Scaling the neutral-atom Rydberg gate quantum computer by collective encoding in holmium atoms

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 78, Issue 1, 2008, Pages

  Saffman, M ^a   Molmer K ^b  

^a University of Wisconsin ^*  (United States)

^b AARHUS UNIVERSITY   (Denmark)

Author keywords

[No Author keywords available]

Indexed keywords

ATOMS; ENCODING (SYMBOLS); HOLMIUM; QUANTUM COMPUTERS; RARE EARTH ELEMENTS;

AMERICAN PHYSICAL SOCIETY (APS); FEASIBLE DESIGN; HYPERFINE GROUND STATES; LATTICE (CO); MECHANICAL MOTIONS; OPTICAL LATTICES; RARE EARTHS; RYDBERG; SCALING FACTORS; THREE DIMENSIONS; TWO DIMENSIONS;

ATOMIC PHYSICS;

EID: 47749146557     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.78.012336     Document Type: Article

References (58)

1. M. A. Nielsen and I L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, U.K., 2000).
2. D. Leibfried, E. Knill, S. Seidelin, J. Britton, R. B. Blakestad, J. Chiaverini, D. B. Hume, W. M. Itano, J. D. Jost, C. Langer, R. Ozeri, R. Reichle, and D. J. Wineland, Nature (London) NATUAS 0028-0836 10.1038/nature04251 438, 639 (2005).
3. H. Häffner, W. Hänsel, C. F. Roos, J. Benhelm, D. Chek-al-kar, M. Chwalla, T. Körber, U. D. Rapol, M. Riebel, P. O. Schmidt, C. Becher, O. Gühne, W. Dür, and R. Blatt, Nature (London) NATUAS 0028-0836 10.1038/nature04279 438, 643 (2005).
4. L. M. K. Vandersypen, M. Steffen, G. Breyta, C. S. Yannoni, M. H. Sherwood, and I. L. Chuang, Nature (London) NATUAS 0028-0836 10.1038/414883a 414, 883 (2001).
5. J. I. Cirac and P. Zoller, Nature (London) NATUAS 0028-0836 10.1038/35007021 404, 579 (2000)
6. D. Kielpinski, C. Monroe, and D. J. Wineland, Nature (London) NATUAS 0028-0836 10.1038/nature00784 417, 709 (2002)
7. S. Seidelin, J. Chiaverini, R. Reichle, J. J. Bollinger, D. Leibfried, J. Britton, J. H. Wesenberg, R. B. Blakestad, R. J. Epstein, D. B. Hume, W. M. Itano, J. D. Jost, C. Langer, R. Ozeri, N. Shiga, and D. J. Wineland, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.253003 96, 253003 (2006)
8. A. M. Steane, Quantum Inf. Comput. QICUAW 1533-7146 7, 171 (2007).
9. L. C. L. Hollenberg, A. D. Greentree, A. G. Fowler, and C. J. Wellard, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.74.045311 74, 045311 (2006)
10. M. Friesen, A. Biswas, X. Hu, and D. Lidar, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.230503 98, 230503 (2007).
11. J. Majer, J. M. Chow, J. M. Gambetta, J. Koch, B. R. Johnson, J. A. Schreier, L. Frunzio, D. I. Schuster, A. A. Houck, A. Wallraff, A. Blais, M. H. Devoret, S. M. Girvin, and R. J. Schoelkopf, Nature (London) NATUAS 0028-0836 10.1038/nature06184 449, 443 (2007).
12. P. Kok, W. J. Munro, K. Nemoto, T. C. Ralph, J. P. Dowling, and G. J. Milburn, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.79.135 79, 135 (2007).
13. J. H. Wesenberg, K. Mølmer, L. Rippe, and S. Kröll, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.012304 75, 012304 (2007).
14. L. Jiang, J. M. Taylor, A. S. Sørensen, and M. D. Lukin, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.062323 76, 062323 (2007).
15. D. Jaksch, J. I. Cirac, P. Zoller, S. L. Rolston, R. Côté, and M. D. Lukin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.2208 85, 2208 (2000).
16. K. M. Svore, B. M. Terhal, and D. P. DiVincenzo, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.022317 72, 022317 (2005).
17. P. Aliferis, D. Gottesman, and J. Preskill, Quantum Inf. Comput. QICUAW 1533-7146 6, 97 (2006).
18. E. Brion, K. Mølmer, and M. Saffman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.260501 99, 260501 (2007).
19. E. Brion, L. H. Pedersen, M. Saffman, and K. Mølmer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.110506 100, 110506 (2008).
20. M. D. Lukin, M. Fleischhauer, R. Côté, L. M. Duan, D. Jaksch, J. I. Cirac, and P. Zoller, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.037901 87, 037901 (2001).
21. I. E. Protsenko, G. Reymond, N. Schlosser, and P. Grangier, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.052301 65, 052301 (2002).
22. M. Saffman and T. G. Walker, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.022347 72, 022347 (2005).
23. M. Cozzini, T. Calarco, A. Recati, and P. Zoller, Opt. Commun. OPCOB8 0030-4018 10.1016/j.optcom.2006.01.060 264, 375 (2006).
24. D. Frese, B. Ueberholz, S. Kuhr, W. Alt, D. Schrader, V. Gomer, and D. Meschede, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.3777 85, 3777 (2000).
25. N. Schlosser, G. Reymond, I. Protsenko, and P. Grangier, Nature (London) NATUAS 0028-0836 10.1038/35082512 411, 1024 (2001).
