Experimental demonstration of a technique to generate arbitrary quantum superposition states of a harmonically bound spin-1/2 particle

Physical Review Letters

Volumn 90, Issue 3, 2003, Pages

  Ben Kish, A ^a   DeMarco, B ^a   Meyer, V ^a   Rowe, M ^a   Britton, J ^a   Itano, W M ^a   Jelenkovic B M ^a,b   Langer, C ^a   Leibfried, D ^a   Rosenband, T ^a   Wineland, D J ^a  

^a NATIONAL INSTITUTE OF STANDARDS AND TECHNOLOGY   (United States)

^b UNIVERSITY OF BELGRADE   (Serbia)

Author keywords

[No Author keywords available]

Indexed keywords

BERYLLIUM; COMPUTER SIMULATION; EIGENVALUES AND EIGENFUNCTIONS; FLUORESCENCE; GROUND STATE; INVERSE PROBLEMS; LASER BEAMS; MOLECULAR DYNAMICS; OSCILLATORS (ELECTRONIC); PARTICLES (PARTICULATE MATTER); POSITIVE IONS; STATISTICAL METHODS;

HARMONIC OSCILLATOR; HARMONIC POTENTIAL; LAW-EBERLY METHOD; QUANTUM COMPUTER; QUANTUM STATE SYNTHESIS; QUANTUM SUPERPOSITION STATE;

QUANTUM THEORY;

EID: 0037462902     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (27)

1. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, 2000).
2. H. Rabitz, R. de Vivie-Riedle, M. Motzkus, and K. Kompa, Science 288, 824 (2000).
3. C. K. Law and J. H. Eberly, Phys. Rev. Lett. 76, 1055 (1996).
4. D. M. Meekhof et al., Phys. Rev. Lett. 76, 1796 (1996).
5. C. Roos et al., Phys. Rev. Lett. 83, 4713 (1999).
6. B. Kneer and C. K. Law, Phys. Rev. A 57, 2096 (1998).
7. S. Lloyd and S. K. Law, Phys. Rev. Lett. 82, 1784 (1999).
8. D. Gottesman, A. Kitaev, and J. Preskill, Phys. Rev. A 64, 012310 (2001).
9. J. I. Cirac and P. Zoller, Phys. Rev. Lett. 74, 4091 (1995).
10. C. A. Sackett, Quantum Inf. Comput. 1, 57 (2001).
11. D. F. Walls and G. J. Milburn, Quantum Optics (Springer, Berlin, 1994).
12. K. Vogel, V. M. Akulin, and W. P. Schleich, Phys. Rev. Lett. 71, 1816 (1993).
13. B. M. Garraway, B. Sherman, H. Moya-Cessa, P. L. Knight, and G. Kurizki, Phys. Rev. A 49, 535 (1994).
14. A. S. Parkins, P. Marte, P. Zoller, and H. J. Kimble, Phys. Rev. Lett. 71, 3095 (1993).
15. C. K. Law, J. H. Eberly, and B. Kneer, J. Mod. Opt. 44, 2149 (1997).
16. S. A. Gardiner, J. I. Cirac, and P. Zoller, Phys. Rev. A 55, 1683 (1997).
17. D. J. Wineland and W. M. Itano, Phys. Rev. A 20, 1521 (1979).
18. M. A. Rowe et al., Quantum Inf. Comput. 2, 257 (2002).
19. D. J. Wineland et al., J. Res. Natl. Inst. Stand. Technol. 103, 259 (1998).
20. M. A. Rowe et al., Nature (London) 409, 791 (2001).
21. C. Monroe, D. M. Meekhof, B. E. King, W. M. Itano, and D. J. Wineland, Phys. Rev. Lett. 75, 4714 (1995).
22. D. Leibfried, D. M. Meekhof, C. Monroe, B. E. King, W. M. Itano, and D. J. Wineland, J. Mod. Opt. 44, 2485 (1997).
23. We include the possibility for population only in the n = 0, 1, 2, 3 levels in the fits. We estimate that the probability that ambient heating and off-resonant coupling to other sideband transitions populates levels higher than n = 3 after the state generation pulses is less than 0.1%.
24. The fit assumes phases of only 0 or π between coherent superposition amplitudes that exist between coupled states. If other phases exist, the Rabi oscillation contrast is reduced and we underestimate the populations. We determine that, to a good approximation, other phases can be ruled out because the sum of populations (left as a free parameter) sum to unity within the fit uncertainty.
25. C. A. Sackett et al., Nature (London) 404, 256 (2000).
26. S. M. Barnett and D. T. Pegg, Phys. Rev. Lett. 76, 4148 (1996).
27. C. K. Law and J. H. Eberly, Opt Express 2, 368 (1998).