International Journal of Theoretical Physics

, Volume 54, Issue 8, pp 3018–3025 | Cite as

Separability Criteria and Lower Bound for Concurrence Based on Hermitian Maps

  • Hao Guo
  • Fei Qi
  • Qiang Lei


In this paper, a class of matrix maps be preserving Hermitian are constructed. Based on these maps, for pure quantum states on any finite dimensional bipartite systems, we present a necessary and sufficient condition for separability, moreover, a new lower bound of concurrence is obtained.


Quantum states Entanglement Concurrence 



This project is supported by China Postdoctoral Science Foundation (2014M551655) and Natural Science Foundation of Jiangsu Province of China (BK20130325).


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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  1. 1.Robotics and Microsystems CenterSoochow UniversitySuzhouChina
  2. 2.School of Mechanical and Electric Engineering and Collaborative Innovation Center of Suzhou Nano Science and TechnologySoochow UniversitySuzhouChina
  3. 3.Department of MathematicsHarbin Institute of TechnologyHarbinChina

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