Institutional Repository
| Detecting consistency of overlapping quantum marginals by separability | |
| Chen, JX; Ji, ZF; Yu, NK; Zeng, B | |
| 2016 | |
| Source | PHYSICAL REVIEW A
 |
| ISSN | 2469-9926 |
| Volume | 93Issue:3 |
| English Abstract | The quantum marginal problem asks whether a set of given density matrices are consistent, i.e., whether they can be the reduced density matrices of a global quantum state. Not many nontrivial analytic necessary (or sufficient) conditions are known for the problem in general. We propose a method to detect consistency of overlapping quantum marginals by considering the separability of some derived states. Our method works well for the k-symmetric extension problem in general and for the general overlapping marginal problems in some cases. Our work is, in some sense, the converse to the well-known k-symmetric extension criterion for separability.; The quantum marginal problem asks whether a set of given density matrices are consistent, i.e., whether they can be the reduced density matrices of a global quantum state. Not many nontrivial analytic necessary (or sufficient) conditions are known for the problem in general. We propose a method to detect consistency of overlapping quantum marginals by considering the separability of some derived states. Our method works well for the k-symmetric extension problem in general and for the general overlapping marginal problems in some cases. Our work is, in some sense, the converse to the well-known k-symmetric extension criterion for separability. |
| Indexed Type | SCI |
| Department | Univ Maryland, Joint Ctr Quantum Informat & Comp Sci, College Pk, MD 20742 USA. Univ Waterloo, Inst Quantum Comp, Waterloo, ON N2L 3G1, Canada. Chinese Acad Sci, Inst Software, State Key Lab Comp Sci, Beijing, Peoples R China. Univ Guelph, Dept Math & Stat, Guelph, ON N1G 2W1, Canada. Canadian Inst Adv Res, Toronto, ON, Canada. |
| Language | 英语 |
| WOS ID | WOS:000371390900001 |
| Citation statistics | |
| Content Type | 期刊论文 |
| URI | http://ir.iscas.ac.cn/handle/311060/17342 |
| Collection | 中国科学院软件研究所 |
| Recommended Citation GB/T 7714 | Chen, JX,Ji, ZF,Yu, NK,et al. Detecting consistency of overlapping quantum marginals by separability[J]. PHYSICAL REVIEW A,2016,93(3). |
| APA | Chen, JX,Ji, ZF,Yu, NK,&Zeng, B.(2016).Detecting consistency of overlapping quantum marginals by separability.PHYSICAL REVIEW A,93(3). |
| MLA | Chen, JX,et al."Detecting consistency of overlapping quantum marginals by separability".PHYSICAL REVIEW A 93.3(2016). |
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