dorsal/arxiv
View SchemaRandom bipartite entanglement from W and W-like states
| Authors | Ben Fortescue, Hoi-Kwong Lo |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0607126 |
| URL | https://arxiv.org/abs/quant-ph/0607126 |
| DOI | 10.1103/PhysRevLett.98.260501 |
| Journal | Phys. Rev. Lett. 98, 260501 (2007) |
Abstract
We describe a protocol for distilling maximally entangled bipartite states between random pairs of parties from those sharing a tripartite W state, and show that, rather surprisingly, the total distillation rate (the total number of EPR pairs distilled per W, irrespective of who shares them) may be done at a higher rate than distillation of bipartite entanglement between specified pairs of parties. Specifically, the optimal distillation rate for specified entanglement for the W has been previously shown to be the asymptotic entanglement of assistance of 0.92 EPR pairs per W, while our protocol can asymptotically distill 1 EPR pair per W between random pairs of parties, which we conjecture to be optimal. We thus demonstrate a tradeoff between the overall asymptotic rate of EPR distillation and the distribution of final EPR pairs between parties. We further show that by increasing the number of parties in the protocol that there exist states with fixed lower-bounded distillable entanglement for random parties but arbitrarily small distillable entanglement for specified parties.
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"abstract": "We describe a protocol for distilling maximally entangled bipartite states\nbetween random pairs of parties from those sharing a tripartite W state, and\nshow that, rather surprisingly, the total distillation rate (the total number\nof EPR pairs distilled per W, irrespective of who shares them) may be done at a\nhigher rate than distillation of bipartite entanglement between specified pairs\nof parties. Specifically, the optimal distillation rate for specified\nentanglement for the W has been previously shown to be the asymptotic\nentanglement of assistance of 0.92 EPR pairs per W, while our protocol can\nasymptotically distill 1 EPR pair per W between random pairs of parties, which\nwe conjecture to be optimal. We thus demonstrate a tradeoff between the overall\nasymptotic rate of EPR distillation and the distribution of final EPR pairs\nbetween parties. We further show that by increasing the number of parties in\nthe protocol that there exist states with fixed lower-bounded distillable\nentanglement for random parties but arbitrarily small distillable entanglement\nfor specified parties.",
"arxiv_id": "quant-ph/0607126",
"authors": [
"Ben Fortescue",
"Hoi-Kwong Lo"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevLett.98.260501",
"journal_ref": "Phys. Rev. Lett. 98, 260501 (2007)",
"title": "Random bipartite entanglement from W and W-like states",
"url": "https://arxiv.org/abs/quant-ph/0607126"
},
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