Irreversibility of Asymptotic Entanglement Manipulation Under Quantum Operations Completely Preserving Positivity of Partial Transpose

doi:10.1103/PhysRevLett.119.180506

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	Irreversibility of Asymptotic Entanglement Manipulation Under Quantum Operations Completely Preserving Positivity of Partial Transpose
	Wang, Xin 1; Duan, Runyao 1,2
	2017-11-03
发表期刊	PHYSICAL REVIEW LETTERS
ISSN	0031-9007
卷号	119 期号:18 页码:5
摘要	We 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.
DOI	10.1103/PhysRevLett.119.180506
语种	英语
资助项目	Australian Research Council[DP120103776] ; Australian Research Council[FT120100449]
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary
WOS记录号	WOS:000414336400001
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/26882
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. 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.