Distillation of entanglement between distant systems by repeated measurements on an entanglement mediator

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 70, Issue 5 A, 2004, Pages

  Compagno, G ^a   Messina, A ^a   Nakazato, Hiromichi ^b   Napoli, A ^a   Unoki, Makoto ^b   Yuasa, Kazuya ^b  

^a UNIVERSITY OF PALERMO   (Italy)

^b WASEDA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

DISTILLATION; EIGENVALUES AND EIGENFUNCTIONS; HAMILTONIANS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; PROBABILITY; PROBLEM SOLVING; PURIFICATION; QUANTUM THEORY;

ENTANGLEMENT; QUANTUM INFORMATION; QUANTUM TELEPORTATION; ZENO-LIKE MEASUREMENTS;

MEASUREMENT THEORY;

EID: 42749107861     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevA.70.052316     Document Type: Article

References (34)

1. C. H. Bennett, G. Brassard, S. Popescu, B. Schumacher, J. A. Smolin, and W. K. Wootters, Phys. Rev. Lett. 76, 722 (1996); 78, 2031(E) (1997); C. H. Bennett, D. P. DiVincenzo, J. A. Smolin, and W. K. Wootters, Phys. Rev. A 54, 3824 (1996); J. I. Cirac, A. K. Ekert, and C. Macchiavello, Phys. Rev. Lett. 82, 4344 (1999).
2. C. H. Bennett, G. Brassard, S. Popescu, B. Schumacher, J. A. Smolin, and W. K. Wootters, Phys. Rev. Lett. 76, 722 (1996); 78, 2031(E) (1997); C. H. Bennett, D. P. DiVincenzo, J. A. Smolin, and W. K. Wootters, Phys. Rev. A 54, 3824 (1996); J. I. Cirac, A. K. Ekert, and C. Macchiavello, Phys. Rev. Lett. 82, 4344 (1999).
3. C. H. Bennett, G. Brassard, S. Popescu, B. Schumacher, J. A. Smolin, and W. K. Wootters, Phys. Rev. Lett. 76, 722 (1996); 78, 2031(E) (1997); C. H. Bennett, D. P. DiVincenzo, J. A. Smolin, and W. K. Wootters, Phys. Rev. A 54, 3824 (1996); J. I. Cirac, A. K. Ekert, and C. Macchiavello, Phys. Rev. Lett. 82, 4344 (1999).
4. C. H. Bennett, G. Brassard, S. Popescu, B. Schumacher, J. A. Smolin, and W. K. Wootters, Phys. Rev. Lett. 76, 722 (1996); 78, 2031(E) (1997); C. H. Bennett, D. P. DiVincenzo, J. A. Smolin, and W. K. Wootters, Phys. Rev. A 54, 3824 (1996); J. I. Cirac, A. K. Ekert, and C. Macchiavello, Phys. Rev. Lett. 82, 4344 (1999).
5. For reviews, see The Physics of Quantum Information, edited by D. Bouwmeester, A. Ekert, and A. Zeilinger (Springer, Heidelberg, 2000); A. Galindo and M. A. Martin-Delgado, Rev. Mod. Phys. 74, 347 (2002), and references therein.
6. For reviews, see The Physics of Quantum Information, edited by D. Bouwmeester, A. Ekert, and A. Zeilinger (Springer, Heidelberg, 2000); A. Galindo and M. A. Martin-Delgado, Rev. Mod. Phys. 74, 347 (2002), and references therein.
7. H. Nakazato, T. Takazawa, and K. Yuasa, Phys. Rev. Lett. 90, 060401 (2003); K. Yuasa, H. Nakazato, and T. Takazawa, J. Phys. Soc. Jpn. 72 Suppl. C, 34 (2003).
8. H. Nakazato, T. Takazawa, and K. Yuasa, Phys. Rev. Lett. 90, 060401 (2003); K. Yuasa, H. Nakazato, and T. Takazawa, J. Phys. Soc. Jpn. 72 Suppl. C, 34 (2003).
9. In this respect, the present scheme seems to be closely related to the so-called quantum Zeno effect, though the mechanism is quite different, as has been pointed out in Ref. [3]. As for the quantum Zeno effect, see, for example, B. Misra and E. C. G. Sudarshan, J. Math. Phys. 18, 756 (1977); K. Kraus, Found. Phys. 11, 547 (1981); H. Nakazato, M. Namiki, and S. Pascazio, Int. J. Mod. Phys. B 10, 247 (1996); D. Home and M. A. B. Whitaker, Ann. Phys. (N.Y.) 258, 237 (1997); P. Facchi and S. Pascazio, in Progress in Optics, edited by E. Wolf (Elsevier, Amsterdam, 2001), Vol. 42, p. 147.
