Abstract
We discuss the phenomenon of quantum steering and probabilistic meaning of the correlations for the state of the single qudit. We employ the qubit-portrait method of qudit states to extend the known steering detection inequality to the systems without subsystems. The example of the X-state with j = 3/2 is studied in detail.
Similar content being viewed by others
References
E. Schrödinger, Math. Proc. Cambridge Philos. Soc., 31, 555 (1935).
A. Einstein, B. Podolsky, and N. Rosen, Phys. Rev., 47, 777 (1935).
R. F. Werner, J. Phys. A: Math. Theor., 47, 424008 (2014).
J. L. Chen, X. J. Ye, C.F.Wu, et al., Sci. Rep., 3, 2143 (2013).
D. J. Saunders, S. J. Jones, H. M. Wiseman and G. J. Pryde, Nature Phys., 6, 845 (2010).
S. Jevtic, M. Pusey, D. Jennings, and T. Rudolph, Phys. Rev. Lett., 113, 020402 (2014).
M. Marciniak, Z. Yin, A. Rutkowski, et al., “Unbounded violation of steering inequalities for binary output,” arXiv:1411.5994 (2014).
M. Żukowski, A. Dutta, and Z. Yin, Phys. Rev. A, 91, 032107 (2015)
J. Schneeloch, C. J. Broadbent, S. P. Walborn, et al., Phys. Rev. A, 87, 062103 (2013).
J. Schneeloch, C. J. Broadbenta, and J. C. Howella, “Improving Einstein–Podolsky–Rosen steering inequalities with state information,” arXiv:1308.1967 (2013).
H. M. Wiseman, S. J. Jones, and A. C. Doherty, Phys. Rev. Lett., 98, 140402 (2007).
V. N. Chernega, O. V. Man’ko, and V. I. Man’ko, J. Russ. Laser Res., 34, 383 (2013).
V. N. Chernega and O. V. Man’ko, J. Russ. Laser Res., 35, 27 (2014).
V. N. Chernega, O. V. Man’ko, and V.I. Man’ko, J. Russ. Laser Res., 35, 278 (2014).
V. I. Man’ko and L. A. Markovich, J. Russ. Laser Res., 35, 518 (2014).
M. A. Man’ko and V. I. Man’ko, “Hidden quantum correlations in single qudit systems,” arXiv:1507.06264; J. Russ. Laser Res., 36, 301 (2015).
R. F. Werner, Phys. Rev. A, 40, 4277 (1989).
E. O. Kiktenko, A. K. Fedorov, O. V. Man’ko, and V. I. Man’ko, Phys Rev. A, 91, 042312 (2015).
A. R. Kessel and V. L. Ermakov, JETP Lett., 70, 61 (1999).
A. Peres, Phys. Rev. Lett., 77, 1413 (1996).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Man’ko, V.I., Markovich, L.A. Steering and Correlations for a Single Qudit State on the Example of Spin j =3/2. J Russ Laser Res 36, 343–349 (2015). https://doi.org/10.1007/s10946-015-9508-x
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10946-015-9508-x