Acta mathematica scientia,Series A ›› 2013, Vol. 33 ›› Issue (2): 309-316.

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Tangle of Arbitrary Dimensional Bipartite Quantum States

 LI Bin1,2, SHEN Guang-Yan2   

  1. 1.Department of Mathematics, Capital Normal University, Beijing 100037;
    2.Department of Mathematics and Statistics, Northeast Normal University, Changchun 130024
  • Received:2011-05-27 Revised:2012-11-15 Online:2013-04-25 Published:2013-04-25

Abstract:

We derive two analytical lower bounds for one of entanglement measures called tangle (squared \emph{I}-concurrence) of a bipartite
quantum state in arbitrary dimension by two different ways. They are achieved by an important connection among the concurrence, the
well-known Peres-Horodecki, and realignment criteria. At last we give a comparison and find their internal relation of this two bounds.

Key words: Bipartite quantum state in arbitrary dimension, Tangle, the realignment criteria,   the Peres-Horodecki criteria

CLC Number: 

  • 81S10
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