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Characterizing Quantum Correlations in Arbitrary-Dimensional Bipartite Systems Using Hurwitz's Theory
Li H(李辉) ; Li YS(李岩松) ; Wang SH(王书浩) ; Long GL(龙桂鲁) ; LI Hui ; LI Yan-Song ; WANG Shu-Hao ; LONG Gui-Lu
2016-03-30 ; 2016-03-30
关键词quantum correlation quantum discord entanglement of formation O413.1
其他题名Characterizing Quantum Correlations in Arbitrary-Dimensional Bipartite Systems Using Hurwitz's Theory
中文摘要Quantum correlations play vital roles in the quantum features in quantum information processing tasks.Among the measures of quantum correlations, quantum discord(QD) and entanglement of formation(EOF) are two significant ones. Recent research has shown that there exists a relation between QD and EOF, which makes QD more significant in quantum information theory. However, until now, there exists no general method of characterizing quantum discord in high-dimensional quantum systems. In this paper, we have proposed a general method for calculating quantum discord in arbitrary-dimensional bipartite quantum systems in terms of Hurwitz's theory. Applications including the Werner state, the spin-1 XXZ model thermal equilibrium state, the Horodecki state, and the separable-bound-free entanglement state are investigated. We present the method of obtaining the EOF of arbitrary-dimensional bipartite quantum states via purification, and the relationship between QD and EOF.; Quantum correlations play vital roles in the quantum features in quantum information processing tasks.Among the measures of quantum correlations, quantum discord(QD) and entanglement of formation(EOF) are two significant ones. Recent research has shown that there exists a relation between QD and EOF, which makes QD more significant in quantum information theory. However, until now, there exists no general method of characterizing quantum discord in high-dimensional quantum systems. In this paper, we have proposed a general method for calculating quantum discord in arbitrary-dimensional bipartite quantum systems in terms of Hurwitz's theory. Applications including the Werner state, the spin-1 XXZ model thermal equilibrium state, the Horodecki state, and the separable-bound-free entanglement state are investigated. We present the method of obtaining the EOF of arbitrary-dimensional bipartite quantum states via purification, and the relationship between QD and EOF.
语种英语 ; 英语
内容类型期刊论文
源URL[http://ir.lib.tsinghua.edu.cn/ir/item.do?handle=123456789/146019]  
专题清华大学
推荐引用方式
GB/T 7714
Li H,Li YS,Wang SH,et al. Characterizing Quantum Correlations in Arbitrary-Dimensional Bipartite Systems Using Hurwitz's Theory[J],2016, 2016.
APA 李辉.,李岩松.,王书浩.,龙桂鲁.,LI Hui.,...&LONG Gui-Lu.(2016).Characterizing Quantum Correlations in Arbitrary-Dimensional Bipartite Systems Using Hurwitz's Theory..
MLA 李辉,et al."Characterizing Quantum Correlations in Arbitrary-Dimensional Bipartite Systems Using Hurwitz's Theory".(2016).
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