Table of Contents
ISRN Optics
Volume 2013 (2013), Article ID 783865, 51 pages
http://dx.doi.org/10.1155/2013/783865
Review Article

Universal Dynamical Control of Open Quantum Systems

Weizmann Institute of Science, 76100 Rehovot, Israel

Received 25 March 2013; Accepted 24 April 2013

Academic Editors: M. D. Hoogerland, D. Kouznetsov, A. Miroshnichenko, and S. R. Restaino

Copyright © 2013 Gershon Kurizki. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. C. A. Sackett, D. Kielpinski, B. E. King et al., “Experimental entanglement of four particles,” Nature, vol. 404, no. 6775, pp. 256–259, 2000. View at Publisher · View at Google Scholar · View at Scopus
  2. L. A. Wu and D. A. Lidar, “Creating decoherence-free subspaces using strong and fast pulses,” Physical Review Letters, vol. 88, Article ID 207902, 4 pages, 2002. View at Google Scholar
  3. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information, Cambridge University Press, Cambridge, UK, 2000.
  4. P. R. Hemmer, A. V. Turukhin, M. S. Shahriar, and J. A. Musser, “Raman-excited spin coherences in nitrogen-vacancy color centers in diamond,” Optics Letters, vol. 26, no. 6, pp. 361–363, 2001. View at Google Scholar · View at Scopus
  5. T. Takagahara, “Electron-phonon interactions in semiconductor nanocrystals,” Journal of Luminescence, vol. 70, no. 1–6, pp. 129–143, 1996. View at Google Scholar · View at Scopus
  6. J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light, Princeton University Press, 1995.
  7. G. Kurizki and A. G. Kofman, The Encyclopedia of Optical Engineering, Dekker, 2003.
  8. H. Gießen, J. D. Berger, G. Mohs, P. Meystre, and S. F. Yelin, “Cavity-modified spontaneous emission: from Rabi oscillations to exponential decay,” Physical Review A, vol. 53, no. 4, pp. 2816–2821, 1996. View at Google Scholar · View at Scopus
  9. T. Quang, M. Woldeyohannes, and S. John, “Coherent control of spontaneous emission near a photonic band edge: a single-atom optical memory device,” Physical Review Letters, vol. 79, pp. 5238–5241, 1997. View at Publisher · View at Google Scholar
  10. G. K. Brennen, C. M. Caves, P. S. Jessen, and I. H. Deutsch, “Quantum logic gates in optical lattices,” Physical Review Letters, vol. 82, no. 5, pp. 1060–1063, 1999. View at Google Scholar · View at Scopus
  11. T. Calarco, A. Datta, P. Fedichey, E. Pazy, and P. Zoller, “Spin-based all-optical quantum computation with quantum dots: understanding and suppressing decoherence,” Physical Review A, vol. 68, no. 1, Article ID 012310, 2003. View at Google Scholar · View at Scopus
  12. J. J. García-Ripoll, P. Zoller, and J. I. Cirac, “Speed optimized two-qubit gates with laser coherent control techniques for ion trap quantum computing,” Physical Review Letters, vol. 91, Article ID 157901, 4 pages, 2003. View at Google Scholar
