Adiabatic theorem in the presence of noise

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 77, Issue 4, 2008, Pages

  O'Hara, Michael J ^a   O'Leary, Dianne P ^b,c  

^a UNIVERSITY OF MARYLAND   (United States)

^b University of Maryland ^*  (United States)

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

Author keywords

[No Author keywords available]

Indexed keywords

ERROR ANALYSIS; HAMILTONIANS; PERTURBATION TECHNIQUES; QUANTUM CHEMISTRY; QUANTUM THEORY; THEOREM PROVING;

ADIABATIC APPROXIMATION; ADIABATIC THEOREM; DECOHERENT PERTURBATIONS; TIME DEPENDENT PERTURBATIONS;

SPURIOUS SIGNAL NOISE;

EID: 42449085807     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.77.042319     Document Type: Article

References (36)

1. E. Farhi, J. Goldstone, S. Gutmann, J. Lapan, A. Lundgren, and D. Preda, Science SCIEAS 0036-8075 10.1126/science.1057726 292, 472 (2001).
2. D. Aharonov, W. van Dam, J. Kempe, Z. Landau, S. Lloyd, and O. Regev, SIAM J. Comput. SMJCAT 0097-5397 10.1137/S0097539705447323 37, 166 (2007).
3. A. M. Childs, E. Farhi, and J. Preskill, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.012322 65, 012322 (2002).
4. F. Gaitan, Int. J. Quantum Inf. ZZZZZZ 0219-7499 4, 843 (2006).
5. K.-P. Marzlin and B. C. Sanders, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.160408 93, 160408 (2004).
6. D. M. Tong, K. Singh, L. C. Kwek, and C. H. Oh, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.110407 95, 110407 (2005).
7. T. Vértesi and R. Engleman, Phys. Lett. A PYLAAG 0375-9601 10.1016/j.physleta.2005.12.052 353, 11 (2006).
8. J. Roland and N. J. Cerf, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.032330 71, 032330 (2005).
9. M. S. Sarandy and D. A. Lidar, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.012331 71, 012331 (2005).
10. P. Thunström, J. Aberg, and E. Sjöqvist, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.022328 72, 022328 (2005).
11. X. X. Yi, D. M. Tong, L. C. Kwek, and C. H. Oh, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/40/2/004 40, 281 (2007).
12. A. Fleischer and N. Moiseyev, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.032103 72, 032103 (2005).
13. M. Tiersch and R. Schützhold, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.062313 75, 062313 (2007).
14. J. Aberg, D. Kult, and E. Sjöqvist, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.060312 71, 060312 (2005).
15. J. Aberg, D. Kult, and E. Sjöqvist, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.042317 72, 042317 (2005).
16. J. E. Avron, R. Seiler, and L. G. Yaffe, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/BF01209015 110, 33 (1987).
17. Y. S. Weinstein, T. F. Havel, J. Emerson, N. Boulant, M. Saraceno, S. Lloyd, and D. G. Cory, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1785151 121, 6117 (2004).
18. M. Bozic, R. Lombard, and Z. Maric, Z. Phys. D 18, 311 (1991). 0178-7683
19. Z. Wu and H. Yang, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72. 012114 72, 012114 (2005).
20. R. MacKenzie, A. Morin-Duchesne, H. Paquette, and J. Pinel, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.044102 76, 044102 (2007).
21. T. P. Orlando, J. E. Mooij, L. Tian, C. H. van der Wal, L. Levitov, S. Lloyd, and J. J. Mazo, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.60.15398 60, 15398 (1999).
22. W. M. Kaminsky, S. Lloyd, and T. P. Orlando, e-print arXiv:quant-ph/ 0403090.
23. B. W. Reichardt, in Proceedings of the 36th Annual ACM Symposium on Theory of Computing, edited by, Lásló Babai, (ACM, Chicago, IL, 2004), pp. 502-510.
24. J. E. Avron, R. Seiler, and L. G. Yaffe, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/BF02096867 156, 649 (1993).
25. M. Klein and R. Seiler, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/BF02097050 128, 141 (1990).
26. S. Jansen, M. B. Ruskai, and R. Seiler, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.2798382 48, 102111 (2007).
27. A. Joye and C.-E. Pfister, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/24/4/012 24, 753 (1991).
28. G. A. Hagedorn and A. Joye, J. Math. Anal. Appl. JMANAK 0022-247X 10.1006/jmaa.2001.7765 267, 235 (2002).
29. D. M. Tong, K. Singh, L. C. Kwek, and C. H. Oh, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.150402 98, 150402 (2007).
30. A. Ambainis and O. Regev, e-print arXiv:quant-ph/0411152.
31. G. W. Stewart and J. Sun, Matrix Perturbation Theory (Academic Press, Boston, MA, 1990).
32. M. S. Sarandy and D. A. Lidar, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.250503 95, 250503 (2005).
33. M. S. Sarandy and D. A. Lidar, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.062101 73, 062101 (2006).
34. F. C. Wellstood, C. Urbina, and J. Clarke, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.1826236 85, 5296 (2004).
35. L. Faoro and L. Viola, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.117905 92, 117905 (2004).
36. J. Sakurai, Modern Quantum Mechanics (Addison-Wesley, Reading, MA, 1994).