Remarks on the Cross Norm Criterion for Separability

Details Remarks on the Cross Norm Criterion for Separability Remarks on the Cross Norm Criterion for Separability

2002-08-06

arxiv.org/abs/quant-ph/0208041v1

Physics

Quantum Physics

10 pages, Latex

Scientific paper

Recently in Reference [ quant-ph/0202121] a computational criterion of separability induced by greatest cross norm is proposed by Rudolph. There, Rudolph conjectured that the new criterion is not weaker than positive partial transpose criterion for separability. We show that there exist counterexample to this claim, that is, proposed criterion is weaker than the positive partial transpose criterion.

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