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A semidefinite program for distillable entanglement

Rains, Eric M. (2001) A semidefinite program for distillable entanglement. IEEE Transactions on Information Theory, 47 (7). pp. 2921-2933. ISSN 00189448.

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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.

Item Type:Article
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Additional Information:© 2001 IEEE. Manuscript received August 23, 2000; revised June 8, 2001.
Subject Keywords:Entanglement distillation, quantum communication, semidefinite programming
Issue or Number:7
Record Number:CaltechAUTHORS:20170925-141527816
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Official Citation:E. M. Rains, "A semidefinite program for distillable entanglement," in IEEE Transactions on Information Theory, vol. 47, no. 7, pp. 2921-2933, Nov 2001. doi: 10.1109/18.959270 URL:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:81816
Deposited By: Tony Diaz
Deposited On:25 Sep 2017 21:20
Last Modified:03 Oct 2019 18:47

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