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Irreversibility of Asymptotic Entanglement Manipulation Under Quantum Operations Completely Preserving Positivity of Partial Transpose
Wang, Xin1; Duan, Runyao1,2
2017-11-03
Source PublicationPHYSICAL REVIEW LETTERS
ISSN0031-9007
Volume119Issue:18Pages:5
AbstractWe demonstrate the irreversibility of asymptotic entanglement manipulation under quantum operations that completely preserve the positivity of partial transpose (PPT), resolving a major open problem in quantum information theory. Our key tool is a new efficiently computable additive lower bound for the asymptotic relative entropy of entanglement with respect to PPT states, which can be used to evaluate the entanglement cost under local operations and classical communication (LOCC). We find that for any ranktwo mixed state supporting on the 3. 3 antisymmetric subspace, the amount of distillable entanglement by PPToperations is strictly smaller than one entanglement bit (ebit) while its entanglement cost under PPT operations is exactly one ebit. As a by-product, we find that for this class of states, both the Rains's bound and its regularization are strictly less than the asymptotic relative entropy of entanglement. So, in general, there is no unique entanglement measure for the manipulation of entanglement by PPT operations. We further show a computable sufficient condition for the irreversibility of entanglement distillation by LOCC (or PPT) operations.
DOI10.1103/PhysRevLett.119.180506
Language英语
Funding ProjectAustralian Research Council[DP120103776] ; Australian Research Council[FT120100449]
WOS Research AreaPhysics
WOS SubjectPhysics, Multidisciplinary
WOS IDWOS:000414336400001
PublisherAMER PHYSICAL SOC
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/26882
Collection中国科学院数学与系统科学研究院
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, Acad Math & Syst Sci, UTS AMSS Joint Res Lab Quantum Computat & Quantum, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Wang, Xin,Duan, Runyao. Irreversibility of Asymptotic Entanglement Manipulation Under Quantum Operations Completely Preserving Positivity of Partial Transpose[J]. PHYSICAL REVIEW LETTERS,2017,119(18):5.
APA Wang, Xin,&Duan, Runyao.(2017).Irreversibility of Asymptotic Entanglement Manipulation Under Quantum Operations Completely Preserving Positivity of Partial Transpose.PHYSICAL REVIEW LETTERS,119(18),5.
MLA Wang, Xin,et al."Irreversibility of Asymptotic Entanglement Manipulation Under Quantum Operations Completely Preserving Positivity of Partial Transpose".PHYSICAL REVIEW LETTERS 119.18(2017):5.
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