  13. L. Landau and E. Lifshitz, Quantum Mechanics, Pergamon, Oxford, UK, 1977.
  14. S. John and J. Wang, “Quantum electrodynamics near a photonic band gap: photon bound states and dressed atoms,” Physical Review Letters, vol. 64, pp. 2418–2421, 1990. View at Publisher · View at Google Scholar
  15. M. Woldeyohannes and S. John, “Coherent control of spontaneous emission near a photonic band edge,” Journal of Optics B, vol. 5, no. 2, pp. R43–R82, 2003. View at Publisher · View at Google Scholar · View at Scopus
  16. S. Y. Zhu, Y. Yang, H. Chen et al., “Spontaneous radiation and lamb shift in three-dimensional photonic crystals,” Physical Review Letters, vol. 84, pp. 2136–2139, 2000. View at Publisher · View at Google Scholar
  17. B. S. Ham, M. S. Shahriar, M. K. Kim, and P. R. Hemmer, “Frequency-selective time-domain optical data storage by electromagnetically induced transparency in a rare-earth-doped solid,” Optics Letters, vol. 22, no. 24, pp. 1849–1851, 1997. View at Google Scholar · View at Scopus
  18. D. Petrosyan and G. Kurizki, “Photon-photon correlations and entanglement in doped photonic crystals,” Physical Review A, vol. 64, no. 2, Article ID 023810, 2001. View at Google Scholar · View at Scopus
  19. A. G. Kofman and G. Kurizki, “Acceleration of quantum decay processes by frequent observations,” Nature, vol. 405, pp. 546–550, 2000. View at Publisher · View at Google Scholar
  20. A. G. Kofman and G. Kurizki, “Universal dynamical control of quantum mechanical decay: modulation of the coupling to the continuum,” Physical Review Letters, vol. 87, Article ID 270405, 4 pages, 2001. View at Publisher · View at Google Scholar
  21. A. G. Kofman and G. Kurizki, “Unified theory of dynamically suppressed qubit decoherence in thermal baths,” Physical Review Letters, vol. 93, Article ID 130406, 2004. View at Publisher · View at Google Scholar
  22. G. Gordon and G. Kurizki, “Preventing multipartite disentanglement by local modulations,” Physical Review Letters, vol. 97, Article ID 110503, 8 pages, 2006. View at Publisher · View at Google Scholar
  23. G. Gordon, N. Erez, and G. Kurizki, “Universal dynamical decoherence control of noisy single- and multi-qubit systems,” Journal of Physics B, vol. 40, S75, 2007. View at Publisher · View at Google Scholar
  24. A. M. Lane, “Decay at early times: larger or smaller than the golden rule?” Physics Letters, vol. 99, pp. 359–360, 1983. View at Google Scholar
  25. A. G. Kofman and G. Kurizki, “Quantum Zeno effect on atomic excitation decay in resonators,” Physical Review A, vol. 54, pp. R3750–R3753, 1996. View at Publisher · View at Google Scholar
  26. P. Facchi and S. Pascazio, “Quantum Zeno phenomena: pulsed versus continuous measurement,” Progress in Physics, vol. 49, pp. 941–947, 2001. View at Google Scholar
  27. Y. Castin and J. Dalibard, “Relative phase of two Bose-Einstein condensates,” Physical Review A, vol. 55, pp. 4330–4337, 1997. View at Publisher · View at Google Scholar
  28. M. Lewenstein and L. You, “Quantum phase diffusion of a Bose-Einstein condensate,” Physical Review Letters, vol. 77, pp. 3489–3493, 1996. View at Publisher · View at Google Scholar
  29. E. M. Wright, D. F. Walls, and J. C. Garrison, “Collapses and revivals of Bose-Einstein condensates formed in small atomic samples,” Physical Review Letters, vol. 77, pp. 2158–2161, 1996. View at Publisher · View at Google Scholar
  30. M. Javanainen and M. Wilkens, “Phase and phase diffusion of a split Bose-Einstein condensate,” Physical Review Letters, vol. 78, pp. 4675–4678, 1997. View at Publisher · View at Google Scholar
  31. A. Vardi and J. R. Anglin, “Bose-Einstein condensates beyond mean field theory: quantum backreaction as decoherence,” Physical Review Letters, vol. 86, pp. 568–571, 2001. View at Publisher · View at Google Scholar
  32. J. R. Anglin and A. Vardi, “Magic numbers and erratic level crossings of double-well Bose-Einstein condensates,” Physical Review A, vol. 64, Article ID 013605, 2001. View at Google Scholar
  33. M. Greiner, M. O. Mandel, T. Hänsch, and I. Bloch, “Collapse and revival of the matter wave field of a Bose-Einstein condensate,” Nature, vol. 419, pp. 51–54, 2002. View at Publisher · View at Google Scholar
  34. T. Schumm, S. Hofferberth et al., “Matter-wave interferometry in a double well on an atom chip,” Nature Physics, vol. 1, pp. 57–62, 2005. View at Publisher · View at Google Scholar
