Details
| Original language | English |
|---|---|
| Pages (from-to) | 062304 |
| Number of pages | 1 |
| Journal | Phys. Rev. A |
| Volume | 69 |
| Issue number | 6 |
| Publication status | Published - 2004 |
Abstract
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In: Phys. Rev. A, Vol. 69, No. 6, 2004, p. 062304.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Irreversibility of entanglement distillation for a class of symmetric states
AU - Vollbrecht, K. G. H.
AU - Werner, R. F.
AU - Wolf, M. M.
N1 - Funding information: M.M.W. is grateful to H. Maassen for valuable comments on entropic uncertainty relations. Funding by the European Union project EQUIP (Contract No. IST-1999-11053) and financial support from the DFG (Bonn) is gratefully acknowledged.
PY - 2004
Y1 - 2004
N2 - We investigate the irreversibility of entanglement distillation for a symmetric (d+1)-parameter family of mixed bipartite quantum states acting on Hilbert spaces of arbitrary dimension dxd. We prove that in this family the entanglement cost is generically strictly larger than the distillable entanglement, so that the set of states for which the distillation process is asymptotically reversible is of measure zero. This remains true even if the distillation process is catalytically assisted by pure-state entanglement and every operation is allowed, which preserves the positivity of the partial transpose. It is shown that reversibility occurs only in cases where the state is a tagged mixture. The reversible cases are shown to be completely characterized by minimal uncertainty vectors for entropic uncertainty relations.
AB - We investigate the irreversibility of entanglement distillation for a symmetric (d+1)-parameter family of mixed bipartite quantum states acting on Hilbert spaces of arbitrary dimension dxd. We prove that in this family the entanglement cost is generically strictly larger than the distillable entanglement, so that the set of states for which the distillation process is asymptotically reversible is of measure zero. This remains true even if the distillation process is catalytically assisted by pure-state entanglement and every operation is allowed, which preserves the positivity of the partial transpose. It is shown that reversibility occurs only in cases where the state is a tagged mixture. The reversible cases are shown to be completely characterized by minimal uncertainty vectors for entropic uncertainty relations.
U2 - 10.1103/PhysRevA.69.062304
DO - 10.1103/PhysRevA.69.062304
M3 - Article
VL - 69
SP - 062304
JO - Phys. Rev. A
JF - Phys. Rev. A
SN - 2469-9934
IS - 6
ER -