Robustness of decoherence-free subspaces for quantum computation

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 60, Issue 3, 1999, Pages 1944-1955

  Bacon, D ^a   Lidar, D A ^a   Whaley, K B ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001271218     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.60.1944     Document Type: Article

References (45)

1. A.M. Steane, Rep. Prog. Phys. 61, 117 (1998)
2. A.M. SteaneLANL e-print quant-ph/9708022.
3. W.G. Unruh, Phys. Rev. A 51, 992 (1995).
4. S. Haroche and J.M. Raimond, Phys. Today 49 (8), 51 (1996).
5. R. Landauer, Phys. Lett. A 217, 188 (1996).
6. C.H. Bennett and P.W. Shor, IEEE Trans. Inf. Theory 44, 2724 (1998).
7. L.-M Duan and G.-C. Guo, Phys. Rev. A 57, 737 (1998).
8. P. Zanardi and M. Rasetti, Mod. Phys. Lett. B 11, 1085 (1997)
9. P. ZanardiM. RasettiLANL e-print quant-ph/9710041.
10. P. Zanardi and M. Rasetti, Phys. Rev. Lett. 79, 3306 (1997)
11. P. ZanardiM. RasettiLANL e-print quant-ph/9705044.
12. P. Zanardi, Phys. Rev. A 57, 3276 (1998)
13. P. ZanardiLANL e-print quant-ph/9705045.
14. D.A. Lidar, I.L. Chuang and K.B. Whaley, Phys. Rev. Lett. 81, 2594 (1998)
15. D.A. LidarI.L. ChuangK.B. WhaleyLANL e-print quant-ph/9807004.
16. D.A. Lidar, D.A. Bacon and K.B. Whaley, LANL e-print quant-ph/9809081.
17. K. Kraus, States, Effects and Operations Fundamental Notions of Quantum Theory (Academic, Berlin, 1983).
18. A.J. van Wonderen and K. Lendi, J. Stat. Phys. 80, 273 (1995).
19. G. Lindblad, Commun. Math. Phys. 48, 119 (1976).
20. R. W. Zwanzig, Statistical Mechanics of Irreversibility, Vol. 3 of Lectures in Theoretical Physics (Interscience, New York, 1961), p. 106.
21. R.L.E. Knill and W. Zurek, Science 279, 342 (1998).
22. D. Aharonov and M. Ben-Or, in Proceedings of 29th Annual ACM Symposium on Theory of Computing (STOC) (ACM, New York, 1997), p. 46;
23. LANL e-print.
24. P. Zanardi, LANL e-print quant-ph/9901047.
25. B. Schumacher, Phys. Rev. A 54, 2614 (1996).
26. R. Alicki and K. Lendi, Quantum Dynamical Semigroups and Applications, Lecture Notes in Physics Vol. 286 (Springer-Verlag, Berlin, 1987).
27. I.L. Chuang and M.A. Nielsen, J. Mod. Opt. 44, 2455 (1997).
28. P. Pechukas, Phys. Rev. Lett. 73, 1060 (1994).
29. E.B. Davies, Commun. Math. Phys. 39, 91 (1974).
30. E.B. Davies, Math. Ann. 219, 147 (1976).
31. P. Beck and K. Lendi, Phys. Rev. A 47, 346 (1993).
32. R. Jozsa, J. Mod. Opt. 41, 2315 (1994).
33. C.H. Bennett, D.P. DiVincenzo, J.A. Smolin, and W.K. Wootters, Phys. Rev. A 54, 3824 (1996).
34. L.-M. Duan and G.-C. Guo, Phys. Rev. A 56, 4466 (1997)
35. L.-M. DuanG.-C. GuoLANL e-print quant-ph/9706020.
36. D. Vitali and P. Tombesi, LANL e-print quant-ph/9802033.
37. P. Zanardi and F. Rossi, LANL e-print quant-ph/9804016.
38. The vanishing of the first-order decoherence time is well known in the exact Hamiltonian framework: J.I. Kim, M.C. Nemes, A.F.D. de Toledo Piza, and H.E. Borges, Phys. Rev. Lett. 77, 207 (1996). However, our calculation of this effect in the OSR seems to be new, as well as the observation that this is related to the finiteness of the system part of the system-bath interaction.
39. I.L. Chuang and Y. Yamamoto, Phys. Rev. A 55, 114 (1997)
40. I.L. ChuangY. YamamotoLANL e-print quant-ph/9704030.
41. E. Knill and R. Laflamme, Phys. Rev. A 55, 900 (1997).
42. R. Silbey and R.A. Harris, J. Phys. Chem. 93, 7062 (1989).
43. R. Kosloff, M.A. Ratner, and W.B. Davis, J. Chem. Phys. 106, 7036 (1997).
44. An interesting example of this general first-order stability is provided by the recently analyzed situation of environmentally induced superselection of energy eigenstates for a Brownian particle interacting with an adiabatically slow bath of harmonic oscillators 37.
45. J.P. Paz, and W.H. Zurek, LANL e-print, quant-ph/9811026.