  35. Y. Shin, “Interference of Bose-Einstein condensates split with an atom chip,” Physical Review A, vol. 72, Article ID 021604, 4 pages, 2005. View at Publisher · View at Google Scholar
  36. G.-B. Jo, “Long phase coherence time and number squeezing of two Bose-Einstein condensates on an atom chip,” Physical Review Letters, vol. 98, Article ID 030407, 2007. View at Google Scholar
  37. I. E. Mazets, G. Kurizki, N. Katz, and N. Davidson, “Optically induced polarons in Bose-Einstein condensates: monitoring composite quasiparticle decay,” Physical Review Letters, vol. 94, Article ID 190403, 2005. View at Publisher · View at Google Scholar
  38. E. W. Streed, “Continuous and pulsed quantum Zeno effect,” Physical Review Letters, vol. 97, Article ID 260402, 2006. View at Publisher · View at Google Scholar
  39. G.-B. Jo, “Phase-sensitive recombination of two Bose-Einstein condensates on an atom chip,” Physical Review Letters, vol. 98, Article ID 180401, 2007. View at Google Scholar
  40. M. Anderlini, J. Sebby-Strabley, J. Kruse et al., “Controlled atom dynamics in a double-well optical lattice,” Journal of Physics B, vol. 39, article S19, 2006. View at Publisher · View at Google Scholar
  41. J. Sebby-Strabley, B. L. Brown, and M. Anderlini, “Preparing and probing atomic number states with an atom interferometer,” Physical Review Letters, vol. 98, Article ID 200405, 2007. View at Publisher · View at Google Scholar
  42. S. Folling, S. Trotzky, and P. Cheinet, “Direct observation of second-order atom tunnelling,” Nature, vol. 448, Article ID 06112, 2007. View at Publisher · View at Google Scholar
  43. W. H. Zurek, “Decoherence, einselection, and the quantum origins of the classical,” Reviews of Modern Physics, vol. 75, pp. 715–775, 2003. View at Publisher · View at Google Scholar
  44. P. J. Y. Louis, P. M. R. Brydon, and C. M. Savage, “Macroscopic quantum superposition states in Bose-Einstein condensates: decoherence and many modes,” Physical Review A, vol. 64, Article ID 053613, 2001. View at Publisher · View at Google Scholar
  45. Y. P. Huang and M. G. Moore, “Creation, detection, and decoherence of macroscopic quantum superposition states in double-well Bose-Einstein condenates,” Physical Review A, vol. 73, Article ID 023606, 2006. View at Google Scholar
  46. I. Tikhonenkov, J. R. Anglin, and A. Vardi, “Quantum dynamics of Bose-Hubbard Hamiltonians beyond the Hartree-Fock-Bogoliubov approximation: the Bogoliubov back-reaction approximation,” Physical Review A, vol. 75, no. 6, Article ID 013613, 2007. View at Google Scholar · View at Scopus
  47. I. Tikhonenkov, J. R. Anglin, and A. Vardi, “Erratum to: Quantum dynamics of Bose-Hubbard Hamiltonians beyond the Hartree-Fock-Bogoliubov approximation: the Bogoliubov back-reaction approximation,” Physical Review A, vol. 75, Article ID 069910, 2007. View at Google Scholar
  48. J. R. Anglin, “Cold, dilute, trapped bosons as an open quantum system,” Physical Review Letters, vol. 79, pp. 6–9, 1997. View at Publisher · View at Google Scholar
  49. L. Fonda and G. C. Ghirardi, “Some remarks on the origin of the deviations from the exponential decay law of an unstable particle,” Nuovo Cimento A, vol. 7, pp. 180–184, 1972. View at Publisher · View at Google Scholar
  50. B. Misra and E. C. G. Sudarshan, “The Zeno’s paradox in quantum theory,” Journal of Mathematical Physics, vol. 18, article 756, 8 pages, 1977. View at Publisher · View at Google Scholar
  51. A. G. Kofman and G. Kurizki, “Acceleration of quantum decay processes by frequent observations,” Nature, vol. 405, no. 6786, pp. 546–550, 2000. View at Publisher · View at Google Scholar · View at Scopus
  52. A. G. Kofman and G. Kurizki, “Universal dynamical control of quantum mechanical decay: modulation of the coupling to the continuum,” Physical Review Letters, vol. 87, Article ID 270405, 4 pages, 2001. View at Publisher · View at Google Scholar
  53. P. Facchi, H. Nakazato, and S. Pascazio, “From the quantum Zeno to the inverse quantum Zeno effect,” Physical Review Letters, vol. 86, pp. 2699–2703, 2001. View at Publisher · View at Google Scholar
  54. A. M. Lane, “Decay at early times: larger or smaller than the golden rule?” Physics Letters A, vol. 99, pp. 359–360, 1983. View at Publisher · View at Google Scholar
  55. M. C. Fischer, B. Gutierrez-Medina, and M. G. Raizen, “Observation of the quantum Zeno and anti-Zeno effects in an unstable system,” Physical Review Letters, vol. 87, Article ID 040402, 2001. View at Google Scholar
