Geometry and dynamics of one-norm geometric quantum discord

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• 作者：Zhiming Huang ; Daowen Qiu ; Paulo Mateus
• 关键词：One ; norm geometric quantum discord ; Geometry ; Correlated noise ; Quantum phase transition ; XXZ model
• 刊名：Quantum Information Processing
• 出版年：2016
• 出版时间：January 2016
• 年：2016
• 卷：15
• 期：1
• 页码：301-326
• 全文大小：4,390 KB
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• 作者单位：Zhiming Huang (1) (2) (3)
  Daowen Qiu (1) (2)
  Paulo Mateus (4)
  
  1. Department of Computer Science, Sun Yat-sen University, Guangzhou, 510006, China
  2. The Guangdong Key Laboratory of Information Security Technology, Sun Yat-sen University, Guangzhou, 510006, China
  3. School of Economics and Management, Wuyi University, Jiangmen, 529020, China
  4. SQIG–Instituto de Telecomunicações, Departamento de Matemática, Instituto Superior Técnico, Av. Rovisco Pais, 1049-001, Lisbon, Portugal
  
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Physics
  Mathematics
  Engineering, general
  Computer Science, general
  Characterization and Evaluation Materials
  
• 出版者：Springer Netherlands
• ISSN：1573-1332

文摘

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.