Decoherence in adiabatic quantum computation

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 79, Issue 2, 2009, Pages

  Amin, M H S ^a   Averin, Dmitri V ^b   Nesteroff, James A ^b  

^a D WAVE SYSTEMS INC   (Canada)

^b STONY BROOK UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL LINGUISTICS; QUANTUM COMPUTERS;

ADIABATIC QUANTUM COMPUTATIONS; ANTI CROSSINGS; COMPUTATION TIME; DECOHERENCE; DECOHERENCE PROPERTIES; LANDAU-ZENER TRANSITIONS; LOW FREQUENCIES; LOWEST-ENERGY LEVELS; NON-MARKOVIAN; PHASE COHERENCES; PROBLEM SIZES;

QUANTUM THEORY;

EID: 61549125360     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.79.022107     Document Type: Article

References (23)

1. E. Farhi, J. Goldstone, S. Gutmann, J. Lapan, A. Lundgren, and D. Preda, Science 292, 472 (2001). 10.1126/science.1057726
2. A. Mizel, M. W. Mitchell, and M. L. Cohen, Phys. Rev. A 63, 040302 (R) (2001). 10.1103/PhysRevA.63.040302
3. M. H. S. Amin, C. J. S. Truncik, and D. V. Averin, e-print arXiv:0803.1196.
4. See, e.g., D. A. Lidar, A. T. Rezakhani, and A. Hamma, e-print arXiv:0808.2697, and references therein.
5. M. H. S. Amin, e-print arXiv:0810.4335.
6. M. S. Sarandy and D. A. Lidar, Phys. Rev. Lett. 95, 250503 (2005). 10.1103/PhysRevLett.95.250503
7. A. M. Childs, E. Farhi, and J. Preskill, Phys. Rev. A 65, 012322 (2001). 10.1103/PhysRevA.65.012322
8. J. Aberg, D. Kult, and E. Sjöqvist, Phys. Rev. A 71, 060312 (R) (2005). 10.1103/PhysRevA.71.060312
9. M. H. S. Amin, P. J. Love, and C. J. S. Truncik, Phys. Rev. Lett. 100, 060503 (2008). 10.1103/PhysRevLett.100.060503
10. M. Tiersch and R. Schützhold, Phys. Rev. A 75, 062313 (2007). 10.1103/PhysRevA.75.062313
11. 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 72, 134519 (2005). 10.1103/PhysRevB.72.134519
12. 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. 95, 210503 (2005). 10.1103/PhysRevLett.95.210503
13. R. Harris, M. W. Johnson, S. Han, A. J. Berkley, J. Johansson, P. Bunyk, E. Ladizinsky, S. Govorkov, M. C. Thom, S. Uchaikin, B. Bumble, A. Fung, A. Kaul, A. Kleinsasser, M. H. S. Amin, and D. V. Averin, Phys. Rev. Lett. 101, 117003 (2008). 10.1103/PhysRevLett.101.117003
14. J. Roland and N. J. Cerf, Phys. Rev. A 65, 042308 (2002). 10.1103/PhysRevA.65.042308
15. S. Ashhab, J. R. Johansson, and F. Nori, Phys. Rev. A 74, 052330 (2006). 10.1103/PhysRevA.74.052330
16. Two-state approximation is in general valid for the minimum gaps that result from first-order quantum phase transitions. For the second-order quantum phase transitions, other methods become necessary. See, e.g., S. Mostame, G. Schaller, and R. Schützhold, Phys. Rev. A 76, 030304 (R) (2007). 10.1103/PhysRevA.76.030304
17. 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
18. M. H. S. Amin and D. V. Averin, Phys. Rev. Lett. 100, 197001 (2008). 10.1103/PhysRevLett.100.197001
19. M. Wubs, K. Saito, S. Kohler, P. Hänggi, and Y. Kayanuma, Phys. Rev. Lett. 97, 200404 (2006). 10.1103/PhysRevLett.97.200404
20. A. T. S. Wan, M. H. S. Amin, and S. X. Wang, e-print arXiv:cond-mat/ 0703085.
21. K. Saito, M. Wubs, S. Kohler, Y. Kayanuma, and P. Hänggi, Phys. Rev. B 75, 214308 (2007). 10.1103/PhysRevB.75.214308
22. E. Farhi, J. Goldstone, S. Gutmann, and D. Nagaj, Int. J. Quantum Inf. 6, 503 (2008). 10.1142/S021974990800358X
23. L. M. Ioannou and M. Mosca, Int. J. Quantum Inf. 6, 419 (2008). 10.1142/S0219749908003724