  56. J. J. Sakurai, Modern Quantum Mechanics, Addison-Wesley, 1994.
  57. C. J. Myatt, B. E. King, Q. A. Turchette et al., “Decoherence of quantum superpositions through coupling to engineered reservoirs,” Nature, vol. 403, no. 6767, pp. 269–273, 2000. View at Publisher · View at Google Scholar · View at Scopus
  58. E. Yablonovitch, “Inhibited spontaneous emission in solid-state physics and electronics,” Physical Review Letters, vol. 58, pp. 2059–2062, 1987. View at Publisher · View at Google Scholar
  59. A. G. Kofman, G. Kurizki, and B. Sherman, “Spontaneous and induced atomic decay in photonic band structures,” Journal of Modern Optics, vol. 41, pp. 353–384, 1994. View at Publisher · View at Google Scholar
  60. J. Stenger, S. Inouye, A. P. Chikkatur et al., “Bragg spectroscopy of a Bose-Einstein condensate,” Physical Review Letters, vol. 82, pp. 4569–4573, 1999. View at Publisher · View at Google Scholar
  61. M. Kozuma, L. Deng, E. W. Hagley et al., “Coherent splitting of Bose-Einstein condensed atoms with optically induced Bragg diffraction,” Physical Review Letters, vol. 82, pp. 871–875, 1999. View at Publisher · View at Google Scholar
  62. R. Ozeri, N. Katz, J. Steinhauer, and N. Davidson, “Colloquium: bulk Bogoliubov excitations in a Bose-Einstein condensate,” Reviews of Modern Physics, vol. 77, no. 1, pp. 187–205, 2005. View at Publisher · View at Google Scholar · View at Scopus
  63. M. Kramer, C. Menotti, L. Pitaevskii, and S. Stringari, “Bose-Einstein condensates in 1D optical lattices,” European Physical Journal D, vol. 27, pp. 247–261, 2003. View at Publisher · View at Google Scholar
  64. C. Menotti, M. Kramer, L. Pitaevskii, and S. Stringari, “Dynamic structure factor of a bose-einstein condensate in a one-dimensional optical lattice,” Physical Review A, vol. 67, Article ID 053609, 2003. View at Google Scholar
  65. S. T. Beliaev, “Energy-spectrum of a non-ideal Bose gas,” Soviet Physics, vol. 2, p. 299, 1958. View at Google Scholar
  66. S. Tsuchiya and A. Griffin, “Damping of Bogoliubov excitations in optical lattices,” Physical Review A, vol. 70, no. 2, Article ID 023611, 4 pages, 2004. View at Publisher · View at Google Scholar · View at Scopus
  67. N. N. Bogoliubov, “On the theory of superfluidity,” Journal of Physics-USSR, vol. 11, article 23, 1947. View at Google Scholar
  68. N. Katz, J. Steinhauer, R. Ozeri, and N. Davidson, “Baliaev damping of quasi-particles in a Bose-Einstein condensate,” Physical Review Letters, vol. 89, Article ID 220401, 2002. View at Google Scholar
  69. E. E. Rowen, N. Bar-Gill, and R. Pugatch, “Energy-dependent damping of excitations over an elongated Bose-Einstein condensate,” Physical Review A, vol. 77, Article ID 033602, 2008. View at Google Scholar
