Theory of dynamical control of qubit decay and decoherence

IEEE Transactions on Nanotechnology

Volumn 4, Issue 1, 2005, Pages 116-123

  Kofman, Abraham G ^a   Kurizki, Gershon ^a  

^a WEIZMANN INSTITUTE OF SCIENCE   (Israel)

Author keywords

Anti Zeno effect (AZE); Nanoscale structures; Optical lattices; Quantum relaxation; Quantum tunneling; Quantum Zeno effect (QZE)

Indexed keywords

APPROXIMATION THEORY; CONTINUUM MECHANICS; ELECTRON TUNNELING; HAMILTONIANS; JOSEPHSON JUNCTION DEVICES; NANOSTRUCTURED MATERIALS; TUNNEL JUNCTIONS;

ANTI-ZENO EFFECT (AZE); DECOHERENCE; NANOSCALE STRUCTURES; OPTICAL LATTICES; QUANTUM RELAXATION; QUANTUM TUNNELING; QUANTUM ZENO EFFECT (QZE); QUBIT DECAY;

QUANTUM THEORY;

EID: 12844275351     PISSN: 1536125X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TNANO.2004.840169     Document Type: Conference Paper

References (49)

1. G. A. Prinz, "Device physics - magnetoelectronics," Science, vol. 282, pp. 1660-1663, 1998.
2. H. Akinaga and H. Ohno, "Semiconductor spintronics," IEEE Trans. Nanotechnol., vol. 1, no. 1, pp. 19-31, Mar. 2002.
3. D. Mozyrsky, L. Fedichkin, S. A. Gurvitz, and G. P. Herman, "Interference effects in resonant magnetotransport," Phys. Rev. B, Condens. Matter, vol. 66, p. 161 313, 2002.
4. T. A. Fulton and G. J. Dolan, "Observation of single-electron charging effects in small tunnel-junctions," Phys. Rev. Lett., vol. 59, pp. 109-112, 1987.
5. D. V. Averin and K. K. Likharev, Mesoscopic Phenomena in Solids, B. L. Altshuller, P. A. Lee, and R. A. Webb, Eds. Amsterdam, The Netherlands: Elsevier, 1991.
6. A. Barenco, D. Deutsch, A. Ekert, and R. Jozsa, "Conditional quantum dynamics and logic gates," Phys. Rev. Lett., vol. 74, pp. 4083-4086, 1995.
7. B. E. Kane, "A silicon-based nuclear spin quantum computer," Nature (London), vol. 393, pp. 133-137, 1998.
8. V. Privman, I. D. Vagner, and G. Kventsel, "Quantum computation in quantum-Hall systems," Phys. Lett. A, vol. 239, pp. 141-146, 1998.
9. D. Loss and D. P. DiVincenzo, "Quantum computation with quantum dots." Phys. Rev. A, Gen. Phys., vol. 57, pp. 120-126, 1998.
10. S. Bandyopadhyay, A. Balandin, V. P. Roychowdhury, and F. Vatan, "Nanoelectronic implementations of reversible and quantum logic," Superlatt. Microstr., vol. 23, pp. 445-464, 1998.
11. A. Imamoglu, D. D. Awschalom, G. Burkard, D. P. DiVincenzo, D. Loss, M. Sherwin, and A. Small, "Quantum information processing using quantum dot spins and cavity QED," Phys. Rev. Lett., vol. 83, pp. 4204-4207, 1999.
12. L. Fedichkin, M. Yanchenko, and K. A. Valiev, "Coherent charge qubits based on GaAs quantum dots with a built-in barrier," Nanotechnol., vol. 11, pp. 387-391, 2000.
13. R. Vrijen, E. Yablonovitch, K. Wang, H. W. Jiang, A. Balandin, V. Roychowdhury, T. Mor, and D. DiVincenzo, "Electron-spin-resonance transistors for quantum computing in silicon-germanium heterostructures," Phys. Rev. A, Gen. Phys., vol. 62, p. 012306, 2000.
14. D. Mozyrsky, V. Privman, and M. L. Classer, "Indirect interaction of solid-state qubits via two-dimensional electron gas," Phys. Rev. Lett., vol. 86, pp. 5112-5115, 2001.
15. G. P. Berman, G. W. Brown, M. E. Hawley, and V. I. Tsifrinovich, "Solid-state quantum computer based on scanning tunneling microscopy," Phys. Rev. Lett., vol. 87, p. 097 902, 2001.
16. 0 mesons and the nonexponential character of the decay," JETP Lett., vol. 8, pp. 65-68, 1968.
17. B. Misra and E. C. G. Sudarshan, "The Zeno's paradox in quantum theory," J. Math. Phys., vol. 18, pp. 756-763, 1977.
18. R. Cook, "What are quantum jumps," Phys. Scr., vol. T21, pp. 49-51, 1988.
19. W. M. Itano, D. J. Heinzen, J. J. Bollinger, and D. J. Wineland, "Quantum Zeno effect." Phys. Rev. A, Gen. Phys., vol. 41, pp. 2295-2300, 1990.
20. A. G. Kofman and G. Kurizki, "Quantum Zeno effect on atomic excitation decay in resonators," Phys. Rev. A, Gen. Phys., vol. 54, pp. R3750-R3753, 1996.
21. S. A. Gurvitz, "Measurements with a noninvasive detector and dephasing mechanism," Phys. Rev. B, Condens. Matter, vol. 56, pp. 15215-15223, 1997.
