Irreversibility of Asymptotic Entanglement Manipulation Under Quantum Operations Completely Preserving Positivity of Partial Transpose
文献类型：期刊论文
| 作者 | Wang, Xin1; Duan, Runyao1,2 |
| 刊名 | PHYSICAL REVIEW LETTERS
 |
| 出版日期 | 2017-11-03 |
| 卷号 | 119期号:18页码:5 |
| ISSN号 | 0031-9007 |
| DOI | 10.1103/PhysRevLett.119.180506 |
| 英文摘要 | 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. |
| 资助项目 | Australian Research Council[DP120103776] ; Australian Research Council[FT120100449] |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000414336400001 |
| 出版者 | AMER PHYSICAL SOC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/26881]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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