Retrieving qubit information despite decoherence

Physical Review B - Condensed Matter and Materials Physics

Volumn 82, Issue 24, 2010, Pages

  Aharony, Amnon ^a,b   Gurvitz, Shmuel ^b   Entin Wohlman, Ora ^a,b   Dattagupta, Sushanta ^c  

^a BEN GURION UNIVERSITY OF THE NEGEV   (Israel)

^b WEIZMANN INSTITUTE OF SCIENCE   (Israel)

^c INDIAN INSTITUTE OF SCIENCE EDUCATION AND RESEARCH KOLKATA   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 78651299817     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.82.245417     Document Type: Article

References (41)

1. C. Bennett, Phys. Today 48 (10), 24 (1995) 10.1063/1.881452
2. D. P. DiVincenzo, Science 270, 255 (1995) 10.1126/science.270.5234.255
3. A. M. Steane, Rep. Prog. Phys. 61, 117 (1998). 10.1088/0034-4885/61/2/002
4. D. Loss and D. P. DiVincenzo, Phys. Rev. A 57, 120 (1998) 10.1103/PhysRevA.57.120
5. T. Tanamoto, Phys. Rev. A 61, 022305 (2000). 10.1103/PhysRevA.61.022305
6. J. Q. You, X. Hu, and F. Nori, Phys. Rev. B 72, 144529 (2005). 10.1103/PhysRevB.72.144529
7. C. P. Slichter, Principles of Magnetic Resonance (Harper and Row, New York, 1963).
8. A. Abragam, Principles of Nuclear Magnetism (Oxford University Press, New York, 1961).
9. L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms (Dover, New York, 1987).
10. Y. Nakamura, Yu. A. Pashkin, and J. S. Tsai, Nature (London) 398, 786 (1999). 10.1038/19718
11. W. H. Zurek, Phys. Today 44 (10), 36 (1991). 10.1063/1.881293
12. D. A. Lidar, I. L. Chuang, and K. B. Whaley, Phys. Rev. Lett. 81, 2594 (1998). 10.1103/PhysRevLett.81.2594
13. P. Zanardi and M. Rasetti, Phys. Rev. Lett. 79, 3306 (1997). 10.1103/PhysRevLett.79.3306
14. See, for instance, S. Dattagupta, Relaxation Phenomena in Condensed Matter Physics (Academic Press, Orlando, 1987).
15. T. Itakura and Y. Tokura, Phys. Rev. B 67, 195320 (2003). 10.1103/PhysRevB.67.195320
16. J. Bergli, Y. M. Galperin, and B. L. Altshuler, New J. Phys. 11, 025002 (2009) 10.1088/1367-2630/11/2/025002
17. B. Cheng, Q. H. Wang, and R. Joynt, Phys. Rev. A 78, 022313 (2008) 10.1103/PhysRevA.78.022313, and references therein.
18. S. A. Gurvitz and D. Mozyrsky, Phys. Rev. B 77, 075325 (2008). 10.1103/PhysRevB.77.075325
19. See also S. A. Gurvitz, D. Mozyrsky, and G. P. Berman, Phys. Rev. B 72, 205341 (2005) 10.1103/PhysRevB.72.205341
20. S. A. Gurvitz and Ya. S. Prager, Phys. Rev. B 53, 15932 (1996) 10.1103/PhysRevB.53.15932
21. S. A. Gurvitz, Phys. Rev. B 57, 6602 (1998). 10.1103/PhysRevB.57.6602
22. D. Mozyrsky and V. Privman, J. Stat. Phys. 91, 787 (1998) 10.1023/A:1023042014131
23. G. Gangopadhyay, M. Sanjay Kumar, and S. Dattagupta, J. Phys. A 34, 5485 (2001) 10.1088/0305-4470/34/27/302
24. For other approaches, see, e.g., B. Abel and F. Marquardt, Phys. Rev. B 78, 201302 (2008) 10.1103/PhysRevB.78.201302
25. I. V. Yurkevich, J. Baldwin, I. V. Lerner, and B. L. Altshuler, Phys. Rev. B 81, 121305 (2010). 10.1103/PhysRevB.81.121305
26. However, coupling the phase of the hopping amplitudes to a spin bath generates a slower decay, as a power of the time; see, e.g., Z. Zhu, A. Aharony, O. Entin-Wohlman, and P. C. E. Stamp, Phys. Rev. A 81, 062127 (2010) 10.1103/PhysRevA.81.062127
27. D. Sokolovski and S. A. Gurvitz, Phys. Rev. A 79, 032106 (2009). 10.1103/PhysRevA.79.032106
28. Y. Imry, Introduction to Mesoscopic Physics, 2nd ed. (Oxford University Press, Oxford, 2002).
29. Interestingly, the nonlinear effects of an ac electromagnetic field on a metallic ring include a steady-state circulating current, which is also odd in the magnetic flux, see A. G. Aronov and V. E. Kravtsov, Phys. Rev. B 47, 13409 (1993) 10.1103/PhysRevB.47.13409
30. V. I. Yudson and V. E. Kravtsov, Phys. Rev. B 67, 155310 (2003). 10.1103/PhysRevB.67.155310
31. R. Kubo, in Fluctuation, Relaxation and Resonance in Magnetic Systems, edited by, D. ter Haar, (Oliver and Boyd, Edinburg, 1962)
32. R. Kubo, Adv. Chem. Phys. also in 15, 101 (1969). 10.1002/9780470143605. ch6
33. M. Blume, Phys. Rev. 174, 351 (1968). 10.1103/PhysRev.174.351
34. See Chap. VIII of Ref..
35. Y. M. Galperin, B. L. Altshuler, and D. V. Shantev, in Fundamental Problems of Mesoscopic Physics, edited by, I. V. Lerner, B. L. Altshuler, and, Y. Gefen, (Kluwer, Dordrecht, 2004), pp. 141-165.
36. 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
37. See, e.g., L. Viola and S. Lloyd, Phys. Rev. A 58, 2733 (1998). 10.1103/PhysRevA.58.2733
38. 1 2 ⊃′ becomes real, the Hamiltonian becomes symmetric under 1 ↔ 2 ⊃′ and one can use the same solution as in Ref.. That is why we call this solution "symmetric."
39. See, e.g., H. Bluhm, N. C. Koshnick, J. A. Bert, M. E. Huber, and K. A. Moler, Phys. Rev. Lett. 102, 136802 (2009) 10.1103/PhysRevLett.102.136802
40. A. C. Bleszynski-Jayich, W. E. Shanks, B. Peaudecerf, E. Ginossar, F. von Oppen, L. Glazman, and J. G. E. Harris, Science 326, 272 (2009) 10.1126/science.1178139
41. Many methods to measure dot occupation are reviewed by T. Fujisawa, T. Hayashi, and S. Sasaki, Rep. Prog. Phys. 69, 759 (2006). 10.1088/0034-4885/69/3/ R05