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LU Invariants and Canonical Forms and SLOCC Classification of Pure 3-Qubit States 被引量:2

LU Invariants and Canonical Forms and SLOCC Classification of Pure 3-Qubit States
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摘要 In this paper the entanglement of pure 3-qubit states is discussed. The local unitary (LU) polynomial invariants that are closely related to the canonical forms are constructed and the relations of the coefficients of the canonical forms are given. Then the stochastic local operations and classlcal communication (SLOCC) classification of the states are discussed on the basis of the canonical forms, and the symmetric canonical form of the states without 3-tangle is discussed. Finally, we give the relation between the LU polynomial invariants and SLOCC classification.
机构地区 Department of Physics
出处 《Communications in Theoretical Physics》 SCIE CAS CSCD 2006年第4期596-600,共5页 理论物理通讯(英文版)
基金 The project supported by National Natural Science Foundation of China under Grant No. 6J3433050 and the Natural Science Foundation of Xuzhou Normal University (Key Project) under Grant No. 03XLA04
关键词 3-qubit state canonical form LU invariant SLOCC classification 规范模板 不变量 SLOCC分类 多项式
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参考文献11

  • 1A.Einstein,B.Podolsky,and N.Rosen,Phys.Rev.47(1935) 777.
  • 2E.Schrodinger,Naturwissenschaften 23 (1935) 807,823,844.
  • 3N.Linden and S.Popescu,Fortch.Phys.46 (1998) 567.
  • 4A.Sudbery,J.Phys.A 34 (2001) 643.
  • 5A.Acin,A.Andrianov,E.Jane,J.I.Latorre,and R.Tarrach,Phys.Rev.Lett.85 (2000) 1560.
  • 6A.Acin,A.Andrianov,E.Jane,and R.Tarrach,J.Phys.A:Math.Gen.34 (2001) 6725.
  • 7T.Brun and O.Cohen,quant-ph/0005124.
  • 8C.H.Bennett,S.Popescu,D.Rohrlich,J.A.Smolin,and A.V.Thapliyal,Phys.Rev.A 63 (2001) 012307.
  • 9W.Dur,G.Vidal,and J.I.Cirac,Phys.Rev.A 62 (2000)62.
  • 10I.M.Gelfand,M.M.Kapranov,and A.V.Zelevinsky,Discriminants,Resultants and Multidimensional Determinants,Birkhauser,Boston (1994).

同被引文献10

  • 1狄尧民.多量子比特纯态纠缠刻画研究的一些进展[J].徐州师范大学学报(自然科学版),2005,23(4):1-11. 被引量:6
  • 2[1]Nielsen M A,Chuang I L.量子计算与量子信息[M].赵千川译.北京:清华大学出版社,2004.
  • 3[2]Dür W,Cirac J I.Nonlocal operations:Purification,storage,compression,tomography,and probabilistic implementation[J].Phys Rev A,2001,64:012317.
  • 4[3]Cirac J I,Dür W,Kraus B,et al.Entangling operations and their implementation using a small amount of entanglement[J].Phys Rev Lett,2001,86:544-547.
  • 5[4]Leibfried D,DeMarco B,Meyer V,et al.Experimental demonstration of a robust,high-fidelity geometric two ion-qubit phase gate[J].Nature,2003,422:412-415.
  • 6[5]Wootters W K.Entanglement of formation of an arbitrary state of two qubits[J].Phys Rev Lett,1998,80:2245-2248.
  • 7[6]Mosseri R,Dandoloff R.Geometry of entangled states,Bloch spheres and Hopf fibrations[J].J Phys A:Math Gen,2001,34:10243-10252.
  • 8[7]Bennett C H,Popescu S,Rohrlich D,et al.Exact and asymptotic measures of multipartite pure-state entanglement[J].Rhys Rev A,2001,63:012307.
  • 9[9]Coffman V,Kundu J,Wootters W K.Distributed entanglement[J].Phys Rev A,2001,61:052306.
  • 10[10]Azuma H,Bose S,Vedral V.Entangling capacity of global phases and implications for Deutsch-Jozsa algorithm[J].Phys Rev A,2001,64:062308.

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