Quantifying nonclassicality of correlations based on the concept of nondisruptive local state identification

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• 作者：Azam Kheirollahi ; Seyed Javad Akhtarshenas…
• 关键词：Quantum correlation ; Nondisruptive local state identification ; Schatten p ; norm ; Entanglement monotone
• 刊名：Quantum Information Processing
• 出版年：2016
• 出版时间：April 2016
• 年：2016
• 卷：15
• 期：4
• 页码：1585-1599
• 全文大小：553 KB
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• 作者单位：Azam Kheirollahi (1)
  Seyed Javad Akhtarshenas (2)
  Hamidreza Mohammadi (1) (3)
  
  1. Department of Physics, University of Isfahan, Isfahan, Iran
  2. Department of Physics, Ferdowsi University of Mashhad, Mashhad, Iran
  3. Quantum Optics Group, University of Isfahan, Isfahan, Iran
  
• 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

A bipartite state is classical with respect to party A if and only if party A can perform nondisruptive local state identification (NDLID) by a projective measurement. Motivated by this we introduce a class of quantum correlation measures for an arbitrary bipartite state. The measures utilize the general Schatten p-norm to quantify the amount of departure from the necessary and sufficient condition of classicality of correlations provided by the concept of NDLID. We show that for the case of Hilbert–Schmidt norm, i.e., \(p=2\), a closed formula is available for an arbitrary bipartite state. The reliability of the proposed measures is checked from the information-theoretic perspective. Also, the monotonicity behavior of these measures under LOCC is exemplified. The results reveal that for the general pure bipartite states these measures have an upper bound which is an entanglement monotone in its own right. This enables us to introduce a new measure of entanglement, for a general bipartite state, by convex roof construction. Some examples and comparison with other quantum correlation measures are also provided.