rank reduction for the local consistency problem

ISCAS OpenIR

	rank reduction for the local consistency problem
	Chen Jianxin; Ji Zhengfeng; Klyachko Alexander; Kribs David W.; Zeng Bei
	2012
发表期刊	JOURNAL OF MATHEMATICAL PHYSICS
ISSN	0022-2488
卷号	53 期号:2 页码:-
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; 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
收录类别	SCI
部门归属	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.
学科领域	Physics
资助者	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
引用统计
内容类型	期刊论文
URI标识	http://ir.iscas.ac.cn/handle/311060/15092
专题	中国科学院软件研究所
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):-.