  70. H.-P. Breuer and F. Petruccione, The Theory of Open Quantum Systems, Oxford University Press, Oxford, UK, 2002.
  71. K. Banaszek, A. Dragan, W. Wasilewski, and C. Radzewicz, “Experimental demonstration of entanglement-enhanced classical communication over a quantum channel with correlated noise,” Physical Review Letters, vol. 92, no. 25, Article ID 257901, 2004. View at Publisher · View at Google Scholar · View at Scopus
  72. J. Ball, A. Dragan, and K. Banaszek, “Exploiting entanglement in communication channels with correlated noise,” Physical Review A, vol. 69, no. 4, Article ID 042324, 2004. View at Publisher · View at Google Scholar · View at Scopus
  73. S. Bandyopadhyay and D. A. Lidar, “Entangling capacities of noisy two-qubit Hamiltonians,” Physical Review A, vol. 70, no. 1, Article ID 010301, 2004. View at Publisher · View at Google Scholar · View at Scopus
  74. T. Yu and J. H. Eberly, “Finite-time disentanglement via spontaneous emission,” Physical Review Letters, vol. 93, no. 14, pp. 1–140404, 2004. View at Publisher · View at Google Scholar · View at Scopus
  75. T. Yu and J. H. Eberly, “Sudden death of entanglement: classical noise effects,” Optics Communications, vol. 264, no. 2, pp. 393–397, 2006. View at Publisher · View at Google Scholar · View at Scopus
  76. C. Cohen-Tannoudji, J. Dupont-Roc, and G. Grynberg, Atom-Photon Interactions, Wiley, New York, NY, USA, 1992.
  77. J. Clarke, A. N. Cleland, M. H. Devoret, D. Esteve, and J. M. Martinis, “Quantum mechanics of a macroscopic variable: the phase difference of a Josephson junction,” Science, vol. 239, no. 4843, pp. 992–997, 1988. View at Google Scholar · View at Scopus
  78. M. O. Scully and M. S. Zubairy, Quantum Optics, Cambridge University Press, Cambridge, Mass, USA, 1997.
  79. G. S. Agarwal, “Control of decoherence and relaxation by frequency modulation of a heat bath,” Physical Review A, vol. 61, Article ID 013809, 2000. View at Google Scholar · View at Scopus
  80. G. S. Agarwal, M. O. Scully, and H. Walther, “Accelerating decay by multiple 2π pulses,” Physical Review A, vol. 63, no. 4, Article ID 044101, 2001. View at Publisher · View at Google Scholar · View at Scopus
  81. G. S. Agarwal, M. O. Scully, and H. Walther, “Inhibition of decoherence due to decay in a continuum,” Physical Review Letters, vol. 86, no. 19, pp. 4271–4274, 2001. View at Publisher · View at Google Scholar · View at Scopus
  82. L. Viola and S. Lloyd, “Dynamical suppression of decoherence in two-state quantum systems,” Physical Review A, vol. 58, no. 4, pp. 2733–2744, 1998. View at Google Scholar · View at Scopus
  83. K. Shiokawa and D. A. Lidar, “Dynamical decoupling using slow pulses: efficient suppression of 1/f noise,” Physical Review A, vol. 69, no. 3, Article ID 030302, 2004. View at Publisher · View at Google Scholar · View at Scopus
  84. D. Vitali and P. Tombesi, “Heating and decoherence suppression using decoupling techniques,” Physical Review A, vol. 65, no. 1, Article ID 012305, 2002. View at Google Scholar · View at Scopus
  85. P. Facchi and S. Pascazio, “Quantum Zeno and inverse quantum Zeno effects,” Progress in Optics, vol. 42, pp. 147–217, 2001. View at Publisher · View at Google Scholar · View at Scopus
  86. P. Facchi, D. A. Lidar, and S. Pascazio, “Unification of dynamical decoupling and the quantum Zeno effect,” Physical Review A, vol. 69, no. 3, Article ID 032314, 2004. View at Publisher · View at Google Scholar · View at Scopus
