On the Non-k-Separability of Dicke Class of States and N-Qudit W States

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• 作者：N. Ananth ; M. Senthilvelan
• 关键词：Non ; k ; separability ; Genuine multipartite entanglement ; Dicke state ; W state
• 刊名：International Journal of Theoretical Physics
• 出版年：2016
• 出版时间：March 2016
• 年：2016
• 卷：55
• 期：3
• 页码：1854-1870
• 全文大小：435 KB
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• 作者单位：N. Ananth (1)
  M. Senthilvelan (1)
  
  1. Centre for Nonlinear Dynamics, School of Physics, Bharathidasan University, Tiruchirappalli -, 620024, Tamilnadu, India
  
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Physics
  Quantum Physics
  Elementary Particles and Quantum Field Theory
  Mathematical and Computational Physics
  
• 出版者：Springer Netherlands
• ISSN：1572-9575

文摘

In this paper, we present the separability criteria to identify non-k-separability and genuine multipartite entanglement in mixed multipartite states using elements of density matrices. Our criteria can detect the non-k-separability of Dicke class of states, anti W states and mixtures thereof and higher dimensional W class of states. We then investigate the performance of our criteria by considering N-qubit Dicke states with arbitrary excitations added with white noise and mixture of N-qudit W state with white noise. We also study the robustness of our criteria against white noise. Further, we demonstrate that our criteria are experimentally implementable by means of local observables such as Pauli matrices and generalized Gell-Mann matrices. Keywords Non-k-separability Genuine multipartite entanglement Dicke state W state