Dissipative scheme to approach the boundary of two-qubit entangled mixed states

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 79, Issue 3, 2009, Pages

  Campbell, S ^a   Paternostro, M ^a  

^a QUEEN'S UNIVERSITY BELFAST   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

BIPARTITE STATE; BOSONIC MODES; BOUNDARY STATE; DAMPING MECHANISMS; LINEAR ENTROPIES; MIXED STATE; MIXEDNESS; TWO-QUBIT;

EXCITED STATES;

EID: 63149114261     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.79.032314     Document Type: Article

References (46)

1. W. Dür, G. Vidal, and J. I. Cirac, Phys. Rev. A 62, 062314 (2000) 10.1103/PhysRevA.62.062314
2. F. Verstraete, J. Dehaene, B. De Moor, and H. Verschelde, Phys. Rev. A 65, 052112 (2002) 10.1103/PhysRevA.65.052112
3. S. Bose, I. Fuentes-Guridi, P. L. Knight, and V. Vedral, Phys. Rev. Lett. 87, 050401 (2001) 10.1103/PhysRevLett.87.050401
4. S. Bose and V. Vedral, Phys. Rev. A 61, 040101 (R) (2000) 10.1103/PhysRevA.61.040101
5. A. Acin, D. Bruß, M. Lewenstein, and A. Sanpera, Phys. Rev. Lett. 87, 040401 (2001). 10.1103/PhysRevLett.87.040401
6. J. Eisert and M. Plenio, J. Mod. Opt. 46, 145 (1999)
7. K. Życzkowski, Phys. Rev. A 60, 3496 (1999) 10.1103/PhysRevA.60.3496
8. S. Virmani and M. B. Plenio, Phys. Lett. A 268, 31 (2000) 10.1016/S0375-9601(00)00157-2
9. A. Miranowicz and A. Grudka, Phys. Rev. A 70, 032326 (2004). 10.1103/PhysRevA.70.032326
10. T. C. Wei, K. Nemoto, P. M. Goldbart, P. G. Kwiat, W. J. Munro, and F. Verstraete, Phys. Rev. A 67, 022110 (2003). 10.1103/PhysRevA.67.022110
11. W. J. Munro, D. F. V. James, A. G. White, and P. G. Kwiat, Phys. Rev. A 64, 030302 (R) (2001). 10.1103/PhysRevA.64.030302
12. C. D. Ogden, M. Paternostro, and M. S. Kim, Phys. Rev. A 75, 042325 (2007). 10.1103/PhysRevA.75.042325
13. N. A. Peters, J. B. Altepeter, D. A. Branning, E. R. Jeffrey, T. C. Wei, and P. G. Kwiat, Phys. Rev. Lett. 92, 133601 (2004). 10.1103/PhysRevLett.92. 133601
14. M. Barbieri, F. De Martini, G. Di Nepi, and P. Mataloni, Phys. Rev. Lett. 92, 177901 (2004) 10.1103/PhysRevLett.92.177901
15. C. Cinelli, G. Di Nepi, F. De Martini, M. Barbieri, and P. Mataloni, Phys. Rev. A 70, 022321 (2004) 10.1103/PhysRevA.70.022321
16. G. Puentes, A. Aiello, D. Voigt, and J. P. Woerdman, Phys. Rev. A 75, 032319 (2007). 10.1103/PhysRevA.75.032319
17. S. G. Clark and A. S. Parkins, Phys. Rev. Lett. 90, 047905 (2003) 10.1103/PhysRevLett.90.047905;
18. S.-B. Li and J.-B. Xu, e-print arXiv:quant-ph/0507072
19. S.-B. Li, Phys. Rev. A 75, 054304 (2007) 10.1103/PhysRevA.75.054304
20. A. Aiello, G. Puentes, D. Voigt, and J. P. Woerdman, Phys. Rev. A 75, 062118 (2007) 10.1103/PhysRevA.75.062118
21. J. F. Ralph, T. D. Clark, T. P. Spiller, and W. J. Munro, Phys. Rev. B 70, 144527 (2004). 10.1103/PhysRevB.70.144527
22. M. Paternostro, W. Son, M. S. Kim, G. Falci, and G. M. Palma, Phys. Rev. A 70, 022320 (2004). 10.1103/PhysRevA.70.022320
