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三体量子态的纠缠性质

赵慧, 郭莎

赵慧, 郭莎. 三体量子态的纠缠性质[J]. 北京工业大学学报, 2015, 41(5): 797-800. DOI: 10.11936/bjutxb2014110004
引用本文: 赵慧, 郭莎. 三体量子态的纠缠性质[J]. 北京工业大学学报, 2015, 41(5): 797-800. DOI: 10.11936/bjutxb2014110004
ZHAO Hui, GUO Sha. Entanglement Properties of the Tripartite Quantum States[J]. Journal of Beijing University of Technology, 2015, 41(5): 797-800. DOI: 10.11936/bjutxb2014110004
Citation: ZHAO Hui, GUO Sha. Entanglement Properties of the Tripartite Quantum States[J]. Journal of Beijing University of Technology, 2015, 41(5): 797-800. DOI: 10.11936/bjutxb2014110004

三体量子态的纠缠性质

基金项目: 

国家自然科学基金资助项目(11101017)

北京市青年拔尖人才培育计划资助项目(CITTCD201404067)

详细信息
    作者简介:

    赵慧(1973-),女,副教授,主要从事量子信息方面的研究,E-mail:zhaohui@bjut.edu.cn

  • 中图分类号: TG0413

Entanglement Properties of the Tripartite Quantum States

  • 摘要: 为了研究多体量子态的纠缠性质,构造了一类三体量子态.利用矩阵分析理论中的分块矩阵、正矩阵、对角占优矩阵的性质,运用量子信息中的值域判据、可分判据,研究了密度矩阵的结构和部分转置;证明了在分割A-BCB-AC下密度矩阵是纠缠的,在分割AB-C下密度矩阵是可分的.由此得到在分割A-BCB-AC下,量子态是束缚纠缠态,在分割AB-C下量子态是可分态,给出了一类三体量子态在任意两体分割上的纠缠性质.
    Abstract: To study the entanglement properties of multipartite quantum states,a class of states in the tripartite quantum systems was constructed.Using the properties of the partitioned matrix,the positive matrix and the diagonally dominant matrix,applying the range criterion,the separable criterion,the structure and the partial transpositions of their density matrices were analyzed.The research shows that the states are entangled for the splits A-BC and B-AC,separable for the split AB-C.Therefore it can be concluded that the states are bound entangled for the splits A-BC and B-AC,separable with respect to the split AB-C,and finally the entanglement properties of any bipartite splits of the tripartite states are provided.
  • [1]

    PERES A.Separability criterion for density matrices[J].Physical Review Letter,1996,77(8):1413-1415.

    [2]

    CHEN Kai,WU Ling-an.A matrix realignment method for recognizing entanglement[J].Quantum Information and Computation,2003,3(3):193-202.

    [3]

    HORODECKI P.Separability criterion and inseparable mixed states with positive partial transposition[J].Physical Letter A,1997,232:333-339.

    [4]

    BENNETT C H,DIVINCENZO D P,MOR T,et al.Unextendible product bases and bound entanglement[J].Physical Review Letter,1999,82(26):5385-5388.

    [5]

    DERKACZ L,JAKOBCZYK L.Entanglement versus entropy for a class of mixed two-qutrit states[J].Physical Review A,2007,76(4):042304.

    [6]

    AUGUSIAK R,STASINSKA J,HORODEKI P.Beyond the standard entropic inequalities:stronger scalar separability criteria and their applications[J].Physical Review A,2008,77(1):012333.

    [7]

    BREUER H P.Optimal entanglement criterion for mixed quantum states[J].Physical Review Letter,2006,97(8):080501.

    [8]

    CAVALCANTI D,FERRARO A,GARCIA-SAEZ A,et al.Distillable entanglement and area laws in spin and harmonic-oscillator systems[J].Physical Review A,2008,78(1):012335.

    [9]

    ISHIZAKA S.Bound entanglement provides convertibility of pure entangled states[J].Physical Review Letter,2004,93(19):190501.

    [10]

    MASANES L.All bipartite entangled states are useful for information processing[J].Physical Review Letter,2006,96(15):150501.

    [11]

    FEI Shao-ming,LI-JOST Xian-qing,SUN Bao-zhi.A class of bound entangled states[J].Physical Letter A,2006,352(4/5):321-325.

    [12]

    DOR W,VIDAL G,CIRAC J I.Three qubits can be entangled in two inequivalent ways[J].Physical Review Letter A,2000,62(6):062314.

    [13]

    CHEN Ping-xing,LIANG Lin-mei,LI Cheng-zu,et al.Necessary and sufficient condition of separability of any system[J].Physical Review A,2001,63(5):052306.

    [14]

    DUR W,CIRAC J I.Classification of multi-qubit mixed states:separability and distillability properties[J].Physical Review A,2000,61(4):042314.

    [15]

    HORN R A,JOHNSON C R.Matrix analysis[M].Cambridge;Cambridge University Press,1985:343-353.

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  • 被引次数: 0
出版历程
  • 收稿日期:  2014-11-01
  • 网络出版日期:  2023-01-10

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