Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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AN ALGORITHM FOR CHECKING EXTREMALITY OF ENTANGLED STATES WITH POSITIVE PARTIAL TRANSPOSES

  • Ha, Kil-Chan (Department of Applied Mathematics Sejong University)
  • Received : 2010.05.06
  • Accepted : 2010.08.12
  • Published : 2010.12.30
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Abstract

We characterize extreme rays of the cone $\mathbb{T}$ of all positive semi-definite block matrices whose partial transposes are also positive semi-definite. We also construct an algorithm checking whether a given PPTES generates an extreme ray in the cone $\mathbb{T}$ or not. Using this algorithm, we give an example of $4{\otimes}4$ PPT entangle state of the type (5, 5), which generates extreme ray of the cone $\mathbb{T}$.

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Acknowledgement

Supported by : Sejong University

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