Tuesday, January 1, 2013

1212.6378 (Kil-Chan Ha)

Separability of qubit-qudit quantum states with strong positive partial
transposes
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Kil-Chan Ha
We show that all $2\otimes 4$ states with strong positive partial transposes (SPPT) are separable. We also construct a family of $2\otimes 5$ entangled SPPT states, so the conjecture on the separability of SPPT states are completely settled. In addition, we clarify the relation between the set of all $2\otimes d$ separable states and the set of all $2\otimes d$ SPPT states for the case of $d=3,4$.
View original: http://arxiv.org/abs/1212.6378

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