Rotationally invariant bipartite states and bound entanglement

Details Rotationally invariant bipartite states and bound entanglement Rotationally invariant bipartite states and bound entanglement

2007-01-29

arxiv.org/abs/quant-ph/0701222v1

Phys. Lett. A 363, pp. 182-191 (2007)

Physics

Quantum Physics

11 pages, 4 figures, accepted for publication in Physics Letters A

Scientific paper

10.1016/j.physleta.2006.11.036

We consider rotationally invariant states in $\mathbb{C}^{N_{1}}\ot \mathbb{C}^{N_{2}}$ Hilbert space with even $N_{1}\geq 4$ and arbitrary $N_{2}\geq N_{1}$, and show that in such case there always exist states which are inseparable and remain positive after partial transposition, and thus the PPT criterion does not suffice to prove separability of such systems. We demonstrate it applying a map developed recently by Breuer [H.-P. Breuer, Phys. Rev. Lett {\bf 97}, 080501 (2006)] to states that remain invariant after partial time reversal.

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