A semidefinite program for distillable entanglement
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 2locally 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 1local distillation.
 Publication:

arXiv eprints
 Pub Date:
 August 2000
 arXiv:
 arXiv:quantph/0008047
 Bibcode:
 2000quant.ph..8047R
 Keywords:

 Quantum Physics
 EPrint:
 28 pages, LaTeX