23. S. Y. Cho and R. H. McKenzie, Phys. Rev. A 73, 012109 (2006). 10.1103/PhysRevA.73.012109
24. C. H. Bennett, D. P. DiVincenzo, J. A. Smolin, and W. K. Wootters, Phys. Rev. A 54, 3824 (1996). 10.1103/PhysRevA.54.3824
25. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, England, 2000).
26. Werner states are MEMS when linear entropy and negativity [G. Vidal and R. F. Werner, Phys. Rev. A 65, 032314 (2002) 10.1103/PhysRevA.65.032314
27. J. Lee, M. S. Kim, Y. J. Park, and S. Lee, J. Mod. Opt. 47, 2151 (2000) are chosen as mixedness and entanglement measures, respectively. 10.1080/09500340008235138
28. Y. Makhlin, G. Schön, and A. Shnirman, Rev. Mod. Phys. 73, 357 (2001). 10.1103/RevModPhys.73.357
29. A. Blais, R. S. Huang, A. Wallraff, S. M. Girvin, and R. J. Schoelkopf, Phys. Rev. A 69, 062320 (2004) 10.1103/PhysRevA.69.062320
30. A. Wallraff, Nature (London) 431, 162 (2004) 10.1038/nature02851
31. M. Paternostro, G. Falci, M. S. Kim, and G. M. Palma, Phys. Rev. B 69, 214502 (2004) 10.1103/PhysRevB.69.214502
32. J. Gambetta, A. Blais, D. I. Schuster, A. Wallraff, L. Frunzio, J. Majer, M. H. Devoret, S. M. Girvin, and R. J. Schoelkopf, Phys. Rev. A 74, 042318 (2006) 10.1103/PhysRevA.74.042318
33. D. I. Schuster, Nature (London) 445, 515 (2007). 10.1038/nature05461
34. C. C. Gerry and P. L. Knight, Introductory Quantum Optics (Cambridge University Press, New York, 2004).
35. E. T. Jaynes and F. W. Cummings, Proc. IEEE 51, 89 (1963) 10.1109/PROC.1963.1664
36. B. W. Shore and P. L. Knight, J. Mod. Opt. 40, 1195 (1993). 10.1080/09500349314551321
37. For instance, for r∼0.74, τ∼1.6, and λ∼0.64, the two spectra are given by the four eigenvalues {0.74, 0.26,0,0}.
38. The mean occupation number is related to the equilibrium temperature T of the cavity field and its frequency ωf through n̄ = (e ωf / Kb T -1) -1, with Kb Boltzmann constant.
39. C. W. Gardiner, Quantum Noise (Springer, Berlin, 1991).
40. G. S. Agarwal, R. R. Puri, and R. P. Singh, Phys. Rev. A 56, 2249 (1997). 10.1103/PhysRevA.56.2249
41. D. F. Walls and G. J. Milburn, Quantum Optics (Springer-Verlag, Berlin, 1994).
42. J. I. Cirac, Phys. Rev. A 46, 4354 (1992). 10.1103/PhysRevA.46.4354
43. This can be easily understood by considering that the two-qubit phase-damping Kraus operators for the sort of channel considered here do not affect the populations of the density matrix but only its coherences, which decay exponentially with Γ. Therefore, under phase damping, a matrix ρ2 associated to a set value of r is mapped into an isomorphic one associated with r′
44. J. Majer, Nature (London) 449, 443 (2007). 10.1038/nature06184
45. J. M. Fink, R. Bianchetti, M. Baur, M. Goeppl, L. Steffen, S. Filipp, P. J. Leek, A. Blais, and A. Wallraff, e-print arXiv:0812.2651.
46. S. Filipp, P. Maurer, P. Leek, M. Baur, R. Bianchetti, J. Fink, M. Goppl, L. Steffen, J. Gambetta, A. Blais, and A. Wallraff, e-print arXiv:0812.2485.