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Zapiski Nauchnykh Seminarov POMI, 2016, Volume 448, Pages 270–285 (Mi znsl6317)  
This article is cited in 2 scientific papers (total in 2 papers)

The spectrum and separability of mixed two-qubit $X$-states

A. Khvedelidzeabc, A. Torosyand

a A. Razmadze Mathematical Institute, Iv. Javakhishvili Tbilisi State University, Tbilisi, Georgia
b Institute of Quantum Physics and Engineering Technologies, Georgian Technical University, Tbilisi, Georgia
c National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), 115409 Moscow, Russia
d Laboratory of Information Technologies, Joint Institute for Nuclear Research, 141980 Dubna, Russia
Full-text PDF (277 kB) Citations (2)
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Abstract: The separable mixed two-qubit $X$-states are classified in accordance with the degeneracies in the spectrum of density matrices. It is shown that there are four classes of separable $X$-states, among them: one four-dimensional family, a pair of two-dimensional families, and a single zero-dimensional maximally mixed state.
Key words and phrases: group actions, Lie group orbits, quantum entanglement.
Received: 17.09.2016
English version:
Journal of Mathematical Sciences (New York), 2017, Volume 224, Issue 2, Pages 349–359
DOI: https://doi.org/10.1007/s10958-017-3421-5
Bibliographic databases:
Document Type: Article
UDC: 512.816.2+530.145
Language: English
Citation: A. Khvedelidze, A. Torosyan, “The spectrum and separability of mixed two-qubit $X$-states”, Representation theory, dynamical systems, combinatorial methods. Part XXVII, Zap. Nauchn. Sem. POMI, 448, POMI, St. Petersburg, 2016, 270–285; J. Math. Sci. (N. Y.), 224:2 (2017), 349–359
Citation in format AMSBIB
\Bibitem{KhvTor16}
\by A.~Khvedelidze, A.~Torosyan
\paper The spectrum and separability of mixed two-qubit $X$-states
\inbook Representation theory, dynamical systems, combinatorial methods. Part~XXVII
\serial Zap. Nauchn. Sem. POMI
\yr 2016
\vol 448
\pages 270--285
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6317}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3576264}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2017
\vol 224
\issue 2
\pages 349--359
\crossref{https://doi.org/10.1007/s10958-017-3421-5}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85019766071}
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  • https://www.mathnet.ru/eng/znsl/v448/p270
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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