Effect of an Ohmic environment on an optimally controlled flux-biased phase qubit

Physical Review B - Condensed Matter and Materials Physics

Volumn 82, Issue 14, 2010, Pages

  Poudel, Amrit ^a   Vavilov, Maxim G ^a  

^a University of Wisconsin Madison   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 78049466188     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.82.144528     Document Type: Article

References (27)

1. D. Vion, A. Aassime, A. Cottet, P. Joyez, H. Pothier, C. Urbina, D. Esteve, and M. H. Devoret, Science 296, 886 (2002). 10.1126/science.1069372
2. M. H. Devoret and J. M. Martinis, Quantum Inf. Process. 3, 163 (2004). 10.1007/s11128-004-3101-5
3. J. Clarke and F. K. Wilhelm, Nature (London) 453, 1031 (2008). 10.1038/nature07128
4. J. M. Martinis, S. Nam, J. Aumentado, and C. Urbina, Phys. Rev. Lett. 89, 117901 (2002). 10.1103/PhysRevLett.89.117901
5. I. Chiorescu, Y. Nakamura, C. J. P. M. Harmans, and J. E. Mooij, Science 299, 1869 (2003). 10.1126/science.1081045
6. M. Steffen, J. M. Martinis, and I. L. Chuang, Phys. Rev. B 68, 224518 (2003). 10.1103/PhysRevB.68.224518
7. F. Motzoi, J. M. Gambetta, P. Rebentrost, and F. K. Wilhelm, Phys. Rev. Lett. 103, 110501 (2009). 10.1103/PhysRevLett.103.110501
8. E. Knill, Nature (London) 434, 39 (2005). 10.1038/nature03350
9. P. Rebentrost, I. Serban, T. Schulte-Herbrüggen, and F. K. Wilhelm, Phys. Rev. Lett. 102, 090401 (2009). 10.1103/PhysRevLett.102.090401
10. P. Rebentrost and F. K. Wilhelm, Phys. Rev. B 79, 060507 (2009). 10.1103/PhysRevB.79.060507
11. G. Lindblad, Commun. Math. Phys. 48, 119 (1976). 10.1007/BF01608499
12. A. O. Caldeira and A. J. Leggett, Ann. Phys. (N.Y.) 149, 374 (1983). 10.1016/0003-4916(83)90202-6
13. A. J. Leggett, S. Chakravarty, A. T. Dorsey, M. P. A. Fisher, A. Garg, and W. Zwerger, Rev. Mod. Phys. 59, 1 (1987). 10.1103/RevModPhys.59.1
14. D. J. Van Harlingen, T. L. Robertson, B. L. T. Plourde, P. A. Reichardt, T. A. Crane, and J. Clarke, Phys. Rev. B 70, 064517 (2004). 10.1103/PhysRevB.70. 064517
15. R. W. Simmonds, K. M. Lang, D. A. Hite, S. Nam, D. P. Pappas, and J. M. Martinis, Phys. Rev. Lett. 93, 077003 (2004). 10.1103/PhysRevLett.93.077003
16. J. Claudon, A. Fay, L. P. Lévy, and O. Buisson, Phys. Rev. B 73, 180502 (2006). 10.1103/PhysRevB.73.180502
17. R. C. Bialczak, Phys. Rev. Lett. 99, 187006 (2007). 10.1103/PhysRevLett. 99.187006
18. J. M. Martinis, Phys. Rev. Lett. 95, 210503 (2005). 10.1103/PhysRevLett. 95.210503
19. J. M. Martinis, Quantum Inf. Process. 8, 81 (2009). 10.1007/s11128-009- 0105-1
20. J. P. Paz and W. H. Zurek, Lecture Notes in Physics 587, 77 (2002). 10.1007/3-540-45933-2-4
21. U. Weiss, Quantum Dissipative Systems, 2nd ed. (World Scientific, Singapore, 1999).
22. R. McDermott, R. W. Simmonds, M. Steffen, K. B. Cooper, K. Cicak, K. D. Osborn, S. Oh, D. P. Pappas, and J. M. Martinis, Science 307, 1299 (2005). 10.1126/science.1107572
23. J. Lisenfeld, A. Lukashenko, M. Ansmann, J. M. Martinis, and A. V. Ustinov, Phys. Rev. Lett. 99, 170504 (2007). 10.1103/PhysRevLett.99.170504
24. The levels in the deep well can also be accounted in the present model, however, our numerical results indicate that the gate error does not change significantly if those levels are also included in the calculation for chosen values of parameters.
25. M. D. Bowdrey, D. K. L. Oi, A. J. Short, K. Banaszek, and J. A. Jones, Phys. Lett. A 294, 258 (2002). 10.1016/S0375-9601(02)00069-5
26. We also made constant detuning of the driving frequency from ω 0 but did not see any improvement compared to ω d = ω 0 case.
27. J. Chow, L. DiCarlo, J. Gambetta, F. Motzoi, L. Frunzio, S. Girvin, and R. Schoelkopf, arXiv:1005.1279 (unpublished).