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Journal of Russian Laser Research

, Volume 35, Issue 5, pp 518–524 | Cite as

Separability and Entanglement of the Qudit X-State with j = 3/2

  • Vladimir I. Man’ko
  • L. A. Markovich
Article

Abstract

We study the qudit state with spin j = 3/2 and the density matrix of the form corresponding to the X state of two qubits and consider the entanglement and separability properties. We use the qubit portrait of qudit states to obtain the entropic inequalities for the entangled state of a single qudit. We present the tomographic-probability representation of the qudit X-state and obtain the Shannon and q entropic characteristics in explicit forms.

Keywords

separability entanglement entropic inequalities X-state tomographic probability single qudit 

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Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  1. 1.P. N. Lebedev Physical InstituteRussian Academy of SciencesMoscowRussia
  2. 2.Moscow Institute of Physics and Technology (State University)DolgoprudnyíRussia
  3. 3.Institute of Control SciencesRussian Academy of SciencesMoscowRussia

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