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Pis'ma v Zh. Èksper. Teoret. Fiz., 2013, Volume 97, Issue 9, Pages 642–648 (Mi jetpl3421)  

This article is cited in 7 scientific papers (total in 7 papers)

SCIENTIFIC SUMMARIES

Quantum correlations and tomographic representation

O. V. Man'ko, V. N. Chernega

P. N. Lebedev Physical Institute, Russian Academy of Sciences

Abstract: We review the probabilistic representation of quantum mechanics within which states are described by the probability distribution rather than by the wavefunction and density matrix. Uncertainty relations have been obtained in the form of integral inequalities containing measurable optical tomograms of quantum states. Formulas for the transition probabilities and purity parameter have been derived in terms of the tomographic probability distributions. Inequalities for Shannon and Rйnyi entropies associated with quantum tomograms have been obtained. A scheme of the star product of tomograms has been developed.

DOI: https://doi.org/10.7868/S0370274X13090129

Full text: PDF file (173 kB)
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English version:
Journal of Experimental and Theoretical Physics Letters, 2013, 97:9, 557–563

Bibliographic databases:

Document Type: Article
Received: 01.04.2013

Citation: O. V. Man'ko, V. N. Chernega, “Quantum correlations and tomographic representation”, Pis'ma v Zh. Èksper. Teoret. Fiz., 97:9 (2013), 642–648; JETP Letters, 97:9 (2013), 557–563

Citation in format AMSBIB
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\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
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\pages 642--648
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\vol 97
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Chernega V.N., Man'ko O.V., Man'ko V.I., “Generalized Qubit Portrait of the Qutrit-State Density Matrix”, J. Russ. Laser Res., 34:4 (2013), 383–387  crossref  isi  elib  scopus
    2. Chernega V.N., Man'ko O.V., Man'ko V.I., “Subadditivity Condition for Spin Tomograms and Density Matrices of Arbitrary Composite and Noncomposite Qudit Systems”, J. Russ. Laser Res., 35:3 (2014), 278–290  crossref  isi  elib  scopus
    3. Man'ko M.A., Man'ko V.I., “The Quantum Strong Subadditivity Condition for Systems Without Subsystems”, Phys. Scr., T160 (2014), 014030  crossref  adsnasa  isi  scopus
    4. Chernega V.N., Man'ko O.V., “Tomographic and Improved Subadditivity Conditions for Two Qubits and a Qudit with J=3/2”, J. Russ. Laser Res., 35:1 (2014), 27–38  crossref  isi  elib  scopus
    5. Man'ko M.A., Man'ko V.I., “Quantum Correlations Expressed as Information and Entropic Inequalities For Composite and Noncomposite Systems”, Symmetries in Science Xvi, Journal of Physics Conference Series, 538, IOP Publishing Ltd, 2014, 012016  crossref  isi  scopus
    6. P. Adam, V. A. Andreev, A. Isar, V. I. Man'ko, M. A. Man'ko, “Star product, discrete Wigner functions, and spin-system tomograms”, Theoret. and Math. Phys., 186:3 (2016), 346–364  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    7. V. N. Chernega, O. V. Man'ko, V. I. Man'ko, “Probability Representation of Quantum Observables and Quantum States”, J. Russ. Laser Res., 38:4 (2017), 324–333  crossref  isi  scopus
  • Письма в Журнал экспериментальной и теоретической физики Pis'ma v Zhurnal Иksperimental'noi i Teoreticheskoi Fiziki
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