Geometry and dynamics of one-norm geometric quantum discord

Geometry and dynamics of one-norm geometric quantum discord We investigate the geometry of one-norm geometric quantum discord and present a geometric interpretation of one-norm geometric quantum discord for a class of two-qubit states. It is found that one-norm geometric quantum discord has geometric behavior different from that described in Lang and Caves (Phys Rev Lett 105:150501, 2010), Li et al. (Phys Rev A 83:022321, 2011) and Yao et al. (Phys Lett A 376:358–364, 2012). We also compare the dynamics of the one-norm geometric quantum discord and other measures of quantum correlations under correlated noise. It is shown that different decoherent channels bring different influences to quantum correlations measured by concurrence, entropic quantum discord and geometric quantum discord, which depend on the memory parameter and decoherence parameter. We lay emphasis on the behaviors such as entanglement sudden death and sudden transition of quantum discord. Finally, we study the dynamical behavior of one-norm geometric quantum discord in one-dimensional anisotropic XXZ model by utilizing the quantum renormalization group method. It is shown that the one-norm geometric quantum discord demonstrates quantum phase transition through renormalization group approach. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

Geometry and dynamics of one-norm geometric quantum discord

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Publisher
Springer Journals
Copyright
Copyright © 2015 by Springer Science+Business Media New York
Subject
Physics; Quantum Information Technology, Spintronics; Quantum Computing; Data Structures, Cryptology and Information Theory; Quantum Physics; Mathematical Physics
ISSN
1570-0755
eISSN
1573-1332
D.O.I.
10.1007/s11128-015-1176-9
Publisher site
See Article on Publisher Site

Abstract

We investigate the geometry of one-norm geometric quantum discord and present a geometric interpretation of one-norm geometric quantum discord for a class of two-qubit states. It is found that one-norm geometric quantum discord has geometric behavior different from that described in Lang and Caves (Phys Rev Lett 105:150501, 2010), Li et al. (Phys Rev A 83:022321, 2011) and Yao et al. (Phys Lett A 376:358–364, 2012). We also compare the dynamics of the one-norm geometric quantum discord and other measures of quantum correlations under correlated noise. It is shown that different decoherent channels bring different influences to quantum correlations measured by concurrence, entropic quantum discord and geometric quantum discord, which depend on the memory parameter and decoherence parameter. We lay emphasis on the behaviors such as entanglement sudden death and sudden transition of quantum discord. Finally, we study the dynamical behavior of one-norm geometric quantum discord in one-dimensional anisotropic XXZ model by utilizing the quantum renormalization group method. It is shown that the one-norm geometric quantum discord demonstrates quantum phase transition through renormalization group approach.

Journal

Quantum Information ProcessingSpringer Journals

Published: Nov 13, 2015

References

  • Sudden change of quantum discord for a system of two qubits
    Pinto, JPG; Karpat, G; Fanchini, FF
  • Geometric measure of quantum discord
    Luo, SL; Fu, SS
  • Quantum correlating power of local quantum channels
    Hu, H; Fan, H; Zhou, DL; Liu, WM
  • Witnessed entanglement and the geometric measure of quantum discord
    Debarba, T; Maciel, TO; Vianna, RO
  • One-norm geometric quantum discord under decoherence
    Montealegre, JD; Paula, FM; Saguia, A; Sarandy, MS
  • Geometric quantum discord through the Schatten 1-norm
    Paula, FM; Oliveira, TR; Sarandy, MS
  • Negativity of quantumness and its interpretations
    Nakano, T; Piani, M; Adesso, G
  • Geometric interpretation of the geometric discord
    Yao, Y; Li, HW; Yin, ZQ; Han, ZF
  • Geometric measure of quantum discord for a two-parameter class of states in a qubit–qutrit system under various dissipative channels
    Wei, HR; Ren, BC; Deng, FG
  • Decoherent dynamics of quantum correlations in qubit–qutrit systems
    Guo, JL; Li, H; Long, GL

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