10. In this respect, the present scheme seems to be closely related to the so-called quantum Zeno effect, though the mechanism is quite different, as has been pointed out in Ref. [3]. As for the quantum Zeno effect, see, for example, B. Misra and E. C. G. Sudarshan, J. Math. Phys. 18, 756 (1977); K. Kraus, Found. Phys. 11, 547 (1981); H. Nakazato, M. Namiki, and S. Pascazio, Int. J. Mod. Phys. B 10, 247 (1996); D. Home and M. A. B. Whitaker, Ann. Phys. (N.Y.) 258, 237 (1997); P. Facchi and S. Pascazio, in Progress in Optics, edited by E. Wolf (Elsevier, Amsterdam, 2001), Vol. 42, p. 147.
11. In this respect, the present scheme seems to be closely related to the so-called quantum Zeno effect, though the mechanism is quite different, as has been pointed out in Ref. [3]. As for the quantum Zeno effect, see, for example, B. Misra and E. C. G. Sudarshan, J. Math. Phys. 18, 756 (1977); K. Kraus, Found. Phys. 11, 547 (1981); H. Nakazato, M. Namiki, and S. Pascazio, Int. J. Mod. Phys. B 10, 247 (1996); D. Home and M. A. B. Whitaker, Ann. Phys. (N.Y.) 258, 237 (1997); P. Facchi and S. Pascazio, in Progress in Optics, edited by E. Wolf (Elsevier, Amsterdam, 2001), Vol. 42, p. 147.
12. In this respect, the present scheme seems to be closely related to the so-called quantum Zeno effect, though the mechanism is quite different, as has been pointed out in Ref. [3]. As for the quantum Zeno effect, see, for example, B. Misra and E. C. G. Sudarshan, J. Math. Phys. 18, 756 (1977); K. Kraus, Found. Phys. 11, 547 (1981); H. Nakazato, M. Namiki, and S. Pascazio, Int. J. Mod. Phys. B 10, 247 (1996); D. Home and M. A. B. Whitaker, Ann. Phys. (N.Y.) 258, 237 (1997); P. Facchi and S. Pascazio, in Progress in Optics, edited by E. Wolf (Elsevier, Amsterdam, 2001), Vol. 42, p. 147.
13. In this respect, the present scheme seems to be closely related to the so-called quantum Zeno effect, though the mechanism is quite different, as has been pointed out in Ref. [3]. As for the quantum Zeno effect, see, for example, B. Misra and E. C. G. Sudarshan, J. Math. Phys. 18, 756 (1977); K. Kraus, Found. Phys. 11, 547 (1981); H. Nakazato, M. Namiki, and S. Pascazio, Int. J. Mod. Phys. B 10, 247 (1996); D. Home and M. A. B. Whitaker, Ann. Phys. (N.Y.) 258, 237 (1997); P. Facchi and S. Pascazio, in Progress in Optics, edited by E. Wolf (Elsevier, Amsterdam, 2001), Vol. 42, p. 147.
14. K. Yuasa, H. Nakazato, and M. Unoki, J. Mod. Opt. 51, 1005 (2004); H. Nakazato, M. Unoki, and K. Yuasa, Phys. Rev. A 70, 012303 (2004).
15. K. Yuasa, H. Nakazato, and M. Unoki, J. Mod. Opt. 51, 1005 (2004); H. Nakazato, M. Unoki, and K. Yuasa, Phys. Rev. A 70, 012303 (2004).
16. L.-A. Wu, D. A. Lidar, and S. Schneider, Phys. Rev. A 70, 032322 (2004).
17. For reviews, see C. H. Bennett and D. P. DiVincenzo, Nature (London) 404, 247 (2000); M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, U.K., 2000), and references therein.
18. For reviews, see C. H. Bennett and D. P. DiVincenzo, Nature (London) 404, 247 (2000); M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, U.K., 2000), and references therein.
19. P. Meystre, in Progress in Optics, edited by E. Wolf (Elsevier Science, New York, 1992), Vol. 30, p. 261; J. A. Bergou and M. Hillery, Phys. Rev. A 55, 4585 (1997); A. Messina. Eur. Phys. J. D 18, 379 (2002); D. E. Browne and M. B. Plenio, Phys. Rev. A 67, 012325 (2003).
