期刊
IEEE TRANSACTIONS ON INFORMATION THEORY
卷 47, 期 7, 页码 2921-2933出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/18.959270
关键词
entanglement distillation; quantum communication; semidefinite programming
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.
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