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Title:
Symmetric extension of two-qubit states
Author: Chen, Jianxin (1) ; Ji, Zhengfeng (2) ; Kribs, David (1) ; Ltkenhaus, Norbert (2) ; Zeng, Bei (1)
Corresponding Author: Chen, Jianxin
Source: Physical Review A - Atomic, Molecular, and Optical Physics
Issued Date: 2014
Volume: 90, Issue:3
Indexed Type: SCI ; EI
Department: (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
Abstract: 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.
English Abstract: 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.
Language: 英语
WOS ID: WOS:000342126600004
Citation statistics:
Content Type: 期刊论文
URI: http://ir.iscas.ac.cn/handle/311060/16820
Appears in Collections:软件所图书馆_期刊论文

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Recommended Citation:
Chen, Jianxin ,Ji, Zhengfeng ,Kribs, David ,et al. Symmetric extension of two-qubit states[J]. Physical Review A - Atomic, Molecular, and Optical Physics,2014-01-01,90(3).
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