Nonadditivity of Rains' bound for distillable entanglement

doi:10.1103/PhysRevA.95.062322

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	Nonadditivity of Rains' bound for distillable entanglement
	Wang, Xin 1; Duan, Runyao 1,2
	2017-06-14
发表期刊	PHYSICAL REVIEW A
ISSN	2469-9926
卷号	95 期号:6 页码:5
摘要	Rains' bound is arguably the best known upper bound of the distillable entanglement by operations completely preserving positivity of partial transpose (PPT) and was conjectured to be additive and coincide with the asymptotic relative entropy of entanglement. We disprove both conjectures by explicitly constructing a special class of mixed two-qubit states. We then introduce an additive semidefinite programming lower bound (E-M) for the asymptotic Rains' bound, and it immediately becomes a computable lower bound for entanglement cost of bipartite states. Furthermore, E-M is also proved to be the best known upper bound of the PPT-assisted deterministic distillable entanglement and gives the asymptotic rates for all pure states and some class of genuinely mixed states.
DOI	10.1103/PhysRevA.95.062322
语种	英语
资助项目	Australian Research Council[DP120103776] ; Australian Research Council[FT120100449]
WOS研究方向	Optics ; Physics
WOS类目	Optics ; Physics, Atomic, Molecular & Chemical
WOS记录号	WOS:000403221300001
出版者	AMER PHYSICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/25512
专题	中国科学院数学与系统科学研究院
通讯作者	Wang, Xin; Duan, Runyao
作者单位	1.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
推荐引用方式 GB/T 7714	Wang, Xin,Duan, Runyao. Nonadditivity of Rains' bound for distillable entanglement[J]. PHYSICAL REVIEW A,2017,95(6):5.
APA	Wang, Xin,&Duan, Runyao.(2017).Nonadditivity of Rains' bound for distillable entanglement.PHYSICAL REVIEW A,95(6),5.
MLA	Wang, Xin,et al."Nonadditivity of Rains' bound for distillable entanglement".PHYSICAL REVIEW A 95.6(2017):5.