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Title of Journal: Quantum Inf Process

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Abbravation: Quantum Information Processing

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Springer US

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DOI

10.1007/s00246-012-0232-9

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1573-1332

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Geometry and dynamics of onenorm geometric quantu

Authors: Zhiming Huang Daowen Qiu Paulo Mateus
Publish Date: 2015/11/13
Volume: 15, Issue: 1, Pages: 301-326
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Abstract

We investigate the geometry of onenorm geometric quantum discord and present a geometric interpretation of onenorm geometric quantum discord for a class of twoqubit states It is found that onenorm geometric quantum discord has geometric behavior different from that described in Lang and Caves Phys Rev Lett 105150501 2010 Li et al Phys Rev A 83022321 2011 and Yao et al Phys Lett A 376358–364 2012 We also compare the dynamics of the onenorm 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 onenorm geometric quantum discord in onedimensional anisotropic XXZ model by utilizing the quantum renormalization group method It is shown that the onenorm geometric quantum discord demonstrates quantum phase transition through renormalization group approachThe authors are grateful to the referees for invaluable suggestions that help us improve the quality of the paper This work is supported in part by the National Natural Science Foundation of China Nos 61272058 61572532 and FCT PEstOE/EEI/LA0008/2013 project namely through the IT internal project CVQuantum


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  2. Super quantum discord for general two qubit X states
  3. Non-Markovian entanglement dynamics of two qubits interacting with a common electromagnetic field
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  10. A quantization procedure based on completely positive maps and Markov operators
  11. On conclusive eavesdropping and measures of mutual information in quantum key distribution
  12. The CGMV method for quantum walks
  13. Concurrence in the framework of coherent states
  14. Noncyclic geometric quantum computation and preservation of entanglement for a two-qubit Ising model
  15. Noise and the magic square game
  16. Nuclear polarization and entanglement in spin systems
  17. Controllability and Universal Three-qubit Quantum Computation with Trapped Electron States
  18. Quantum relative phase, m -tangle, and multi-local Lorentz-group invariant
  19. Perfect state transfer by means of discrete-time quantum walk on complete bipartite graphs
  20. Dynamics of one-dimensional tight-binding models with arbitrary time-dependent external homogeneous fields
  21. Classical–quantum arbitrarily varying wiretap channel: Ahlswede dichotomy, positivity, resources, super-activation
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