Extremal extensions of entanglement witnesses: Unearthing new bound entangled states

Details Extremal extensions of entanglement witnesses: Unearthing new bound entangled states Extremal extensions of entanglement witnesses: Unearthing new bound entangled states

2011-06-21

arxiv.org/abs/1106.4279v1

Physics

Quantum Physics

8 pages 6 figures revtex4-1

Scientific paper

In this paper, we discuss extremal extensions of entanglement witnesses based on Choi's map. The constructions are based on a generalization of the Choi map due to Osaka, from which we construct entanglement witnesses. These extremal extensions are powerful in terms of their capacity to detect entanglement of positive under partial transpose (PPT) entangled states and lead to unearthing of entanglement of new PPT states. We also use the Cholesky-like decomposition to construct entangled states which are revealed by these extremal entanglement witnesses.

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