Indistinguishability of bipartite states by positive-partial-transpose operations in the many-copy scenario
文献类型:期刊论文
作者 | Li, Yinan1; Wang, Xin1; Duan, Runyao1,2 |
刊名 | PHYSICAL REVIEW A
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出版日期 | 2017-05-30 |
卷号 | 95期号:5页码:6 |
ISSN号 | 2469-9926 |
DOI | 10.1103/PhysRevA.95.052346 |
英文摘要 | A bipartite subspace S is called strongly positive-partial-transpose (PPT) unextendible if for every positive integer k, there is no PPT operator supporting on the orthogonal complement of S-circle times k. We show that a subspace is strongly PPT unextendible if it contains a PPT-definite operator (a positive semidefinite operator whose partial transpose is positive definite). Based on these, we are able to propose a simple criterion for verifying whether a set of bipartite orthogonal quantum states is indistinguishable by PPT operations in the many-copy scenario. Utilizing this criterion, we further point out that any entangled pure state and its orthogonal complement cannot be distinguished by PPT operations in the many-copy scenario. On the other hand, we investigate that the minimum dimension of strongly PPT-unextendible subspaces in an m circle times n system is m + n - 1, which involves a generalization of the result that non-positive-partial-transpose subspaces can be as large as any entangled subspace |
资助项目 | Australian Research Council[DP120103776] ; Australian Research Council[FT120100449] |
WOS研究方向 | Optics ; Physics |
语种 | 英语 |
WOS记录号 | WOS:000402463200005 |
出版者 | AMER PHYSICAL SOC |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/25517] ![]() |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Li, Yinan; 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, UTS AMSS Joint Res Lab Quantum Computat & Quantum, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
推荐引用方式 GB/T 7714 | Li, Yinan,Wang, Xin,Duan, Runyao. Indistinguishability of bipartite states by positive-partial-transpose operations in the many-copy scenario[J]. PHYSICAL REVIEW A,2017,95(5):6. |
APA | Li, Yinan,Wang, Xin,&Duan, Runyao.(2017).Indistinguishability of bipartite states by positive-partial-transpose operations in the many-copy scenario.PHYSICAL REVIEW A,95(5),6. |
MLA | Li, Yinan,et al."Indistinguishability of bipartite states by positive-partial-transpose operations in the many-copy scenario".PHYSICAL REVIEW A 95.5(2017):6. |
入库方式: OAI收割
来源:数学与系统科学研究院
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