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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