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Teoreticheskaya i Matematicheskaya Fizika, 2009, Volume 160, Number 1, Pages 143–156
DOI: https://doi.org/10.4213/tmf6386 (Mi tmf6386) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Quantum Fourier transform and tomographic Rényi entropic inequalities

M. A. Man'ko, V. I. Man'ko

P. N. Lebedev Physical Institute, Russian Academy of Sciences
Full-text PDF (414 kB) Citations (10)
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DOI: https://doi.org/10.4213/tmf6386
Abstract: We show that the Rényi entropy associated with spin tomograms of quantum states satisfies new inequalities that depend on the quantum Fourier transform. We obtain the limiting inequality for the von Neumann entropy of quantum spin states and a new kind of entropy associated with the quantum Fourier transform. We consider possible connections with subadditivity and strong subadditivity conditions for tomographic entropies and von Neumann entropies.
Keywords: uncertainty relation, entropy, quantum tomography, quantum Fourier transform.
English version:
Theoretical and Mathematical Physics, 2009, Volume 160, Issue 1, Pages 995–1005
DOI: https://doi.org/10.1007/s11232-009-0090-7
Bibliographic databases:
Language: Russian
Citation: M. A. Man'ko, V. I. Man'ko, “Quantum Fourier transform and tomographic Rényi entropic inequalities”, TMF, 160:1 (2009), 143–156; Theoret. and Math. Phys., 160:1 (2009), 995–1005
Citation in format AMSBIB
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\by M.~A.~Man'ko, V.~I.~Man'ko
\paper Quantum Fourier transform and tomographic R\'enyi entropic inequalities
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\transl
\jour Theoret. and Math. Phys.
\yr 2009
\vol 160
\issue 1
\pages 995--1005
\crossref{https://doi.org/10.1007/s11232-009-0090-7}
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Linking options:
  • https://www.mathnet.ru/eng/tmf6386
  • https://doi.org/10.4213/tmf6386
  • https://www.mathnet.ru/eng/tmf/v160/i1/p143
    • This publication is cited in the following 10 articles:
    1. E. O. Kiktenko, A. K. Fedorov, O. V. Man'ko, V. I. Man'ko, “Multilevel superconducting circuits as two-qubit systems: Operations, state preparation, and entropic inequalities”, Phys. Rev. A, 91:4 (2015), 42312–7  mathnet  crossref  isi  scopus
    2. J Sperling, W Vogel, “Convex ordering and quantification of quantumness”, Phys. Scr., 90:7 (2015), 074024  crossref
    3. Kiktenko E. Fedorov A., “Tomographic Causal Analysis of Two-Qubit States and Tomographic Discord”, Phys. Lett. A, 378:24-25 (2014), 1704–1710  crossref  mathscinet  zmath  isi  scopus
    4. 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  crossref  isi  scopus
    5. 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  crossref  adsnasa  isi  scopus
    6. 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, ed. DAriano M. Fei S. Haven E. Hiesmayr B. Jaeger G. Khrennikov A. Larsson J., Amer Inst Physics, 2012  crossref  mathscinet  isi  scopus
    7. Man'ko M.A., Man'ko V.I., “Probability Description and Entropy of Classical and Quantum Systems”, Found Phys, 41:3 (2011), 330–344  crossref  mathscinet  zmath  adsnasa  isi  scopus
    8. M. A. Man'ko, “Probability representation of spin states and inequalities for unitary matrices”, Theoret. and Math. Phys., 168:1 (2011), 985–993  mathnet  crossref  crossref  mathscinet  adsnasa  isi
    9. Man'ko M.A., “Entropic inequalities in classical and quantum domains”, Phys. Scripta, 82:3 (2010), 038109  crossref  zmath  adsnasa  isi  scopus
    10. Man'ko, MA, “Quantum and Classical Inequalities for Tomographic Entropies”, Journal of Russian Laser Research, 30:5 (2009), 514  crossref  isi  scopus
    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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