在回顾量子系统中有关纠缠探测的各种方法和纠缠度不同定义的基础上,总结了探测两体或多体纠缠的几种分离判据；分析了它们与正映射之间及其相互之间的关系；重点分析了纠缠目击者这种特殊的分离判据,包括它的定义以及构造方法,并且从实验观点分析了它的应用.在已提出的公理化假设的纠缠测量思想基础上,讨论了理论上各种两体纠缠度和多体纠缠度的定义以及各种纠缠度在实验中的估计问题.最后对各种非线性分离判据进行了分析.
参考文献
| [1] | Einstein A,et al.Can quantum-mechanical description of physical reality be consideed complete?[J].Phys.Rev.,1935,47(10):777-780. |
| [2] | Schr(o)dinger E.Die gegenw(a)rtige situation in der Quantenmechanik[J].Die Naturwissenschaften,1935,23:807-812,823-828,844-849. |
| [3] | Bell J S.On the Einstein-Podolsky-Rosen paradox[J].Physics,1964,1:195-200. |
| [4] | Bennett C H,Brassard G,Crepeau C,et al.Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels[J].Phys.Rev.Lett.,1993,70(13):1895-1899. |
| [5] | Ekert A K.Quantum cryptography based on Bell's theorem[J].Phys.Rev.Lett.,1991,67(6):661-663. |
| [6] | Ranssendorf R,Briegel H J.A one-way quantum computer[J].Phys.Rev.Lett.,2001,86(22):5188-5191. |
| [7] | Leibfried D,Knill E,et al.Creation of a six-atom ' Schr(o)dinger cat ' state[J].Nature,2005,438:639-642. |
| [8] | H(s)ffner H,et al.Scalable multiparticle entanglement of trapped ions[J].Nature,2005,438:643-646. |
| [9] | Lu C Y,et al.Experimental entanglement of six photons in graph states[J].Nat.Phys.,2007,3:91-95. |
| [10] | Gao W B,et al.Experimental demonstration of a hyper-entangled ten-qubit Schr(o)dinger cat state[J].Nat.Phys.,2010,6:331-335. |
| [11] | Neumann P,et al.Multipartite entanglement among single spins in diamond[J].Science,2008,320(5881):1326-1329. |
| [12] | Hald J,et al.Spin squeezed atoms:A macroscopic entangled ensemble created by light[J].Phys.Rev.Lett.,1999,83(77):1319-1322. |
| [13] | Mandel O,et al.Controlled collisions for multi-particle entanglement of optically trapped atoms[J].Nature,2003,425:937. |
| [14] | Peres A.Collective tests for quantum nonlocality[J].Phys.Rev.A,1996,54(4):2685-2689. |
| [15] | Jamiolkowski A.Linear transformations which preserve trace and positive semidefiniteness of operators[J].Rep.Math.Phys.,1972,3:275-278. |
| [16] | Horodecki M,Horodecki P,Horodecki R.Inseparable two spin-1/2 density matrices can be distilled to a singlet form[J].Phys.Rev.Lett.,1997,78(4):574-577. |
| [17] | Terhal B M.A family of indecomposable positive linear maps based on entangled quahtum states[J].Linear Algebra Appl.,2001,323:61-73. |
| [18] | Horodecki M,Oppenheim J,Horodecki R.Are the laws of entanglement theory thermodynamical?[J].Phys.Rev.Lett.,2002,89:240403. |
| [19] | Vedral V,Plenio M B.Entanglement measures and purification procedures[J].Phys.Rev.A,1998,57(3):1619-1633. |
| [20] | Bennett C H,DiVincenzo D P,Smolin J,et al.Mixed-state entanglement and quantum error correction[J].Phys.Rev.A,1996,54(5):3824-3851. |
| [21] | Eisert J,Plenio M B.A comparison of entanglement measure[J].J.Mod.Opt.,1999,46(1):145-154. |
| [22] | Hall W.A new criterion for indecomposability of positive maps[J].J.Phys.A:Math.Gen.,2006,39:14119. |
| [23] | Hiroshima T.Majorization criterion for distillability of a bipartite quantum state[J].Phys.Rev.Lett.,2003,91:057902. |
| [24] | Zhang Y D.Principles of Quantum Information Physics(量子信息物理基本原理)[M].Beijing:Science Press,2005:81-85 (in Chinese). |
