Multipartite purification protocols: Upper and optimal bounds

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 75, Issue 6, 2007, Pages

  Kay, Alastair ^a   Pachos, Jiannis K ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

GRAPHIC METHODS; SPURIOUS SIGNAL NOISE;

BIPARTITE STATES; MULTIPARTITE PURIFICATION PROTOCOLS; VALENCE BOND STATES;

ELECTRON ENERGY LEVELS;

EID: 34347366399     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.75.062307     Document Type: Article

References (35)

1. M. Christandl and S. Wehner, Lect. Notes Comput. Sci. LNCSD9 0302-9743 3788, 217 (2005).
2. R. Raussendorf and H. J. Briegel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.5188 86, 5188 (2001).
3. R. Raussendorf, D. E. Browne, and H. J. Briegel, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.022312 68, 022312 (2003).
4. Y. L. Lim, A. Beige, and L. C. Kwek, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.030505 95, 030505 (2005).
5. S. D. Barrett and P. Kok, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.060310 71, 060310 (R) (2005).
6. D. Gross, K. Kieling, and J. Eisert, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.042343 74, 042343 (2006).
7. D. Deutsch, A. Ekert, R. Jozsa, C. Macchiavello, S. Popescu, and A. Sanpera, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.2818 77, 2818 (1996).
8. C. H. Bennett, G. Brassard, S. Popescu, B. Schumacher, J. A. Smolin, and W. K. Wootters, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76.722 76, 722 (1996).
9. H.-J. Briegel, W. Dür, J. I. Cirac, and P. Zoller, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.5932 81, 5932 (1998).
10. M. Murao, M. B. Plenio, S. Popescu, V. Vedral, and P. L. Knight, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.57.R4075 57, R4075 (1998).
11. W. Dür, H. Aschauer, and H.-J. Briegel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.107903 91, 107903 (2003).
12. H. Aschauer, W. Dür, and H.-J. Briegel, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.012319 71, 012319 (2005).
13. C. Kruszynska, A. Miyake, H. J. Briegel, and W. Dür, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.052316 74, 052316 (2006).
14. S. Glancy, E. Knill, and H. M. Vasconcelos, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.032319 74, 032319 (2006).
15. K. Goyal, A. McCauley, and R. Raussendorf, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.032318 74, 032318 (2006).
16. R. Raussendorf, S. Bravyi, and J. Harrington, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.062313 71, 062313 (2005).
17. 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).
18. G. Vidal and R. Tarrach, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.59.141 59, 141 (1999).
19. W. Dür and J. I. Cirac, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.61.042314 61, 042314 (2000).
20. A. Kay, J. K. Pachos, W. Dür, and H.-J. Briegel, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/8/8/147 8, 147 (2006).
21. M. Hein, J. Eisert, and H. J. Briegel, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.062311 69, 062311 (2004).
22. F. Verstraete and J. I. Cirac, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.060302 70, 060302 (R) (2004).
23. M. Hein, W. Dür, J. Eisert, R. Raussendorf, M. V. den Nest, and H.-J. Briegel, in Vol. 162 of Proceedings of the International School of Physics "Enrico Fermi" on "Quantum Computers, Algorithms and Chaos," edited by, G. Casati, D. L. Shepelyansky, P. Zoller, and, G. Benenti, (IOS Press, Amsterdam, 2006).
24. B. Zeng, H. Chung, A. W. Cross, and I. L. Chuang, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.032325 75, 032325 (2007).
25. W. Dür and H.-J. Briegel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.180403 92, 180403 (2004).
26. M. Horodecki, P. Horodecki, and R. Horodecki, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(96)00706-2 223, 1 (1996).
27. A. Peres, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.1413 77, 1413 (1996).
28. F. Verstraete, J. Dehaene, and B. De Moor, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.032308 65, 032308 (2002).
29. G. Alber, A. Delgado, N. Gisin, and I. Jex, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/34/42/307 34, 8821 (2001).
30. M. A. Martín-Delgado and M. Navascués, Eur. Phys. J. D EPJDF6 1434-6060 10.1140/epjd/e2003-00250-2 27, 169 (2003).
31. F. Verstraete, M. A. Martín-Delgado, and J. I. Cirac, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.087201 92, 087201 (2004).
32. F. Verstraete, D. Porras, and J. I. Cirac, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.227205 93, 227205 (2004 b).
33. I. Affleck, T. Kennedy, E. H. Lieb, and H. Tasaki, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/BF01218021 115, 477 (1988).
34. W. Dür, L. Hartmann, M. Hein, M. Lewenstein, and H.-J. Briegel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.097203 94, 097203 (2005).
35. M. Popp, F. Verstraete, M. A. Martin-Delgado, and J. I. Cirac, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.042306 71, 042306 (2005).