Charge-insensitive qubit design derived from the Cooper pair box

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 76, Issue 4, 2007, Pages

  Koch, Jens ^a   Yu, Terri M ^a   Gambetta, Jay ^a   Houck, A A ^a   Schuster, D I ^a   Majer, J ^a   Blais, Alexandre ^b   Devoret, M H ^a   Girvin, S M ^a   Schoelkopf, R J ^a  

^a YALE UNIVERSITY   (United States)

^b UNIVERSITÉ DE SHERBROOKE   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

ENERGY TRANSFER; OPTIMAL CONTROL SYSTEMS; PROBLEM SOLVING; SENSITIVITY ANALYSIS; SUPERCONDUCTING MATERIALS;

COOPER PAIR BOX; JOSEPHSON ENERGY; QUBIT-PHOTON COUPLING; SUPERCONDUCTING QUBIT;

QUANTUM COMPUTERS;

EID: 35248817921     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.76.042319     Document Type: Article

References (57)

1. N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.74.145 74, 145 (2002).
2. P. W. Shor, SIAM J. Comput. SMJCAT 0097-5397 10.1137/S0097539795293172 26, 1484 (1997).
3. D. Deutsch and R. Jozsa, Proc. R. Soc. London, Ser. A PRLAAZ 1364-5021 10.1098/rspa.1992.0167 439, 553 (1992).
4. L. K. Grover, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79. 325 79, 325 (1997).
5. Y. Makhlin, G. Schön, and A. Shnirman, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.73.357 73, 357 (2001).
6. M. H. Devoret and J. M. Martinis, in Quantum Entanglement and Information Processing (Les Houches Session LXXIX), edited by, J.-M. Raimond, J. Dalibard, and, D. Esteve, (Elsevier, New York, 2003), pp. 443-485;
7. M. H. Devoret, A. Wallraff, and J. M. Martinis, e-print arXiv:cond-mat/0411174.
8. J. Q. You and F. Nori, Phys. Today PHTOAD 0031-9228 58, 42 (2005).
9. V. Bouchiat, D. Vion, P. Joyez, D. Esteve, and M. H. Devoret, Phys. Scr., T PHSTER 0281-1847 10.1238/Physica.Topical.076a00165 T76, 165 (1998).
10. Y. Nakamura, Y. A. Pashkin, and J. S. Tsai, Nature (London) NATUAS 0028-0836 10.1038/19718 398, 786 (1999).
11. J. R. Friedman, V. Patel, W. Chen, S. K. Tolpygo, and J. E. Lukens, Nature (London) NATUAS 0028-0836 10.1038/35017505 406, 43 (2000).
12. C. H. van der Wal, A. C. J. ter Haar, F. K. Wilhelm, R. N. Schouten, C. J. P. M. Harmans, T. P. Orlando, S. Lloyd, and J. E. Mooij, Science SCIEAS 0036-8075 10.1126/science.290.5492.773 290, 773 (2000).
13. J. M. Martinis, S. Nam, J. Aumentado, and C. Urbina, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.117901 89, 117901 (2002).
14. J. M. Martinis, K. B. Cooper, R. McDermott, M. Steffen, M. Ansmann, K. D. Osborn, K. Cicak, S. Oh, D. P. Pappas, R. W. Simmonds, and C. C. Yu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.210503 95, 210503 (2005).
15. D. Vion, in Quantum Entanglement and Information Processing (Les Houches Session LXXIX), edited by, J.-M. Raimond, J. Dalibard, and, D. Esteve, (Elsevier, New York, 2003), pp. 443-485.
16. G. Ithier, E. Collin, P. Joyez, P. J. Meeson, D. Vion, D. Esteve, F. Chiarello, A. Shnirman, Y. Makhlin, J. Schriefl, and G. Schön, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72.134519 72, 134519 (2005).
17. A. Cottet, Ph.D. thesis, Universite Paris VI, 2002.
18. M. Steffen, M. Ansmann, R. McDermott, N. Katz, R. C. Bialczak, E. Lucero, M. Neeley, E. M. Weig, A. N. Cleland, and J. M. Martinis, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.050502 97, 050502 (2006).
19. J. Q. You, X. Hu, S. Ashhab, and F. Nori, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.75.140515 75, 140515 (R) (2007).
20. A. Blais, R.-S. Huang, A. Wallraff, S. M. Girvin, and R. J. Schoelkopf, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.062320 69, 062320 (2004).
21. M. H. Devoret, in Quantum Fluctuations (Les Houches Session LXIII), edited by, S. Reynaud, E. Giacobino, and, J. Zinn-Justin, (Elsevier, New York, 1997), pp. 351-386.
22. D. Vion, A. Aassime, A. Cottet, P. Joyez, H. Pothier, C. Urbina, D. Esteve, and M. H. Devoret, Science SCIEAS 0036-8075 10.1126/science.1069372 296, 886 (2002).
23. D. I. Schuster, A. A. Houck, J. A. Schreier, A. Wallraff, J. M. Gambetta, A. Blais, L. Frunzio, B. Johnson, M. H. Devoret, S. M. Girvin, and R. J. Schoelkopf, Nature (London) NATUAS 0028-0836 10.1038/nature05461 445, 515 (2007).
24. A. A. Houck, D. I. Schuster, J. M. Gambetta, J. A. Schreier, B. R. Johnson, J. M. Chow, J. Majer, L. Frunzio, M. H. Devoret, S. M. Girvin, and R. J. Schoelkopf, Nature (London) NATUAS 0028-0836 10.1038/nature06126 449, 328 (2007).
25. S. Goldstein, Proc. R. Soc. Edinburgh PRSEAE 0370-1646 49, 210 (1929).
