Constructing entanglement witnesses for infinite-dimensional systems

Physics – Mathematical Physics

Scientific paper

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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.

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