22. A. G. Kofman and G. Kurizki, "Acceleration of quantum decay processes by frequent observations," Nature (London), vol. 405, pp. 546-550, 2000.
23. -, "Frequent observations accelerate decay: The anti-Zeno effect," Z. Naturforsch. A, vol. 56, pp. 83-90, 2001.
24. A. G. Kofman, G. Kurizki, and T. Opatrný, "Zeno and anti-Zeno effects for photon polarization dephasing," Phys. Rev. A, Gen. Phys.,vol. 63, p. 042 108, 2001.
25. A. M. Lane, "Decay at early times-Larger or smaller than the Golden Rule," Phys. Lett., vol. 99A, pp. 359-360, 1983.
26. M. Lewenstein and K. Rzazewski, "Quantum anti-Zeno effect," Phys. Rev. A, Gen. Phys., vol. 61, p. 022 105, 2000.
27. G. J. Milburn, "Quantum Zeno effect and motional narrowing in a twolevel system," J. Opt Soc. Amer. B, Opt. Phys., vol. 5, pp. 1317-1322, 1988.
28. M. C. Fischer, B. Gutierrez-Medina, and M. G. Raizen, "Observation of the quantum Zeno and anti-Zeno effects in an unstable system," Phys. Rev. Lett., vol. 87, p. 040 402, 2001.
29. G. S. Agarwal, M. O. Scully, and H. Walther, "Accelerating decay by multiple 2 pi pulses," Phys. Rev. A, Gen. Phys., vol. 63, p. 044 101, 2001.
30. -, "Inhibition of decoherence due to decay in a continuum," Phys. Rev. Lett., vol. 86, pp. 4271-4274, 2001.
31. A. Beige, D. Braun, B. Tregenna, and P. L. Knight, "Quantum computing using dissipation to remain in a decoherence-free subspace," Phys. Rev. Lett., vol. 85, pp. 1762-1765, 2000.
32. L. Viola, E. Knill, and S. Lloyd, "Dynamical decoupling of open quantum systems," Phys. Rev. Lett., vol. 82, pp. 2417-2421, 1999.
33. O. V, Prezhdo, "Quantum anti-zeno acceleration of a chemical reaction," Phys. Rev. Lett., vol. 85, pp. 4413-4417, 2000.
34. A.G. Kofman and G. Kurizki, "Universal dynamical control of quantum mechanical decay: Modulation of the coupling to the continuum," Phys. Rev. Lett., vol. 87, p. 270 405, 2001.
35. A. Barone, G. Kurizki, and A. G. Kofman, "Dynamical control of macroscopic quantum tunneling," Phys. Rev. Lett., vol. 92, p. 200 403, 2004.
36. A. G. Kofman and G. Kurizki, "Unified theory of dynamically suppressed qubit decoherence in thermal baths," Phys. Rev. Lett., vol. 93, p. 130406, 2004, to be published.
37. L. Viola and S. Lloyd, "Dynamical suppression of decoherence in two-state quantum systems," Phys. Rev. A, Gen. Phys., vol. 58, pp. 2733-2744, 1998.
38. M. V. Fedorov and A. E. Kazakov, "Photodetachment of an electron from a negative ion in the near-threshold region. II. Pulses of radiation with smooth time envelopes," J. Phys. B, vol. 16, pp. 3653-3666, 1983.
39. A. Raczyński and J. Zaremba, "Photoionization by an exponentially decaying pulse," Phys. Rev. A, Gen. Phys., vol. 35, pp. 4437-4439, 1987.
40. -, "Near-threshold photoionization and photodetachment by an exponentially decaying pulse," Phys. Rev. A, Gen. Phys., vol. 38, pp. 5115-5120, 1988.
41. M. Shapiro, "Theory of one-photon and 2-photon dissociation with strong laser-pulses," J. Chem. Phys., vol. 101, pp. 3844-3851, 1994.
42. J. R. Kukliński and M. Lewenstein, "Pulse-shape-induced phenomena in photodetachment," J. Phys. B, vol. 20, pp. 1387-1398, 1987.
43. G. S. Agarwal, "Control of decoherence and relaxation by frequency modulation of a heat bath," Phys. Rev. A, Gen. Phys., vol. 61, p. 013 809, 2000.
44. A. G. Kofman, G. Kurizki, and B. Sherman, "Spontaneous and induced atomic decay in photonic band structures," J. Mod. Opt., vol. 41, pp. 353-384, 1994.
45. B. Sherman, G. Kurizki, and A. Kadyshevitch, "Nonclassical field-dynamics in photonic band structures - Atomic-beam resonant interaction with a spatially periodic field mode," Phys. Rev, Lett., vol. 69, pp. 1927-1930, 1992.
46. Y. Japha and G. Kurizki, "Spontaneous emission from tunneling two-level atoms," Phys. Rev. Lett., vol. 77, pp. 2909-2912, 1996.
47. Q. Niu and M. G. Raizen, "How Landau-Zener tunneling takes time," Phys. Rev. Lett., vol. 80, pp. 3491-3494, 1998.
48. M. Born and E. Wolf, Principles of Optics. Oxford, U.K.: Pergamon, 1980.
49. C. Search and P. R. Berman, "Suppression of magnetic state decoherence using ultrafast optical pulses," Phys. Rev. Lett., vol. 85, pp. 2272-2275, 2000.