rank reduction for the local consistency problem
文献类型：期刊论文
| 作者 | Chen Jianxin ; Ji Zhengfeng ; Klyachko Alexander ; Kribs David W. ; Zeng Bei |
| 刊名 | JOURNAL OF MATHEMATICAL PHYSICS
 |
| 出版日期 | 2012 |
| 卷号 | 53期号:2页码:- |
| ISSN号 | 0022-2488 |
| 中文摘要 | We address the problem of how simple a solution can be for a given quantum local consistency instance. More specifically, we investigate how small the rank of the global density operator can be if the local constraints are known to be compatible. We prove that any compatible local density operators can be satisfied by a low rank global density operator. Then we study both fermionic and bosonic versions of the N-representability problem as applications. After applying the channel-state duality, we prove that any compatible local channels can be obtained through a global quantum channel with small Kraus rank. (C) 2012 American Institute of Physics. http://dx.doi.org/10.1063/1.3685644 |
| 英文摘要 | We address the problem of how simple a solution can be for a given quantum local consistency instance. More specifically, we investigate how small the rank of the global density operator can be if the local constraints are known to be compatible. We prove that any compatible local density operators can be satisfied by a low rank global density operator. Then we study both fermionic and bosonic versions of the N-representability problem as applications. After applying the channel-state duality, we prove that any compatible local channels can be obtained through a global quantum channel with small Kraus rank. (C) 2012 American Institute of Physics. http://dx.doi.org/10.1063/1.3685644 |
| 学科主题 | Physics |
| 收录类别 | SCI |
| 资助信息 | NSERC 400160, 400233, 400500; NSF of China 61179030, 60736011, 60721061; ARO; Ontario Early Researcher Award 048142; CIFAR |
| 语种 | 英语 |
| WOS记录号 | WOS:000300943500007 |
| 公开日期 | 2013-09-17 |
| 源URL | [http://ir.iscas.ac.cn/handle/311060/15092]  |
| 专题 | 软件研究所_软件所图书馆_期刊论文 |
| 推荐引用方式 GB/T 7714 | Chen Jianxin,Ji Zhengfeng,Klyachko Alexander,et al. rank reduction for the local consistency problem[J]. JOURNAL OF MATHEMATICAL PHYSICS,2012,53(2):-. |
| APA | Chen Jianxin,Ji Zhengfeng,Klyachko Alexander,Kribs David W.,&Zeng Bei.(2012).rank reduction for the local consistency problem.JOURNAL OF MATHEMATICAL PHYSICS,53(2),-. |
| MLA | Chen Jianxin,et al."rank reduction for the local consistency problem".JOURNAL OF MATHEMATICAL PHYSICS 53.2(2012):-. |
入库方式： OAI收割
来源：软件研究所
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