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| rank reduction for the local consistency problem | |
| Chen Jianxin; Ji Zhengfeng; Klyachko Alexander; Kribs David W.; Zeng Bei | |
| 2012 | |
| Source | JOURNAL OF MATHEMATICAL PHYSICS
 |
| ISSN | 0022-2488 |
| Volume | 53Issue:2Pages:- |
| English Abstract | 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; 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 |
| Indexed Type | SCI |
| Department | Chen Jianxin; Kribs David W.; Zeng Bei Univ Guelph Dept Math & Stat Guelph ON N1G 2W1 Canada. Chen Jianxin; Ji Zhengfeng; Kribs David W.; Zeng Bei Univ Waterloo Inst Quantum Comp Waterloo ON N2L 3G1 Canada. Ji Zhengfeng Chinese Acad Sci Inst Software State Key Lab Comp Sci Beijing Peoples R China. Klyachko Alexander Bilkent Univ Dept Math Ankara Turkey. |
| Subject | Physics |
| Sponsorship | NSERC 400160, 400233, 400500; NSF of China 61179030, 60736011, 60721061; ARO; Ontario Early Researcher Award 048142; CIFAR |
| Language | 英语 |
| WOS ID | WOS:000300943500007 |
| Citation statistics | |
| Content Type | 期刊论文 |
| URI | http://ir.iscas.ac.cn/handle/311060/15092 |
| Collection | 中国科学院软件研究所 |
| Recommended Citation 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):-. |
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