Single-experiment-detectable multipartite entanglement witness for ensemble quantum computing

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 75, Issue 3, 2007, Pages

  Rahimi, Robabeh ^a   Saitoh, Akira ^b   Nakahara, Mikio ^a   Kitagawa, Masahiro ^b  

^a KINKI UNIVERSITY   (Japan)

^b OSAKA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATION THEORY; MEASUREMENT THEORY;

LOCAL MEASUREMENTS; MULTIPARTITE ENTANGLEMENT; NONLOCAL OPERATIONS; QUANTUM STATE;

QUANTUM THEORY;

EID: 33947211478     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.75.032317     Document Type: Article

References (52)

1. R. R. Ernst, G. Bodenhausen, and A. Wokaun, Principles of Nuclear Magnetic Resonance in One and Two Dimensions (Oxford University Press, Oxford, 1994).
2. L. M. K. Vandersypen, M. Steffen, G. Breyta, C. S. Yannoni, M. H. Sherwood, and I. L. Chuang, Nature (London) NATUAS 0028-0836 10.1038/414883a 414, 883 (2001).
3. D. G. Cory, A. F. Fahmy, and T. F. Havel, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 10.1073/pnas.94.5.1634 94, 1634 (1997).
4. E. Knill, I. Chuang, and R. Laflamme, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.57.3348 57, 3348 (1998).
5. K. Życzkowski, P. Horodecki, A. Sanpera, and M. Lewenstein, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.58.883 58, 883 (1998).
6. S. L. Braunstein, C. M. Caves, R. Jozsa, N. Linden, S. Popescu, and R. Schack, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.1054 83, 1054 (1999).
7. R. Rahimi, K. Takeda, M. Ozawa, and M. Kitagawa, J. Phys. A JPHAC5 0305-4470 39, 2151 (2006).
8. A. Ekert and R. Jozsa, Philos. Trans. R. Soc. London, Ser. A PTRMAD 0962-8428 10.1098/rsta.1998.0248 356, 1769 (1998).
9. N. Linden and S. Popescu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.047901 87, 047901 (2001).
10. R. Rahimi, K. Sato, K. Furukawa, K. Toyota, D. Shiomi, T. Nakamura, M. Kitagawa, and T. Takui, Int. J. Quantum Inf. ZZZZZZ 0219-7499 3, 197 (2005).
11. M. Mehring, J. Mende, and W. Scherer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.153001 90, 153001 (2003).
12. M. Mehring, W. Scherer, and A. Weidinger, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.206603 93, 206603 (2004).
13. A. Peres, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.1413 77, 1413 (1996).
14. H. Horodecki, P. Horodecki, and R. Horodecki, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(96)00706-2 223, 1 (1996).
15. R. F. Werner and M. M. Wolf, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.61.062102 61, 062102 (2000).
16. J. M. G. Sancho and S. F. Huelga, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.61.042303 61, 042303 (2000).
17. P. Horodecki, Prog. Low Temp. Phys. PLTPAA 0079-6417 90A, 167901 (2003).
18. P. Horodecki and A. Ekert, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.127902 89, 127902 (2002).
19. B. M. Terhal and P. Horodecki, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.61.040301 61, 040301 (R) (2000).
20. M. Lewenstein, B. Kraus, J. I. Cirac, and P. Horodecki, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.62.052310 62, 052310 (2000).
21. M. Lewenstein, B. Kraus, P. Horodecki, and J. I. Cirac, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.63.044304 63, 044304 (2001).
22. D. Bruß, J. I. Cirac, P. Horodecki, F. Hulpke, B. Kraus, M. Levenstein, and A. Sanpera, J. Mod. Opt. JMOPEW 0950-0340 10.1080/ 09500340110105975 49, 1399 (2002).
23. G. Tóth and O. Gühne, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.060501 94, 060501 (2005).
24. O. Gühne and N. Lutkenhaus, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.170502 96, 170502 (2006).
25. M. Barbieri, F. De Martini, G. Di Nepi, P. Mataloni, G. M. D'Ariano, and C. Macchiavello, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.227901 91, 227901 (2003).
