Physics – Mathematical Physics
Scientific paper
2010-05-30
Physical Review A 81, 062351 (2010)
Physics
Mathematical Physics
15 pages
Scientific paper
10.1103/PhysRevA.81.062351
It is shown that, every entangled state in an infinite-dimensional composite system has a simple entanglement witness of the form $\alpha I+T$ with $\alpha$ a nonnegative number and $T$ a finite rank self-adjoint operator. We also provide two methods of constructing entanglement witness and apply them to obtain some entangled states that cannot be detected by the PPT criterion and the realignment criterion.
Hou Jinchuan
Qi Xiaofei
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