| [25] | Augusiak R,Stasi(n)ska J.General scheme for construction of scalar separability criteria from positive maps[J].Phys.Rev.A,2008,77,010303(R). |
| [26] | Uffink J.Quadratic Bell inequalities as tests for multipartite entanglement[J].Phys.Rev.Lett.,2002,88:230406. |
| [27] | Horodecki M,Horodecki P,Horodecki R.Separability of n-particle mixed states:necessary and sufficient conditions in terms of linear maps[J].Phys.Lett.A,2001,283(1-2):1-7. |
| [28] | Yu C S,Song H S.Separability criterion of tripartite qubit systems[J].Phys.Rev.A,2005,72:022333. |
| [29] | Horodecki M,Horodecki P,Horodecki R.Separability of mixed states:necessary and sufficient conditions[J].Phys.Lett.A,1996,223(1-2):1-8. |
| [30] | Gühne O,Hyllus P.Investigating three qubit entanglement with local measurement[J].International Journal of Theoretical Physics,2003,42(5):1001-1013. |
| [31] | Gühne O,Hyllus P,Bruss D.et al.Experimental detection of entanglement via witness operators and local measurements[J].Journal of Modern Optics,2003,50(6-7):1079-1102. |
| [32] | Gühne O,Géza Tóth.Entanglement detection[J].Physics Reports,2009,474(1-6):1-75. |
| [33] | Bennett C H,Brassard G,Popescu S,et al.Purification of noisy entanglement and faithful teleportation via noisy channels[J].Phys.Rev.Lett.,1997,78(10):2031. |
| [34] | Rains E.Semi-definite program for distillable entanglement[OL].2000,eprint quant-ph/0008047. |
| [35] | Vedral V,Plenio M B.Entanglement measures and purification procedures[J].Phys.Rev.A,1998,57(3):1619-1633. |
| [36] | Bennett C H,DiVincenzo D P,Smolin J,et al.Mixed-state entanglement and quantum error correction[J].Phys.Rev.A,1996,54(5):3824-3851. |
| [37] | Hill S,Wootters W K.Entanglement of a pair of quantum bits.[J].Phys.Rev.Lett.,1997,78(26):5022-5025. |
| [38] | Vidal G,Werner R F.Computable measure of entanglement[J].Phys.Rev.A,2002,65:032314. |
| [39] | Vidal G,Tarrach R.Robustness of entanglement[J].Phys.Rev.A,1999,59(1):141-155. |
| [40] | Rudolph O.A new class of entanglement measures[J].J.Math.Phys.,2001,42(11):5306-5314. |
| [41] | Tucci R R.Entanglement of distillation and conditional mutual information[OL].eprint quant-ph/0202144. |
| [42] | Karnas S,Lewenstein M.Separable approximations of density matrices of composite quantum systems[J].J.Phys.A:Math.Gen.,2001,34:6919. |
| [43] | Brand(a)o F G S L,Vianna R O.Separable multipartite mixed states-operational asymptotically necessary and sufficient conditions[J].Phys.Rev.Lett.,2004,93:220503. |
| [44] | Yang T,Zhang Q,Zhang J,et al.All-versus-nothing violation of local realism by two-photon,four-dimensional entanglement[J].Phys.Rev.Lett.,2005,95:240406. |
| [45] | Horodecki R,et al.Quantum entanglement[J].Rev.Mod.Phys.,2009,81(2):865-942. |
| [46] | Gühne O,Reimpell M,Werner R F.Estimating entanglement measures in experiments[J].Phys.Rev.Lett.,2007,98:110502. |
| [47] | Eisert J,Brand(a)o F G S L,Audenaert K M R.Quantitative entanglement witnesses[J].New Journal of Physics,2007,9:46. |
| [48] | Gühne O,Lütkenhaus N.Nonlinear entanglement witness[J].Phys.Rev.Lett.,2006,96:170502. |
| [49] | Tóth G,Knapp C,et al.Optimal spin squeezing inequalities detect bound entanglement in spin models[J].Phys.Rev.Left.,2007,99:250405. |
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