The minimal principals of Hermitian matrices and the negativity of bipartite of qubit states

Details The minimal principals of Hermitian matrices and the negativity of bipartite of qubit states The minimal principals of Hermitian matrices and the negativity of bipartite of qubit states

2007-06-28

arxiv.org/abs/0706.4278v1

Physics

Quantum Physics

4 pages

Scientific paper

Quantum entanglement is an enigmatic and powerful property that has attracted much attention due to its usefulness in new ways of communications, like quantum teleportation and quantum key distribution. Much effort has been done to quantify entanglement. Indeed, there exist some well-established separability criterion and analytical formulas for the entanglement of bipartite systems. In some of these, the crucial elements are the eigenvalues of the partial transpose of the density matrix. In this paper, we show that one can also have information about the entanglement of bipartite state, in C2xC2, looking at the minimal principals of the partial transpose.

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