Models of short-time qubit decoherence

Proceedings of SPIE - The International Society for Optical Engineering

Volumn 5436, Issue , 2004, Pages 172-186

  Solenov, Dmitry ^a   Privman, Vladimir ^a  

^a CLARKSON UNIVERSITY   (United States)

Author keywords

Decoherence; Environment; Quantum computing; Qubit; Relaxation; Spin; Thermalization

Indexed keywords

APPROXIMATION THEORY; DEGREES OF FREEDOM (MECHANICS); MATHEMATICAL MODELS; MATRIX ALGEBRA;

QUANTUM COMPUTING; QUANTUM SYSTEMS (QUBITS); QUBIT DECOHERENCE; THERMALIZATION;

QUANTUM THEORY;

EID: 10444263833     PISSN: 0277786X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1117/12.541458     Document Type: Conference Paper

References (47)

1. R. Hanson, B. Witkamp, L. M. K. Vandersypen, L. H. Willems van Beveren, J. M. Elzerman and L. P. Kouwenhoven, Phys. Rev. Lett. 91, 196802 (2003).
2. D. Loss and D. P. DiVincenzo, Phys. Rev. A 57, 120 (1998).
3. V. Privman, I. D. Vagner and G. Kventsel, Phys. Lett. A 239, 141 (1998); B. E. Kane, Nature 393, 133 (1998); I. Shlimak, HAIT J. Sci. Eng. 1, 196 (2004).
4. V. Privman, I. D. Vagner and G. Kventsel, Phys. Lett. A 239, 141 (1998); B. E. Kane, Nature 393, 133 (1998); I. Shlimak, HAIT J. Sci. Eng. 1, 196 (2004).
5. V. Privman, I. D. Vagner and G. Kventsel, Phys. Lett. A 239, 141 (1998); B. E. Kane, Nature 393, 133 (1998); I. Shlimak, HAIT J. Sci. Eng. 1, 196 (2004).
6. Y. Makhlin, G. Schon and A. Shnirman, Rev. Mod Phys. 73, 357 (2001).
7. Y. A. Pashkin, T. Yamamoto, O. Astafiev, Y. Nakamura, D.V. Averin and J. S. Tsai, Nature 421, 823 (2003).
8. I. Chiorescu, Y. Nakamura, C. J. P. M. Harmans and J. E. Mooij, Science 299, 1869 (2003).
9. D. Vion, A. Aassime, A. Cottet, P. Joyez, H. Pothier, C. Urbina, D. Esteve and M. H. Devoret, Science 296, 886 (2002).
10. L. Fedichkin, M. Yanchenko and K. A. Valiev, Nonotechnology 11, 392 (2000); S. D. Barrett and G. J. Milburn, Measuring the decoherence rate in a semiconductor charge qubit, e-print cond-mat/0302238 at www.arxiv.org; T. Hayashi, T. Fujisava, H. D. Cheong, Y. H. Jeong and Y. Hirayama, Coherent manipulation of electronic states in a double quantum dot, e-print cond-mat/0308362 at www.arxiv.org.
11. L. Fedichkin, M. Yanchenko and K. A. Valiev, Nonotechnology 11, 392 (2000); S. D. Barrett and G. J. Milburn, Measuring the decoherence rate in a semiconductor charge qubit, e-print cond-mat/0302238 at www.arxiv.org; T. Hayashi, T. Fujisava, H. D. Cheong, Y. H. Jeong and Y. Hirayama, Coherent manipulation of electronic states in a double quantum dot, e-print cond-mat/0308362 at www.arxiv.org.
12. L. Fedichkin, M. Yanchenko and K. A. Valiev, Nonotechnology 11, 392 (2000); S. D. Barrett and G. J. Milburn, Measuring the decoherence rate in a semiconductor charge qubit, e-print cond-mat/0302238 at www.arxiv.org; T. Hayashi, T. Fujisava, H. D. Cheong, Y. H. Jeong and Y. Hirayama, Coherent manipulation of electronic states in a double quantum dot, e-print cond-mat/0308362 at www.arxiv.org.
13. V. Privman, D. Mozyrsky and I. D. Vagner, Computer Phys. Commun. 146, 331 (2002); P. D. DiVincenzo and D. Loss, J. Magn. Magnet. Mater. 200, 202 (1999).
