Quantum Information Processing

, Volume 15, Issue 9, pp 3761–3771 | Cite as

Lower bound on concurrence for arbitrary-dimensional tripartite quantum states

  • Wei Chen
  • Shao-Ming Fei
  • Zhu-Jun Zheng


In this paper, we study the concurrence of arbitrary-dimensional tripartite quantum states. An explicit operational lower bound of concurrence is obtained in terms of the concurrence of substates. A given example shows that our lower bound may improve the well-known existing lower bounds of concurrence. The significance of our result is to get a lower bound when we study the concurrence of arbitrary \(m\otimes n\otimes l\)-dimensional tripartite quantum states.


Concurrence Lower bound of concurrence Tripartite quantum states Substates 



This project is supported by NSFC through Grants No. 11571119, 11405060, 11475178 and 11275131.


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Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  1. 1.School of Automation Science and EngineeringSouth China University of TechnologyGuangzhouChina
  2. 2.School of Mathematical SciencesCapital Normal UniversityBeijingChina
  3. 3.Max-Planck-Institute for Mathematics in the SciencesLeipzigGermany
  4. 4.School of MathematicsSouth China University of TechnologyGuangzhouChina

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