Symmetric extension of two-qubit states

ISCAS OpenIR

	Symmetric extension of two-qubit states
	Chen, Jianxin (1); Ji, Zhengfeng (2); Kribs, David (1); Ltkenhaus, Norbert (2); Zeng, Bei (1); Chen, Jianxin
	2014
发表期刊	Physical Review A - Atomic, Molecular, and Optical Physics
ISSN	10502947
卷号	90 期号:3
摘要	A bipartite state ρAB is symmetric extendible if there exists a tripartite state ρABB′ whose AB and AB′ marginal states are both identical to ρAB. Symmetric extendibility of bipartite states is of vital importance in quantum information because of its central role in separability tests, one-way distillation of Einstein-Podolsky-Rosen pairs, one-way distillation of secure keys, quantum marginal problems, and antidegradable quantum channels. We establish a simple analytic characterization for symmetric extendibility of any two-qubit quantum state ρAB; specifically, tr(ρB2)≥tr(ρAB2)-4detρAB. As a special case we solve the bosonic three-representability problem for the two-body reduced density matrix.; A bipartite state ρAB is symmetric extendible if there exists a tripartite state ρABB′ whose AB and AB′ marginal states are both identical to ρAB. Symmetric extendibility of bipartite states is of vital importance in quantum information because of its central role in separability tests, one-way distillation of Einstein-Podolsky-Rosen pairs, one-way distillation of secure keys, quantum marginal problems, and antidegradable quantum channels. We establish a simple analytic characterization for symmetric extendibility of any two-qubit quantum state ρAB; specifically, tr(ρB2)≥tr(ρAB2)-4detρAB. As a special case we solve the bosonic three-representability problem for the two-body reduced density matrix.
收录类别	SCI ; EI
部门归属	(1) Department of Mathematics and Statistics, University of Guelph, Guelph; ON, Canada; (2) Institute for Quantum Computing, University of Waterloo, Waterloo; ON, Canada; (3) UTS-AMSS Joint Research Laboratory for Quantum Computation and Quantum Information Processing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China; (4) State Key Laboratory of Computer Science, Institute of Software, Chinese Academy of Sciences, Beijing, China; (5) Department of Physics and Astronomy, University of Waterloo, Waterloo; ON, Canada
语种	英语
WOS记录号	WOS:000342126600004
引用统计
内容类型	期刊论文
URI标识	http://ir.iscas.ac.cn/handle/311060/16820
专题	中国科学院软件研究所
通讯作者	Chen, Jianxin
推荐引用方式 GB/T 7714	Chen, Jianxin ,Ji, Zhengfeng ,Kribs, David ,et al. Symmetric extension of two-qubit states[J]. Physical Review A - Atomic, Molecular, and Optical Physics,2014,90(3).
APA	Chen, Jianxin ,Ji, Zhengfeng ,Kribs, David ,Ltkenhaus, Norbert ,Zeng, Bei ,&Chen, Jianxin.(2014).Symmetric extension of two-qubit states.Physical Review A - Atomic, Molecular, and Optical Physics,90(3).
MLA	Chen, Jianxin ,et al."Symmetric extension of two-qubit states".Physical Review A - Atomic, Molecular, and Optical Physics 90.3(2014).