14. V. Privman, D. Mozyrsky and I. D. Vagner, Computer Phys. Commun. 146, 331 (2002); P. D. DiVincenzo and D. Loss, J. Magn. Magnet. Mater. 200, 202 (1999).
15. W. H. Louiseil, Quantum Statistical Properties of Radiation (Wiley, NY, 1973).
16. K. Blum, Density Matrix Theory and Applications (Plenum Press, NY, 1996).
17. N. G. van Kampen, Stochastic Processes in Physics and Chemistry (North-Holland, Amsterdam, 2001).
18. V. Privman, Mod. Phys. Lett. B 16, 459 (2002); V. Privman, Proc. SPIE 5115, 345 (2003).
19. V. Privman, Mod. Phys. Lett. B 16, 459 (2002); V. Privman, Proc. SPIE 5115, 345 (2003).
20. J. I. Kim, M. C. Nemes, A. F. R. de Toledo Piza and H. E. Borges, Phvs. Rev. Lett. 77, 207 (1996).
21. D. Mozyrsky and V. Privman, J. Stat. Phys. 91, 787 (1998).
22. D. Loss and D. P. DiVincenzo, Exact Born approximation for the spin-boson model, e-print cond-mat/0304118 at www.arxiv.org.
23. A. T. Sornborger and E. D. Stewart, Phys. Rev. A 60, 1956 (1999).
24. H. Garbert, P. Schramm and G.-L. Ingold, Phys. Rep. 168, 115 (1998).
25. N. G. van Kampen, J. Stat. Phys. 78, 299 (1995).
26. R. P. Feynman and A. R. Hibbs, Quantum Mechanics and Path Integrals (McGraw-Hill, NY, 1965).
27. G. W. Ford, M. Kac and P. Mazur, J. Math. Phys. 6, 504 (1965).
28. A. O. Caldeira and A. J. Leggett, Phys. Rev. Lett. 46, 211 (1981).
29. A. O. Caldeira and A. J. Leggett, Physica A 121, 587 (1983).
30. S. Chakravarty and A. J. Leggett, Phys. Rev. Lett. 52, 5 (1984).
31. A. J. Leggett, S. Chakravarty, A. T. Dorsey, M. P. A. Fisher and W. Zwerger, Rev. Mod. Phys. 59, 1 (1987) [Erratum: 67, 725 (1995)].
32. A. O. Caldeira and A. J. Leggett, Phys. Rev. Lett. 46, 211 (1981); A. O. Caldeira and A. J. Leggett, Ann. Phys. 149, 374 (1983).
33. A. O. Caldeira and A. J. Leggett, Phys. Rev. Lett. 46, 211 (1981); A. O. Caldeira and A. J. Leggett, Ann. Phys. 149, 374 (1983).
34. L. Fedichkin, A. Fedorov and V. Privman, Proc. SPIE 5105, 243 (2003); L. Fedichkin, A. Fedorov and V. Privman, Additivity of decoherence measures for multiqubit quantum systems, e-print cond-mat/0309685 at www.arxiv.org.
35. L. Fedichkin, A. Fedorov and V. Privman, Proc. SPIE 5105, 243 (2003); L. Fedichkin, A. Fedorov and V. Privman, Additivity of decoherence measures for multiqubit quantum systems, e-print cond-mat/0309685 at www.arxiv.org.
36. V. Privman, J. Stat. Phys. 110, 957 (2003).
37. J. von Neumann, Mathematical Foundations of Quantum Mechanics (Princeton University Press, 1983).
38. B. J. Dalton, J. Mod. Opt. 50, 951 (2003).
39. L.-M. Duan and G.-C. Guo, Phys. Rev. A 56, 4466 (1997).
40. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, 2002).
41. V. F. Los, J. Phys. A 34, 6389 (2001).
42. th Ann. Symp. Found. Comp. Sci. (IEEE Comp. Sci. Soc. Press, Los Alamitos, CA, 1996), 56.
43. D. Aharonov and M. Ben-Or, Fault-tolerant quantum computation with constant error, e-prints quant-ph/9611025 and quant-ph/9906129 at www.arxiv.org.
44. A. Steane, Phys. Rev. Lett. 78, 2252 (1997).
45. E. Knill and R. Laflamme, Phys. Rev. A 55, 900 (1997).
46. D. Gottesman, Phys. Rev. A 57, 127 (1998).
47. J. Preskill, Proc. Royal Soc. London A 454, 385 (1998).