Entanglement detection beyond the cross-norm or realignment criterion

Details Entanglement detection beyond the cross-norm or realignment criterion Entanglement detection beyond the cross-norm or realignment criterion

2007-09-24

arxiv.org/abs/0709.3766v6

Phys. Rev. A 77, 060301(R) (2008)

Physics

Quantum Physics

5 pages, 1 figure; Theorem 2 added; a new proposition added; a note added

Scientific paper

10.1103/PhysRevA.77.060301

Separability problem, to decide whether a given state is entangled or not, is a fundamental problem in quantum information theory. We propose a powerful and computationally simple separability criterion, which allows us to detect the entanglement of many bound entangled states. The criterion is strictly stronger than the dV criterion, the computable cross-norm or realignment criterion and its optimal nonlinear entanglement witnesses. Furthermore, this criterion can be generalized to an analogue of permutation separability criteria in the even-partite systems.

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