Improved semidefinite programming upper bound on distillable entanglement
Wang, Xin1; Duan, Runyao1,2
Source PublicationPHYSICAL REVIEW A
AbstractAn additive and semidefinite programming (SDP) computable entanglement measure is introduced to upper bound the amount of distillable entanglement in bipartite quantum states by operations completely preserving the positivity of partial transpose (PPT). This quantity is always smaller than or equal to the logarithmic negativity, the previously best known SDP bound on distillable entanglement, and the inequality is strict in general. Furthermore, a succinct SDP characterization of the one-copy PPT deterministic distillable entanglement for any given state is also obtained, which provides a simple but useful lower bound on the PPT distillable entanglement. Remarkably, there is a genuinely mixed state of which both bounds coincide with the distillable entanglement, while being strictly less than the logarithmic negativity.
Funding ProjectAustralian Research Council[DP120103776] ; Australian Research Council[FT120100449] ; National Natural Science Foundation of China[61179030]
WOS Research AreaOptics ; Physics
WOS SubjectOptics ; Physics, Atomic, Molecular & Chemical
WOS IDWOS:000388814000001
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Document Type期刊论文
Corresponding AuthorWang, Xin; Duan, Runyao
Affiliation1.Univ Technol Sydney, Fac Engn & Informat Technol, Ctr Quantum Software & Informat, Sydney, NSW 2007, Australia
2.Chinese Acad Sci, UTS AMSS Joint Res Lab Quantum Computat & Quantum, Acad Math & Syst Sci, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Wang, Xin,Duan, Runyao. Improved semidefinite programming upper bound on distillable entanglement[J]. PHYSICAL REVIEW A,2016,94(5):5.
APA Wang, Xin,&Duan, Runyao.(2016).Improved semidefinite programming upper bound on distillable entanglement.PHYSICAL REVIEW A,94(5),5.
MLA Wang, Xin,et al."Improved semidefinite programming upper bound on distillable entanglement".PHYSICAL REVIEW A 94.5(2016):5.
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