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Published November 2001 | Submitted + Published
Journal Article Open

A semidefinite program for distillable entanglement

Abstract

We show that the maximum fidelity obtained by a positive partial transpose (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.

Additional Information

© 2001 IEEE. Manuscript received August 23, 2000; revised June 8, 2001.

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Submitted - 0008047.pdf

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Created:
August 19, 2023
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