26. D. D. Yavuz, P. B. Kulatunga, E. Urban, T. A. Johnson, N. Proite, T. Henage, T. G. Walker, and M. Saffman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.063001 96, 063001 (2006).
27. S. M. Farooqi, D. Tong, S. Krishnan, J. Stanojevic, Y. P. Zhang, J. R. Ensher, A. S. Estrin, C. Boisseau, R. Cote, E. E. Eyler, and P. L. Gould, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.183002 91, 183002 (2003)
28. K. Afrousheh, P. Bohlouli-Zanjani, D. Vagale, A. Mugford, M. Fedorov, and J. D. D. Martin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93. 233001 93, 233001 (2004)
29. K. Singer, M. Reetz-Lamour, T. Amthor, L. G. Marcassa, and M. Weidemüller, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93. 163001 93, 163001 (2004)
30. T. Cubel Liebisch, A. Reinhard, P. R. Berman, and G. Raithel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.253002 95, 253002 (2005)
31. T. Cubel Liebisch, A. Reinhard, P. R. Berman, and G. Raithel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.109903 98, 109903 (E) (2007)
32. T. Vogt, M. Viteau, A. Chotia, J. Zhao, D. Comparat, and P. Pillet, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.073002 99, 073002 (2007)
33. R. Heidemann, U. Raitzsch, V. Bendkowsky, B. Butscher, R. Löw, L. Santos, and T. Pfau, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99. 163601 99, 163601 (2007).
34. T. A. Johnson, E. Urban, T. Henage, L. Isenhower, D. D. Yavuz, T. G. Walker, and M. Saffman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 100.113003 100, 113003 (2008).
35. T. F. Gallagher, Rydberg Atoms (Cambridge University Press, Cambridge, U.K., 1994).
36. M. T. Frey, S. B. Hill, K. A. Smith, F. B. Dunning, and I. I. Fabrikant, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.75.810 75, 810 (1995).
37. T. G. Walker and M. Saffman, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.77.032723 77, 032723 (2008).
38. Yu Ralchenko, A. E. Kramida, J. Reader, and NIST ASD Team, NIST Atomic Spectra Database (version 3.1.4), http://physics.nist.gov/asd3
39. W. Dankwort, J. Ferch, and H. Gebauer, Z. Phys. ZEPYAA 0044-3328 10.1007/BF01669225 267, 229 (1974).
40. B. Burghardt, S. Büttgenbach, N. Glaeser, R. Harzer, G. Meisel, B. Roski, and F. Träber, Z. Phys. A ZPAADB 0340-2193 10.1007/BF01438640 307, 193 (1982).
41. C. I. Hancox, S. C. Doret, M. T. Hummon, L. Luo, and J. M. Doyle, Nature (London) NATUAS 0028-0836 10.1038/nature02938 431, 281 (2004).
42. J. J. McClelland and J. L. Hanssen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.143005 96, 143005 (2006).
43. V. N. Gorshkov and V. A. Komarovskii, Opt. Spektrosk. OSFMA3 0030-4034 47, 631 (1979)
44. V. N. Gorshkov and V. A. Komarovskii, [Opt. Spectrosc. OPSUA3 0030-400X 47, 350 (1979)].
45. E. A. Den Hartog, L. M. Wiese, and J. E. Lawler, J. Opt. Soc. Am. B JOBPDE 0740-3224 10.1364/JOSAB.16.002278 16, 2278 (1999).
46. G. Nave, J. Opt. Soc. Am. B JOBPDE 0740-3224 10.1364/JOSAB.20.002193 20, 2193 (2003).
47. A. J. Berglund, S. A. Lee, and J. J. McClelland, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.053418 76, 053418 (2007).
48. Numerical calculations show that this works very well for, e.g., Rb and Cs atoms [M. Saffman (unpublished)].
49. E. F. Worden, R. W. Solarz, J. A. Paisner, and J. G. Conway, J. Opt. Soc. Am. B 68, 52 (1978). 0740-3224
50. D. Jaksch, C. Bruder, J. I. Cirac, C. W. Gardiner, and P. Zoller, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.3108 81, 3108 (1998).
51. M. Greiner, O. Mandel, T. Esslinger, T. W. Hänsch, and I. Bloch, Nature (London) NATUAS 0028-0836 10.1038/415039a 415, 39 (2002).
52. S. Peil, J. V. Porto, B. Laburthe Tolra, J. M. Obrecht, B. E. King, M. Subbotin, S. L. Rolston, and W. D. Phillips, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.051603 67, 051603 (R) (2003).
53. J. Vala, A. V. Thapliyal, S. Myrgren, U. Vazirani, D. S. Weiss, and K. B. Whaley, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.032324 71, 032324 (2005).
54. K. D. Nelson, X. Li, and D. S. Weiss, Nat. Phys. ZZZZZZ 1745-2473 3, 556 (2007).
55. M. Saffman and T. G. Walker, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.065403 66, 065403 (2002).
56. J. Sebby-Strabley, R. T. R. Newell, J. O. Day, E. Brekke, and T. G. Walker, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.021401 71, 021401 (R) (2005).
57. L. Isenhower and M. Saffman, Bull. Am. Phys. Soc. BAPSA6 0003-0503 52 (7) R1.00022 (2007)
58. E. Brion, L. H. Pedersen, K. Mølmer, S. Chutia, and M. Saffman, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.032328 75, 032328 (2007).