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Title: Asymptotic relative entropy of entanglement for orthogonally invariant states
Authors: Audenaert, Koenraad ×
De Moor, Bart
Vollbrecht, KGH
Werner, RF #
Issue Date: Sep-2002
Publisher: American physical soc
Series Title: Physical Review A, Atomic, Molecular and Optical Physics vol:66 issue:3 pages:032310
Abstract: For a special class of bipartite states we calculate explicitly the asymptotic relative entropy of entanglement E-R(infinity) 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 Ocircle timesO, where O is any orthogonal matrix. We show that in this case E-R(infinity) is equal to another upper bound on distillable entanglement, 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 E-R(infinity); (iii) for states for which the relative entropy of entanglement E-R is additive, the Rains bound is equal to E-R.
ISSN: 1050-2947
Publication status: published
KU Leuven publication type: IT
Appears in Collections:ESAT - STADIUS, Stadius Centre for Dynamical Systems, Signal Processing and Data Analytics
× corresponding author
# (joint) last author

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