Geometric quantum discord under noisy environment

Geometric quantum discord under noisy environment In this work, we mainly analyze the dynamics of geometric quantum discord under a common dissipating environment. Our results indicate that geometric quantum discord is generated when the initial state is a product state. The geometric quantum discord increases from zero to a stable value with the increasing time, and the variations of stable values depend on the system size. For different initial product states, geometric quantum discord has some different behaviors in contrast with entanglement. For initial maximally entangled state, it is shown that geometric quantum discord decays with the increasing dissipated time. It is found that for EPR state, entanglement is more robust than geometric quantum discord, which is a sharp contrast to the existing result that quantum discord is more robust than entanglement in noisy environments. However, for GHZ state and W state, geometric quantum discord is more stable than entanglement. By the comparison of quantum discord and entanglement, we find that a common dissipating environment brings complicated effects on quantum correlation, which may deepen our understanding of physical impacts of decohering environment on quantum correlation. In the end, we analyze the effects of collective dephasing noise and rotating noise to a class of two-qubit X states, and we find that quantum correlation is not altered by the collective noises. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

Geometric quantum discord under noisy environment

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Publisher
Springer US
Copyright
Copyright © 2016 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/s11128-016-1261-8
Publisher site
See Article on Publisher Site

Abstract

In this work, we mainly analyze the dynamics of geometric quantum discord under a common dissipating environment. Our results indicate that geometric quantum discord is generated when the initial state is a product state. The geometric quantum discord increases from zero to a stable value with the increasing time, and the variations of stable values depend on the system size. For different initial product states, geometric quantum discord has some different behaviors in contrast with entanglement. For initial maximally entangled state, it is shown that geometric quantum discord decays with the increasing dissipated time. It is found that for EPR state, entanglement is more robust than geometric quantum discord, which is a sharp contrast to the existing result that quantum discord is more robust than entanglement in noisy environments. However, for GHZ state and W state, geometric quantum discord is more stable than entanglement. By the comparison of quantum discord and entanglement, we find that a common dissipating environment brings complicated effects on quantum correlation, which may deepen our understanding of physical impacts of decohering environment on quantum correlation. In the end, we analyze the effects of collective dephasing noise and rotating noise to a class of two-qubit X states, and we find that quantum correlation is not altered by the collective noises.

Journal

Quantum Information ProcessingSpringer Journals

Published: Feb 20, 2016

References

  • Quantum entanglement
    Horodecki, R; Horodecki, P; Horodecki, M; Horodecki, K
  • Sudden change of quantum discord for a system of two qubits
    Pinto, JPG; Karpat, G; Fanchini, FF
  • Analytic expression of quantum correlations in qutrit Werner states undergoing local and nonlocal unitary operations
    Li, GF; Liu, YM; Tang, HJ; Yin, XF; Zhang, ZJ
  • Analytic expressions of discord and geometric discord in Werner derivatives
    Tang, HJ; Liu, YM; Chen, JL; Ye, BL; Yin, XF; Zhang, ZJ
  • Quantum discord for two-qubit X states: analytical formula with very small worst-case error
    Huang, YH
  • Quantum discord and remote state preparation
    Giorgi, GL
  • Geometric measure of quantum discord
    Luo, SL; Fu, SS
  • Geometric interpretation of the geometric discord
    Yao, Y; Li, HW; Yin, ZQ; Han, ZF
  • Geometry and dynamics of one-norm geometric quantum discord
    Huang, ZH; Qiu, DW; Mateus, P

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