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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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\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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  • https://doi.org/10.4213/tmf6386
  • https://www.mathnet.ru/eng/tmf/v160/i1/p143
    • This publication is cited in the following 10 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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