S. De Nicola, R. Fedele, M. A. Man'ko, V. I. Man'ko, “New inequalities for tomograms in the probability representation of quantum states”, TMF, 152:2 (2007), 241–247; Theoret. and Math. Phys., 152:2 (2007), 1081

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Teoreticheskaya i Matematicheskaya Fizika, 2007, Volume 152, Number 2, Pages 241–247
DOI: https://doi.org/10.4213/tmf6084 (Mi tmf6084)

This article is cited in 24 scientific papers (total in 24 papers)

New inequalities for tomograms in the probability representation of quantum states

S. De Nicola^a, R. Fedele^bc, M. A. Man'ko^d, V. I. Man'ko^d

^a Istituto di Cibernetica "Eduardo Caianiello"
^b Università degli Studi di Napoli Federico II
^c Complesso Universitario di Monte S. Angelo
^d P. N. Lebedev Physical Institute, Russian Academy of Sciences

Full-text PDF (328 kB) Citations (24)

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DOI: https://doi.org/10.4213/tmf6084

Abstract: We discuss new inequalities for symplectic tomograms of quantum states and their connection with entropic uncertainty relations in the framework of the probability representation of quantum mechanics.

Keywords: tomographic map, symplectic tomography, entropic uncertainty relation, tomogram inequalities.

English version:
Theoretical and Mathematical Physics, 2007, Volume 152, Issue 2, Pages 1081–1086
DOI: https://doi.org/10.1007/s11232-007-0092-2

Bibliographic databases:

Language: Russian

Citation: S. De Nicola, R. Fedele, M. A. Man'ko, V. I. Man'ko, “New inequalities for tomograms in the probability representation of quantum states”, TMF, 152:2 (2007), 241–247; Theoret. and Math. Phys., 152:2 (2007), 1081–1086

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https://www.mathnet.ru/eng/tmf6084

https://doi.org/10.4213/tmf6084

https://www.mathnet.ru/eng/tmf/v152/i2/p241

This publication is cited in the following 24 articles:

De Nicola S., Fedele R., Jovanovic D., Man'ko M.A., Man'ko V.I., “Tomographic Description of a Quantum Wave Packet in An Accelerated Frame”, Entropy, 23:5 (2021), 636
Laha P., Lakshmibala S., Balakrishnan V., “Nonclassical Effects in Optomechanics: Dynamics and Collapse of Entanglement”, J. Opt. Soc. Am. B-Opt. Phys., 36:3 (2019), 575–584
Jong Ch., Ri B.-I., Yu G.-D., Kim S.-G., Jo S.-I., Jon Sh.-H., “Ensemble in Phase Space: Statistical Formalism of Quantum Mechanics”, Pramana-J. Phys., 92:5 (2019), 83
Laha P., Lakshmibala S., Balakrishnan V., “Estimation of Nonclassical Properties of Multiphoton Coherent States From Optical Tomograms”, J. Mod. Opt., 65:12 (2018), 1466–1478
A. K. Fedorov, E. O. Kiktenko, O. V. Man'ko, V. I. Man'ko, “Tomographic discord for a system of two coupled nanoelectric circuits”, Phys. Scr., 90:5 (2015), 55101–13
Kiktenko E., Fedorov A., “Tomographic Causal Analysis of Two-Qubit States and Tomographic Discord”, Phys. Lett. A, 378:24-25 (2014), 1704–1710
Man'ko M.A., Man'ko V.I., “Inequalities for Nonnegative Numbers and Information Properties of Qudit Tomograms”, J. Russ. Laser Res., 34:3 (2013), 203–218
Man'ko M.A., Man'ko V.I., “States in the Weyl-Wigner and Tomographic-Probability Representations and Entropic Inequalities”, Phys. Scr., T147 (2012), 014020
Man'ko M.A., Man'ko V.I., “The Probability Representation as a New Formulation of Quantum Mechanics”, Symmetries in Science XV, Journal of Physics Conference Series, 380, IOP Publishing Ltd, 2012, 012005
Man'ko M.A., Man'ko V.I., “Statistics of Observables in the Probability Representation of Quantum and Classical System States”, Foundations of Probability and Physics - 6, AIP Conference Proceedings, 1424, eds. DAriano M., Fei S., Haven E., Hiesmayr B., Jaeger G., Khrennikov A., Larsson J., Amer Inst Physics, 2012
Man'ko M.A., “Entropic inequalities for center-of-mass tomograms”, Phys Scripta, T143 (2011), 014017
Man'ko M.A., Man'ko V.I., “Probability Description and Entropy of Classical and Quantum Systems”, Found Phys, 41:3 (2011), 330–344
Man'ko M.A., Man'ko V.I., “Dynamic symmetries and entropic inequalities in the probability representation of quantum mechanics”, Latin-American School of Physics XL ELAF: Symmetries in Physics, AIP Conference Proceedings, 1334, 2011, 217–248
Man'ko M.A., “Information and entropic characteristics of photon and qudit quantum states”, Phys Scripta, T140 (2010), 014027
Fesenko P.N., Man'ko V.I., “Tomographic probability and entropic inequalities for special functions”, Journal of Russian Laser Research, 31:4 (2010), 368–379
M. A. Man'ko, V. I. Man'ko, “Quantum Fourier transform and tomographic Rényi entropic inequalities”, Theoret. and Math. Phys., 160:1 (2009), 995–1005
Man'ko M.A., Man'ko V.I., Nguyen Cong Thanh, Nguyen Hung Son, Timofeev Yu.P., Zakharov S.D., “Tomographic-probability representation of the quantum scalar field”, Journal of Russian Laser Research, 30:1 (2009), 1–11
Man'ko M.A., “Quantum and classical inequalities for tomographic entropies”, Journal of Russian Laser Research, 30:5 (2009), 514–524
De Nicola S., Fedele R., Man'ko M.A., Man'ko V.I., “Entropic uncertainty relations for electromagnetic beams”, Phys. Scr., T135 (2009), 014053, 5 pp.
Man'ko V.I., “Semigroups of tomographic probabilities and quantum correlations”, 5th International Symposium on Quantum Theory and Symmetries QTS5, Journal of Physics Conference Series, 128, 2008

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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