Equation of motion for entanglement

Quantum Information Processing

Volumn 8, Issue 6, 2009, Pages 523-534

  Tiersch, Markus ^a   De Melo, Fernando ^a   Konrad, Thomas ^b   Buchleitner, Andreas ^a  

^a UNIVERSITY OF FREIBURG   (Germany)

^b UNIVERSITY OF KWAZULU NATAL   (South Africa)

Author keywords

Entanglement; Open system dynamics; Quantum information

Indexed keywords

ENTANGLEMENT; EQUATION OF MOTION; EVOLUTION EQUATIONS; HIGHER-DIMENSIONAL SYSTEMS; MIXED STATE; QUANTUM INFORMATION; QUANTUM SYSTEM; STATISTICAL EVIDENCE;

EQUATIONS OF MOTION; OPEN SYSTEMS; QUANTUM ELECTRONICS; QUANTUM OPTICS; SYSTEM THEORY;

QUANTUM ENTANGLEMENT;

EID: 70450267612     PISSN: 15700755     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11128-009-0139-4     Document Type: Article

References (28)

1. R.F. Werner 1989 Quantum states with Einstein-Podolski-Rosen correlations admitting a hidden-variable model Phys. Rev. A 40 4277 10.1103/PhysRevA.40.4277 9902666 1989PhRvA..40.4277W
2. A. Uhlmann 2000 Fidelity and concurrence of conjugated states Phys. Rev. A 62 032307 10.1103/PhysRevA.62.032307 1781253 2000PhRvA..62c2307U
3. V. Vedral M.B. Plenio M.A. Rippin P.L. Knight 1997 Quantifying entanglement Phys. Rev. Lett. 78 2275 0944.81011 10.1103/PhysRevLett.78.2275 1:CAS:528:DyaK2sXitVOqsrw%3D 1438269 1997PhRvL..78.2275V
4. Gurvits, L.: Classical deterministic complexity of Edmonds' Problem and quantum entanglement. In: Proceedings of the 35th ACM Symposium on Theory of Computing, pp. 10-19. ACM Press (2003)
5. T. Konrad F. de Melo M. Tiersch C. Kasztelan A. Aragão A. Buchleitner 2008 Evolution equation of quantum entanglement Nat. Phys. 4 99 10.1038/nphys885 1:CAS:528:DC%2BD1cXhs1Wmtbs%3D
6. M. Tiersch F. de Melo A. Buchleitner 2008 Entanglement evolution in finite dimensions Phys. Rev. Lett. 101 170502 10.1103/PhysRevLett.101.170502 18999731 2453317 2008PhRvL.101q0502T
7. W.H. Zurek 2002 Decoherence and the transition from quantum to classical-revisited Los Alamos Sci. 27 86
8. Nielsen M.A., Chuang I.L.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000)
9. W.K. Wootters 1998 Entanglement of formation of an arbitrary state of two qubits Phys. Rev. Lett. 80 2245 10.1103/PhysRevLett.80.2245 1:CAS:528:DyaK1cXhsV2ns78%3D 1998PhRvL..80.2245W
10. C.H. Bennett D.P. DiVincenzo J.A. Smolin W.K. Wootters 1996 Mixed-state entanglement and quantum error correction Phys. Rev. A 54 3824 10.1103/PhysRevA.54.3824 1:CAS:528:DyaK28XmvVOmsrc%3D 9913930 1418618 1996PhRvA..54.3824B
11. K.G.H. Vollbrecht R.F. Werner 2001 Entanglement measures under symmetry Phys. Rev. A 64 062307 10.1103/PhysRevA.64.062307 2001PhRvA..64f2307V
12. P. Rungta C.M. Caves 2003 Concurrence-based entanglement measures for isotropic states Phys. Rev. A 67 012307 10.1103/PhysRevA.67.012307 2003PhRvA..67a2307R
13. N. Gisin 1996 Hidden quantum nonlocality revealed by local filters Phys. Lett. A 210 151 10.1016/S0375-9601(96)80001-6 1:CAS:528:DyaK28Xit1Oquw%3D%3D 1371104 1996PhLA..210..151G (Pubitemid 126405425)
14. C.H. Bennett H.J. Bernstein S. Popescu B. Schumacher 1996 Concentrating partial entanglement by local operations Phys. Rev. A 53 2046 10.1103/PhysRevA.53.2046 1:CAS:528:DyaK28XitFSrsbo%3D 9913106 1996PhRvA..53.2046B
15. F. Verstraete J. Dehaene B. DeMoor 2001 Local filtering operations on two qubits Phys. Rev. A 64 010101 10.1103/PhysRevA.64.010101 2001PhRvA..64a0101V
16. Breuer H., Petruccione F.: The Theory of Open Quantum Systems. Oxford University Press, Oxford (2007)
17. M. Choi 1975 Completely positive linear maps on complex matrices Linear Algebra Appl 10 285 0327.15018 10.1016/0024-3795(75)90075-0
18. A. Jamiołkowski 1972 Linear transformations which preserve trace and positive semidefiniteness of operators Reports on Mathematical Physics 3 275 0252.47042 10.1016/0034-4877(72)90011-0 342537 1972RpMP....3..275J
19. O. Jiménez Farías C. Lombard Latune S.P. Walborn L. Davidovich P.H. Souto Ribeiro 2009 Determining the dynamics of entanglement Science 324 1414 10.1126/science.1171544 19443736 2009Sci...324.1414J
20. Xu, J., Li, C., Xu, X., Shi, C., Zou, X., Guo, G.: Experimental characterization of entanglement dynamics in noisy channels. arXiv:0905.3442, (2009)
21. C. Yu X.X. Yi H. Song 2008 Evolution of entanglement for quantum mixed states Phys. Rev. A 78 062330 10.1103/PhysRevA.78.062330 2008PhRvA..78f2330Y
22. Z. Li S. Fei Z.D. Wang W.M. Liu 2009 Evolution equation of entanglement for bipartite systems Phys. Rev. A 79 024303 10.1103/PhysRevA.79.024303 2009PhRvA..79b4303L
23. Z. Liu H. Fan 2009 Dynamics of the bounds of squared concurrence Phys. Rev. A 79 032306 10.1103/PhysRevA.79.032306 2009PhRvA..79c2306L
24. J. Benhelm G. Kirchmair C.F. Roos R. Blatt 2008 Towards fault-tolerant quantum computing with trapped ions Nat. Phys. 4 463 10.1038/nphys961 1:CAS:528:DC%2BD1cXmsFKlsbw%3D
25. W.K. Wootters 1990 Random quantum states Found. Phys. 20 1365 10.1007/BF01883491 1086763 1990FoPh...20.1365W
26. G. Gour 2005 Family of concurrence monotones and its applications Phys. Rev. A 71 012318 10.1103/PhysRevA.71.012318 2188810 2005PhRvA..71a2318G
27. G. Gour 2005 Mixed-state entanglement of assistance and the generalized concurrence Phys. Rev. A 72 042318 10.1103/PhysRevA.72.042318 2188810 2005PhRvA..72d2318G
28. Tiersch, M., de Melo, F., Buchleitner, A.: Universality in open system entanglement dynamics. arXiv:0810.2506 (2008)