dorsal/arxiv
View SchemaA semidefinite program for distillable entanglement
| Authors | Eric M. Rains |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0008047 |
| URL | https://arxiv.org/abs/quant-ph/0008047 |
Abstract
We show that the maximum fidelity obtained by a p.p.t. distillation protocol is given by the solution to a certain semidefinite program. This gives a number of new lower and upper bounds on p.p.t. distillable entanglement (and thus new upper bounds on 2-locally distillable entanglement). In the presence of symmetry, the semidefinite program simplifies considerably, becoming a linear program in the case of isotropic and Werner states. Using these techniques, we determine the p.p.t. distillable entanglement of asymmetric Werner states and ``maximally correlated'' states. We conclude with a discussion of possible applications of semidefinite programming to quantum codes and 1-local distillation.
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"abstract": "We show that the maximum fidelity obtained by a p.p.t. distillation protocol\nis given by the solution to a certain semidefinite program. This gives a number\nof new lower and upper bounds on p.p.t. distillable entanglement (and thus new\nupper bounds on 2-locally distillable entanglement). In the presence of\nsymmetry, the semidefinite program simplifies considerably, becoming a linear\nprogram in the case of isotropic and Werner states. Using these techniques, we\ndetermine the p.p.t. distillable entanglement of asymmetric Werner states and\n``maximally correlated\u0027\u0027 states. We conclude with a discussion of possible\napplications of semidefinite programming to quantum codes and 1-local\ndistillation.",
"arxiv_id": "quant-ph/0008047",
"authors": [
"Eric M. Rains"
],
"categories": [
"quant-ph"
],
"title": "A semidefinite program for distillable entanglement",
"url": "https://arxiv.org/abs/quant-ph/0008047"
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