Adiabatic geometric phase gate with a quantized control field

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 74, Issue 5, 2006, Pages

  Siddiqui, Shabnam ^a   Gea Banacloche, Julio ^a  

^a UNIVERSITY OF ARKANSAS   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CONSTRAINT THEORY; ERROR DETECTION; PHOTONS; PROBABILITY;

ADIABATICITY CONSTRAINTS; NONADIABATIC GATES; QUANTIZED CONTROL FIELDS;

GEOMETRICAL OPTICS;

EID: 33845245655     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.74.052337     Document Type: Article

References (28)

1. P. Zanardi and M. Rasetti, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(99)00803-8 264, 94 (1999).
2. M. V. Berry, Proc. R. Soc. London, Ser. A PRLAAZ 1364-5021 392, 47 (1984).
3. A. Shapere and F. Wilczek, Geometric Phases in Physics (World Scientific, Singapore, 1988).
4. B. Simon, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.51.2167 51, 2167 (1983).
5. A. Ekert, M. Ericsson, P. Hayden, H. Inamori, J. A. Jones, D. K. L. Oi, and V. Vedral, J. Mod. Opt. JMOPEW 0950-0340 10.1080/095003400750039500 47, 2501 (2000).
6. J. A. Jones, V. Vedral, A. Ekert, and G. Castagnoli, Nature (London) NATUAS 0028-0836 10.1038/35002528 403, 869 (2000).
7. A. Nazir, T. P. Spiller, and W. J. Munro, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.042303 65, 042303 (2002).
8. A. Blais and A.-M. S. Tremblay, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.012308 67, 012308 (2003).
9. R. G. Unanyan and M. Fleischhauer, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.050302 69, 050302 (2004).
10. P. Solinas, P. Zanardi, and N. Zanghi, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.042316 70, 042316 (R) (2004).
11. A. Recati, T. Calarco, P. Zanardi, I. J. Cirac, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.032309 66, 032309 (2002).
12. G. Falci, R. Fazio, G. M. Palma, J. Siewert, and V. Vedral, Nature (London) NATUAS 0028-0836 10.1038/35030052 407, 355 (2000).
13. J. Pachos, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.042318 66, 042318 (2002).
14. J. Gea-Banacloche, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 89.217901 89, 217901 (2002).
15. J. Gea-Banacloche and M. Ozawa, J. Opt. B: Quantum Semiclassical Opt. JOBOFD 1464-4266 10.1088/1464-4266/7/10/017 7, S326 (2005);
16. see also M. Ozawa, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 89.057902 89, 057902 (2002).
17. J. Gea-Banacloche, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65. 022308 65, 022308 (2002).
18. S. J. van Enk and H. J. Kimble, Quantum Inf. Comput. QICUAW 1533-7146 2, 1 (2002).
19. I. Fuentes-Guridi, A. Carollo, S. Bose, and V. Vedral, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.220404 89, 220404 (2002).
20. A. Carollo, I. Fuentes-Guridi, M. F. Santos, and V. Vedral, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.020402 92, 020402 (2004).
21. J. Gea-Banacloche, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.46.7307 46, 7307 (1992).
22. J. Gea-Banacloche, Opt. Commun. OPCOB8 0030-4018 10.1016/0030-4018(92) 90082-3 88, 531 (1992).
23. G. A. Finney and J. Gea-Banacloche, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.50.2040 50, 2040 (1994).
24. S. M. Chumakov, A. B. Klimov, and J. J. Sánchez-Mondragón, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.49.4972 49, 4972 (1994).
25. See, for example, M. O. Scully and M. S. Zubairy, Quantum Optics (Cambridge University Press, Cambridge, 1997), Sec. 2.1.
26. The original result is due to R. J. Glauber, in Quantum Optics and Electronics, Les Houches, edited by, C. DeWitt, A. Blandin, and, C. Cohen-Tannoudji, (Gordon and Breach, New York, 1965).
27. W. M. Itano, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.046301 68, 046301 (2003).
28. J. Gea-Banacloche, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68. 046303 68, 046303 (2003).