26. G. Blanch, in Handbook of Mathematical Functions, edited by, M. Abramowitz, and, I. A. Stegun, (Dover, New York, 1972), Chap., Eq. (20.2.31).
27. J. N. L. Connor, T. Uzer, R. A. Marcus, and A. D. Smith, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.446581 80, 5095 (1984).
28. M. Tinkham, Introduction to Superconductivity (McGraw-Hill, New York, 1996), Chaps..
29. K. W. Lehnert, K. Bladh, L. F. Spietz, D. Gunnarsson, D. I. Schuster, P. Delsing, and R. J. Schoelkopf, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.027002 90, 027002 (2003);
30. T. Duty, D. Gunnarsson, K. Bladh, and P. Delsing, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.69.140503 69, 140503 (R) (2004).
31. R. J. Schoelkopf, A. A. Clerk, S. M. Girvin, K. W. Lehnert, and M. H. Devoret, Proc. SPIE PSISDG 0277-786X 10.1117/12.488922 5115, 356 (2003)
32. A. Widom, J. Low Temp. Phys. JLTPAC 0022-2291 10.1007/BF00683687 57, 651 (1984);
33. D. V. Averin, A. B. Zorin, and K. K. Likharev, Sov. Phys. JETP SPHJAR 0038-5646 61, 407 (1985);
34. T. Duty, G. Johansson, K. Bladh, D. Gunnarsson, C. Wilson, and P. Delsing, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.206807 95, 206807 (2005).
35. We note that this perturbation expansion in fact has a zero convergence radius. However, it has been shown that reasonable approximations can be obtained from the truncated series, see, e.g., W. Janke and H. Kleinert, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.75.2787 75, 2787 (1995).
36. A. Wallraff, D. I. Schuster, A. Blais, L. Frunzio, R.-S. Huang, J. Majer, S. Kumar, S. M. Girvin, and R. J. Schoelkopf, Nature (London) NATUAS 0028-0836 10.1038/nature02851 431, 162 (2004).
37. R. Fazio, G. M. Palma, and J. Siewert, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.5385 83, 5385 (1999).
38. M. Steffen, J. M. Martinis, and I. L. Chuang, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.224518 68, 224518 (2003).
39. W. H. Louisell, Phys. Lett. PHLTAM 0031-9163 10.1016/0031-9163(63)90442-6 7, 60 (1963);
40. C. C. Gerry and P. L. Knight, Introductory Quantum Optics (Cambridge University Press, Cambridge, 2005), Chap..
41. J. Gambetta, A. Blais, D. I. Schuster, A. Wallraff, L. Frunzio, J. Majer, M. H. Devoret, S. M. Girvin, and R. J. Schoelkopf, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.042318 74, 042318 (2006).
42. J. D. Jackson, Classical Electrodynamics, 3rd ed. (Wiley, New York, 1998).
43. E. M. Purcell, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.69.37 69, 681 (1946).
44. P. Goy, J. M. Raimond, M. Gross, and S. Haroche, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.50.1903 50, 1903 (1983).
45. R. Lutchyn, L. Glazman, and A. Larkin, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72.014517 72, 014517 (2005).
46. R. M. Lutchyn, L. I. Glazman, and A. I. Larkin, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.74.064515 74, 064515 (2006).
47. L. B. Ioffe, V. B. Geshkenbein, C. Helm, and G. Blatter, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.057001 93, 057001 (2004).
48. D. H. Hurley and K. L. Telschow, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.66.153301 66, 153301 (2002).
49. Y. Makhlin and A. Shnirman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.178301 92, 178301 (2004).
50. A. Cottet, A. Steinbach, P. Joyez, D. Vion, H. Pothier, D. Esteve, and M. E. Huber, in Macroscopic Quantum Coherence and Quantum Computing, edited by, D. V. Averin, B. Ruggiero, and, P. Silvestrini, (Kluwer/Plenum, New York, 2001).
51. A. A. Houck (unpublished).
52. A. B. Zorin, F.-J. Ahlers, J. Niemeyer, T. Weimann, H. Wolf, V. A. Krupenin, and S. V. Lotkhov, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.53. 13682 53, 13682 (1996).
53. F. C. Wellstood, C. Urbina, and J. Clarke, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.98041 50, 772 (1987).
54. D. J. Van Harlingen, T. L. Robertson, B. L. T. Plourde, P. A. Reichardt, T. A. Crane, and J. Clarke, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70. 064517 70, 064517 (2004).
55. F. Yoshihara, K. Harrabi, A. O. Niskanen, Y. Nakamura, and J. S. Tsai, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.167001 97, 167001 (2006).
56. D. P. DiVincenzo, Fortschr. Phys. FPYKA6 0015-8208 10.1002/1521- 3978(200009)48:9/11<771::AID-PROP771>3.0.CO;2-E 48, 771 (2000).
57. J. Meixner, F. W. Schäfke, and G. Wolf, Mathieu Functions and Spheroidal Functions and Their Mathematical Foundations (Springer, New York, 1980).