Details
| Original language | English |
|---|---|
| Pages (from-to) | 032310 |
| Number of pages | 1 |
| Journal | Phys. Rev. A |
| Volume | 66 |
| Issue number | 3 |
| Publication status | Published - 2002 |
Abstract
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In: Phys. Rev. A, Vol. 66, No. 3, 2002, p. 032310.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Asymptotic relative entropy of entanglement for orthogonally invariant states
AU - Audenaert, K
AU - De Moor, B
AU - Vollbrecht, K. G. H.
AU - Werner, R. F.
PY - 2002
Y1 - 2002
N2 - For a special class of bipartite states we calculate explicitly the asymptotic relative entropy of entanglement Esb Rspinfty with respect to states having a positive partial transpose. This quantity is an upper bound to distillable entanglement. The states considered are invariant under rotations of the form O where O is any orthogonal matrix. We show that in this case Esb Rsp constructed by Rains. To perform these calculations, we have introduced a number of results that are interesting in their own right: (i) the Rains bound is convex and continuous; (ii) under some weak assumption, the Rains bound is an upper bound to Esb Rsp (iii) for states for which the relative entropy of entanglement E the Rains bound is equal to Esb R.
AB - For a special class of bipartite states we calculate explicitly the asymptotic relative entropy of entanglement Esb Rspinfty with respect to states having a positive partial transpose. This quantity is an upper bound to distillable entanglement. The states considered are invariant under rotations of the form O where O is any orthogonal matrix. We show that in this case Esb Rsp constructed by Rains. To perform these calculations, we have introduced a number of results that are interesting in their own right: (i) the Rains bound is convex and continuous; (ii) under some weak assumption, the Rains bound is an upper bound to Esb Rsp (iii) for states for which the relative entropy of entanglement E the Rains bound is equal to Esb R.
U2 - 10.1103/PhysRevA.66.032310
DO - 10.1103/PhysRevA.66.032310
M3 - Article
VL - 66
SP - 032310
JO - Phys. Rev. A
JF - Phys. Rev. A
SN - 2469-9934
IS - 3
ER -