20. P. Meystre, in Progress in Optics, edited by E. Wolf (Elsevier Science, New York, 1992), Vol. 30, p. 261; J. A. Bergou and M. Hillery, Phys. Rev. A 55, 4585 (1997); A. Messina. Eur. Phys. J. D 18, 379 (2002); D. E. Browne and M. B. Plenio, Phys. Rev. A 67, 012325 (2003).
21. P. Meystre, in Progress in Optics, edited by E. Wolf (Elsevier Science, New York, 1992), Vol. 30, p. 261; J. A. Bergou and M. Hillery, Phys. Rev. A 55, 4585 (1997); A. Messina. Eur. Phys. J. D 18, 379 (2002); D. E. Browne and M. B. Plenio, Phys. Rev. A 67, 012325 (2003).
22. P. Meystre, in Progress in Optics, edited by E. Wolf (Elsevier Science, New York, 1992), Vol. 30, p. 261; J. A. Bergou and M. Hillery, Phys. Rev. A 55, 4585 (1997); A. Messina. Eur. Phys. J. D 18, 379 (2002); D. E. Browne and M. B. Plenio, Phys. Rev. A 67, 012325 (2003).
23. A. Napoli, A. Messina, and G. Compagno, Fortschr. Phys. 51, 81 (2003).
24. H. Mabuchi and A. Doherty, Science 298, 1372 (2002).
25. E. Hagley, X. Maǐtre, G. Nogues, C. Wunderlich, M. Brune, J. M. Raimond, and S. Haroche, Phys. Rev. Lett. 79, 1 (1997); M. Weidinger, B. T. H. Varcoe, R. Heerlein, and H. Walther, ibid. 82, 3795 (1999); A. Rauschenbeutel, G. Nogues, S. Osnaghi, P. Bertet, M. Brune, J. M. Raimond, and S. Haroche, ibid. 83, 5166 (1999); J. M. Raimond, M. Brune, and S. Haroche, Rev. Mod. Phys. 73, 565 (2001).
26. E. Hagley, X. Maǐtre, G. Nogues, C. Wunderlich, M. Brune, J. M. Raimond, and S. Haroche, Phys. Rev. Lett. 79, 1 (1997); M. Weidinger, B. T. H. Varcoe, R. Heerlein, and H. Walther, ibid. 82, 3795 (1999); A. Rauschenbeutel, G. Nogues, S. Osnaghi, P. Bertet, M. Brune, J. M. Raimond, and S. Haroche, ibid. 83, 5166 (1999); J. M. Raimond, M. Brune, and S. Haroche, Rev. Mod. Phys. 73, 565 (2001).
27. E. Hagley, X. Maǐtre, G. Nogues, C. Wunderlich, M. Brune, J. M. Raimond, and S. Haroche, Phys. Rev. Lett. 79, 1 (1997); M. Weidinger, B. T. H. Varcoe, R. Heerlein, and H. Walther, ibid. 82, 3795 (1999); A. Rauschenbeutel, G. Nogues, S. Osnaghi, P. Bertet, M. Brune, J. M. Raimond, and S. Haroche, ibid. 83, 5166 (1999); J. M. Raimond, M. Brune, and S. Haroche, Rev. Mod. Phys. 73, 565 (2001).
28. E. Hagley, X. Maǐtre, G. Nogues, C. Wunderlich, M. Brune, J. M. Raimond, and S. Haroche, Phys. Rev. Lett. 79, 1 (1997); M. Weidinger, B. T. H. Varcoe, R. Heerlein, and H. Walther, ibid. 82, 3795 (1999); A. Rauschenbeutel, G. Nogues, S. Osnaghi, P. Bertet, M. Brune, J. M. Raimond, and S. Haroche, ibid. 83, 5166 (1999); J. M. Raimond, M. Brune, and S. Haroche, Rev. Mod. Phys. 73, 565 (2001).
29. R. J. Thompson, G. Rempe, and H. J. Kimble, Phys. Rev. Lett. 68, 1132 (1992); C. J. Hood, T. W. Lynn, A. C. Doherty, A. S. Parkins, and H. J. Kimble, Science 287, 1447 (2000).
30. R. J. Thompson, G. Rempe, and H. J. Kimble, Phys. Rev. Lett. 68, 1132 (1992); C. J. Hood, T. W. Lynn, A. C. Doherty, A. S. Parkins, and H. J. Kimble, Science 287, 1447 (2000).
31. E. T. Jaynes and F. W. Cummings, Proc. IEEE 51, 89 (1963); see also M. O. Scully and H. Walther, Phys. Rev. A 39, 5229 (1989).
32. E. T. Jaynes and F. W. Cummings, Proc. IEEE 51, 89 (1963); see also M. O. Scully and H. Walther, Phys. Rev. A 39, 5229 (1989).
33. H. Walther, in Quantum Communication, Computing, and Measurement 3, edited by P. Tombesi and O. Hirota (Kluwer Academic/Plenum, New York, 2001), p. 463.
34. S. Haroche, in Fundamental Systems in Quantum Optics, edited by J. Dalibard, J.-M. Raimond, and J. Zinn-Justin (North-Holland, Amsterdam, 1992).