comment on some results of erdahl and the convex structure of reduced density matrices

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	comment on some results of erdahl and the convex structure of reduced density matrices
	Chen Jianxin; Ji Zhengfeng; Ruskai Mary Beth; Zeng Bei; Zhou Duan-Lu
	2012
发表期刊	JOURNAL OF MATHEMATICAL PHYSICS
ISSN	0022-2488
卷号	53 期号:7 页码:-
摘要	In J. Math. Phys. 13, 1608-1621 (1972), Erdahl considered the convex structure of the set of N-representable 2-body reduced density matrices in the case of fermions. Some of these results have a straightforward extension to the m-body setting and to the more general quantum marginal problem. We describe these extensions, but cannot resolve a problem in the proof of Erdahl's claim that every extreme point is exposed in finite dimensions. Nevertheless, we can show that when 2m >= N every extreme point of the set of N-representable m-body reduced density matrices has a unique pre-image in both the symmetric and anti-symmetric setting. Moreover, this extends to the quantum marginal setting for a pair of complementary m-body and (N - m)-body reduced density matrices. (C) 2012 American Institute of Physics. http://dx.doi.org/10.1063/1.4736842; In J. Math. Phys. 13, 1608-1621 (1972), Erdahl considered the convex structure of the set of N-representable 2-body reduced density matrices in the case of fermions. Some of these results have a straightforward extension to the m-body setting and to the more general quantum marginal problem. We describe these extensions, but cannot resolve a problem in the proof of Erdahl's claim that every extreme point is exposed in finite dimensions. Nevertheless, we can show that when 2m >= N every extreme point of the set of N-representable m-body reduced density matrices has a unique pre-image in both the symmetric and anti-symmetric setting. Moreover, this extends to the quantum marginal setting for a pair of complementary m-body and (N - m)-body reduced density matrices. (C) 2012 American Institute of Physics. http://dx.doi.org/10.1063/1.4736842
收录类别	SCI
部门归属	Chen Jianxin; Zeng Bei Univ Guelph Dept Math & Stat Guelph ON N1G 2W1 Canada. Chen Jianxin; Ji Zhengfeng; Ruskai Mary Beth; 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. Ruskai Mary Beth Tufts Univ Medford MA 02155 USA. Zhou Duan-Lu Chinese Acad Sci Beijing Natl Lab Condensed Matter Phys Beijing 100190 Peoples R China. Zhou Duan-Lu Chinese Acad Sci Inst Phys Beijing 100190 Peoples R China.
学科领域	Physics
资助者	Natural Sciences and Engineering Research Council (Canada) (NSERC); National Science Foundation of China (NSFC) 61179030, 10975181, 11175247; NSERC; U.S. Army Research Office (USARO); National Science Foundation (NSF); Canadian Institute for Advanced Research (CIFAR); National Key Basic Research Special Funds (NKBRSF) of China 2012CB922104
语种	英语
WOS记录号	WOS:000307609900004
引用统计
内容类型	期刊论文
URI标识	http://ir.iscas.ac.cn/handle/311060/15077
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,Ruskai Mary Beth,et al. comment on some results of erdahl and the convex structure of reduced density matrices[J]. JOURNAL OF MATHEMATICAL PHYSICS,2012,53(7):-.
APA	Chen Jianxin,Ji Zhengfeng,Ruskai Mary Beth,Zeng Bei,&Zhou Duan-Lu.(2012).comment on some results of erdahl and the convex structure of reduced density matrices.JOURNAL OF MATHEMATICAL PHYSICS,53(7),-.
MLA	Chen Jianxin,et al."comment on some results of erdahl and the convex structure of reduced density matrices".JOURNAL OF MATHEMATICAL PHYSICS 53.7(2012):-.