograms”, TMF, 186:3 (2016), 401–422; Theoret. and Math. Phys., 186:3 (2016), 346–364
Citation in format AMSBIB
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\paper Star product, discrete Wigner functions, and spin-system tomograms
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\vol 186
\issue 3
\pages 401--422
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\jour Theoret. and Math. Phys.
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\pages 346--364
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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