26. J. B. Altepeter, E. R. Jeffrey, P. G. Kwiat, S. Tanzilli, N. Gisin, and A. Acin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.033601 95, 033601 (2005).
27. N. Kiesel, C. Schmid, U. Weber, G. Tóth, O. Gühne, R. Ursin, and H. Weinfurter, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95. 210502 95, 210502 (2005).
28. D. Leibfried, E. Knill, S. Seidelin, J. Britton, R. B. Blakestad, J. Chiaverini, D. B. Hume, W. M. Itano, J. D. Jost, C. Langer, R. Ozeri, R. Reichle, and D. J. Wineland, Nature (London) NATUAS 0028-0836 10.1038/nature04251 438, 639 (2005).
29. H. Häffner, W. Hänsel, C. F. Roos, J. Benhelm, D. Chek-al-kar, M. Chwalla, T. Körber, U. D. Rapol, M. Riebe, P. O. Schmidt, C. Becher, O. Gühne, W. Düe, and R. Blatt, Nature (London) NATUAS 0028-0836 438, 643 (2005).
30. M. Bourennane, M. Eibl, C. Kurtsiefer, S. Gaertner, H. Weinfurter, O. Gühne, P. Hyllus, D. Bruß, M. Lewenstein, and A. Sanpera, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.087902 92, 087902 (2004).
31. G. Tóth, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.010301 71, 010301 (R) (2005).
32. C. Brukner and V. Vedral, e-print quant-ph/0406040.
33. M. R. Dowling, A. C. Doherty, and S. D. Bartlett, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.062113 70, 062113 (2004).
34. A. N. Jordan and M. Büttiker, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.247901 92, 247901 (2004).
35. L.-A. Wu, S. Bandyopadhyay, M. S. Sarandy, and D. A. Lidar, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.032309 72, 032309 (2005).
36. G. Tóth and O. Gühne, Appl. Phys. B: Lasers Opt. APBOEM 0946-2171 10.1007/s00340-005-2057-1 82, 237 (2006).
37. A. Acin, D. Bruß, M. Lewenstein, and A. Sanpera, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.040401 87, 040401 (2001).
38. P. Hyllus, C. M. Alves, D. Brusz, and C. Macchiavello, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.032316 70, 032316 (2004).
39. O. Gühne, P. Hyllus, D. Bruß, A. Ekert, M. Lewenstein, C. Macchiavello, and A. Sanpera, J. Mod. Opt. JMOPEW 0950-0340 10.1080/ 0950034021000057932 50, 1079 (2003).
40. O. Gühne, P. Hyllus, D. Bruß, A. Ekert, M. Lewenstein, C. Macchiavello, and A. Sanpera, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66. 062305 66, 062305 (2002).
41. O. Gühne and P. Hyllus, Int. J. Theor. Phys. IJTPBM 0020-7748 10.1023/A:1025422606845 42, 1001 (2003).
42. M. Bourennane, M. Eibl, C. Kurtsiefer, S. Gaertner, H. Weinfurter, O. Gühne, P. Hyllus, D. Bruß, M. Lewenstein, and A. Sanpera, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.087902 92, 087902 (2004).
43. G. Tóth and O. Gühne, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.022340 72, 022340 (2005).
44. B. M. Terhal, Theor. Comput. Sci. TCSCDI 0304-3975 10.1016/S0304-3975(02) 00139-1 287, 313 (2002).
45. D. Cavalcanti and M. O. Terra Cunha, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.2337535 89, 084102 (2006).
46. W. Dür, G. Vidal, and J. I. Cirac, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.62.062314 62, 062314 (2000).
47. T. M. Yu, K. R. Brown, and I. L. Chuang, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.032341 71, 032341 (2005).
48. The use of collective measurements for detection of entanglement for optical lattices of bosonic atoms has been shown by G. Tóth, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.052327 69, 052327 (2004).
49. D. G. Cory, J. B. Miller, and A. N. Garroway, J. Magn. Reson. (1969-1992) JOMRA4 0022-2364 10.1016/0022-2364(90)90380-R (1969-1992) 90, 205 (1990).
50. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, U.K., 2000).
51. W. Dür, H.-J. Briegel, J. I. Cirac, and P. Zoller, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.59.169 59, 169 (1999).
52. T. Schulte-Herbrüggen, A. Spörl, N. Khaneja, and S. J. Glaser, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.042331 72, 042331 (2005).