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arXiv:quant-ph/0208041

Remarks on the Cross Norm Criterion for Separability

Seyed Javad Akhtarshenas, M. A. Jafarizadeh

Published Aug 6, 2002• 2 citations
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Abstract

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.

DOI
10.48550/arxiv.quant-ph/0208041

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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.