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Paper   IPM / P / 6934
School of Physics
Title:   Separability Criterion Induced from Cross Norm is Not Equivalent to Positive Partial Transpose
Author(s):
 1 S.J. Akhtarshenas 2 M.A. Jafarizadeh
Status:   Published
Journal: J. Phys. A: Math. Gen.
No.:  5
Vol.:  36
Year:  2003
Pages:   1509-1513
Supported by:  IPM
Abstract:
Recently, a computational criterion of separability induced by the greatest cross norm was proposed by Rudolph (2002 Preprint quant-ph/0202121). There, Rudolph conjectured that the new criterion is neither weaker nor stronger than the positive partial-transpose criterion for separability. We show that there exists a counterexample to the this claim, that is, the proposed criterion is not equivalent to the positive partial-transpose criterion.

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