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Paper   IPM / Physic / 6934
School of Physics
  Title:   Separability Criterion Induced from Cross Norm is Not Equivalent to Positive Partial Transpose
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
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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