Fast quantum gates for neutral atoms

Physical Review Letters

Volumn 85, Issue 10, 2000, Pages 2208-2211

  Jaksch, D ^a   Cirac, J I ^a   Zoller, P ^a   Rolston, S L ^b   Cote R ^c   Lukin, M D ^d  

^a UNIVERSITY OF INNSBRUCK   (Austria)

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

^c UNIVERSITY OF CONNECTICUT   (United States)

^d HARVARD SMITHSONIAN CENTER FOR ASTROPHYSICS   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ATOMIC PHYSICS; ELECTRIC FIELD EFFECTS; ELECTRON TRAPS;

DIPOLE-DIPOLE INTERACTIONS; RYDBERG STATES; TWO QUBIT QUANTUM GATES;

QUANTUM THEORY;

EID: 0034273310     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.85.2208     Document Type: Article

References (20)

1. J. Gruska, Quantum Computing (McGraw-Hill, London, 1999); A. M. Steane, Rep. Prog. Phys. 61, 117 (1998).
2. J. Gruska, Quantum Computing (McGraw-Hill, London, 1999); A. M. Steane, Rep. Prog. Phys. 61, 117 (1998).
3. C. Sackett et al., Nature (London) 404, 256 (2000); A. Steane et al., quant-ph/0003087.
4. C. Sackett et al., Nature (London) 404, 256 (2000); A. Steane et al., quant-ph/0003087.
5. For a review, see H.-J. Briegel et al., J. Mod. Opt. 47, 415 (2000); R. Folman et al., quant-ph/9912106.
6. For a review, see H.-J. Briegel et al., J. Mod. Opt. 47, 415 (2000); R. Folman et al., quant-ph/9912106.
7. C. Hood et al., Science 287, 1447 (2000); A. Rauschenbeutel et al., Phys. Rev. Lett. 83, 5166 (2000).
8. C. Hood et al., Science 287, 1447 (2000); A. Rauschenbeutel et al., Phys. Rev. Lett. 83, 5166 (2000).
9. For neutral atom proposals, see G. K. Brennen et al., Phys. Rev. Lett. 82, 1060 (1999); D. Jaksch et al., Phys. Rev. Lett. 82, 1975 (1999); J. Ahn, T. C. Weinacht, and P. H. Bucksbaum, Science 287, 463 (2000); For ions, see A. Beige et al., quant-ph/9903059; J. I. Cirac and P. Zoller, Nature (London) 404, 579 (2000).
10. For neutral atom proposals, see G. K. Brennen et al., Phys. Rev. Lett. 82, 1060 (1999); D. Jaksch et al., Phys. Rev. Lett. 82, 1975 (1999); J. Ahn, T. C. Weinacht, and P. H. Bucksbaum, Science 287, 463 (2000); For ions, see A. Beige et al., quant-ph/9903059; J. I. Cirac and P. Zoller, Nature (London) 404, 579 (2000).
11. For neutral atom proposals, see G. K. Brennen et al., Phys. Rev. Lett. 82, 1060 (1999); D. Jaksch et al., Phys. Rev. Lett. 82, 1975 (1999); J. Ahn, T. C. Weinacht, and P. H. Bucksbaum, Science 287, 463 (2000); For ions, see A. Beige et al., quant-ph/9903059; J. I. Cirac and P. Zoller, Nature (London) 404, 579 (2000).
12. For neutral atom proposals, see G. K. Brennen et al., Phys. Rev. Lett. 82, 1060 (1999); D. Jaksch et al., Phys. Rev. Lett. 82, 1975 (1999); J. Ahn, T. C. Weinacht, and P. H. Bucksbaum, Science 287, 463 (2000); For ions, see A. Beige et al., quant-ph/9903059; J. I. Cirac and P. Zoller, Nature (London) 404, 579 (2000).
13. For neutral atom proposals, see G. K. Brennen et al., Phys. Rev. Lett. 82, 1060 (1999); D. Jaksch et al., Phys. Rev. Lett. 82, 1975 (1999); J. Ahn, T. C. Weinacht, and P. H. Bucksbaum, Science 287, 463 (2000); For ions, see A. Beige et al., quant-ph/9903059; J. I. Cirac and P. Zoller, Nature (London) 404, 579 (2000).
14. T. F. Gallagher, Rydberg Atoms (Cambridge University Press, New York, 1994).
15. In hydrogen we use the outermost Stark eigenstate with |n, q = n - 1, m = 0〉 as an initial state. In alkali atoms the initial state has to be chosen from a careful analysis of the Stark map. See D. Jaksch et al. (unpublished).
16. For two atoms at a distance R ∼ λ an inhomogeneous electric field gives a different Stark shift of the two Rydberg states, which allows individual addressing via frequency selection. See D. Jaksch et al. (unpublished).
17. 2.
18. In fact, this dependence can be entirely eliminated in the approach where splitting rather than shift of the state \rr〉 is involved. This regime can be achieved by choosing dc electric fields so that the energy splitting of a pair of transitions np → ns and np → (n + 1)s becomes degenerate [see, e.g., I. Mourachko et al., Phys. Rev. Lett. 80, 253 (1998); W. R. Anderson et al., ibid. 80, 249 (1998)], which results in rapid hopping of excitation between atoms and associated energy splitting. See also M. D. Lukin and P. R. Hemme, Phys. Rev. Lett. 84, 2812 (2000).
19. In fact, this dependence can be entirely eliminated in the approach where splitting rather than shift of the state \rr〉 is involved. This regime can be achieved by choosing dc electric fields so that the energy splitting of a pair of transitions np → ns and np → (n + 1)s becomes degenerate [see, e.g., I. Mourachko et al., Phys. Rev. Lett. 80, 253 (1998); W. R. Anderson et al., ibid. 80, 249 (1998)], which results in rapid hopping of excitation between atoms and associated energy splitting. See also M. D. Lukin and P. R. Hemme, Phys. Rev. Lett. 84, 2812 (2000).
20. In fact, this dependence can be entirely eliminated in the approach where splitting rather than shift of the state \rr〉 is involved. This regime can be achieved by choosing dc electric fields so that the energy splitting of a pair of transitions np → ns and np → (n + 1)s becomes degenerate [see, e.g., I. Mourachko et al., Phys. Rev. Lett. 80, 253 (1998); W. R. Anderson et al., ibid. 80, 249 (1998)], which results in rapid hopping of excitation between atoms and associated energy splitting. See also M. D. Lukin and P. R. Hemme, Phys. Rev. Lett. 84, 2812 (2000).