  87. P. Zanardi and S. Lloyd, “Topological protection and quantum noiseless subsystems,” Physical Review Letters, vol. 90, no. 6, Article ID 067902, 2003. View at Google Scholar · View at Scopus
  88. L. Viola and E. Knill, “Robust dynamical decoupling of quantum systems with bounded controls,” Physical Review Letters, vol. 90, no. 3, Article ID 037901, 2003. View at Google Scholar · View at Scopus
  89. C. Uchiyama and M. Aihara, “Multipulse control of decoherence,” Physical Review A, vol. 66, Article ID 032313, 2002. View at Google Scholar · View at Scopus
  90. K. Khodjasteh and D. A. Lidar, “Fault-tolerant quantum dynamical decoupling,” Physical Review Letters, vol. 95, no. 18, Article ID 180501, 2005. View at Publisher · View at Google Scholar · View at Scopus
  91. M. Stollsteimer and G. Mahler, “Suppression of arbitrary internal coupling in a quantum register,” Physical Review A, vol. 64, Article ID 052301, 2001. View at Google Scholar · View at Scopus
  92. L. Faoro and L. Viola, “Dynamical suppression of 1/f noise processes in qubit systems,” Physical Review Letters, vol. 92, Article ID 117905, 2004. View at Publisher · View at Google Scholar · View at Scopus
  93. C. Search and P. R. Berman, “Suppression of magnetic state decoherence using ultrafast optical pulses,” Physical Review Letters, vol. 85, no. 11, pp. 2272–2275, 2000. View at Publisher · View at Google Scholar · View at Scopus
  94. U. Haeberlen, High Resolution NMR in Solids: Selective Averaging, Academic, New York, NY, USA, 1976.
  95. G. S. Uhrig, “Keeping a quantum bit alive by optimized pipulse sequences,” Physical Review Letters, vol. 98, Article ID 100504, 2007. View at Google Scholar
  96. M. J. Biercuk, H. Uys, A. P. VanDevender, N. Shiga, W. M. Itano, and J. J. Bollinger, “Optimized dynamical decoupling in a model quantum memory,” Nature, vol. 458, no. 7241, pp. 996–1000, 2009. View at Publisher · View at Google Scholar · View at Scopus
  97. A. G. Kofman and G. Kurizki, “Acceleration of quantum decay processes by frequent observations,” Nature, vol. 405, no. 6786, pp. 546–550, 2000. View at Publisher · View at Google Scholar · View at Scopus
  98. A. G. Kofman and G. Kurizki, “Frequent observations accelerate decay: the anti-Zeno effect,” Zeitschrift fur Naturforschung, vol. 56, no. 1-2, pp. 83–90, 2001. View at Google Scholar · View at Scopus
  99. A. G. Kofman and G. Kurizki, “Universal dynamical control of quantum mechanical decay: modulation of the coupling to the continuum,” Physical Review Letters, vol. 87, Article ID 270405, 2001. View at Google Scholar · View at Scopus
  100. A. G. Kofman and G. Kurizki, “Unified theory of dynamically suppressed qubit decoherence in thermal baths,” Physical Review Letters, vol. 93, no. 13, Article ID 130406, 2004. View at Publisher · View at Google Scholar · View at Scopus
  101. A. G. Kofman, G. Kurizki, and T. Opatrný, “Zeno and anti-Zeno effects for photon polarization dephasing,” Physical Review A, vol. 63, Article ID 042108, 2001. View at Publisher · View at Google Scholar · View at Scopus
  102. A. G. Kofman and G. Kurizki, “Quantum Zeno effect on atomic excitation decay in resonators,” Physical Review A, vol. 54, no. 5, pp. R3750–R3753, 1996. View at Google Scholar · View at Scopus
  103. S. Pellegrin and G. Kurizki, “Nonadiabatic relaxation control of qubits strongly coupled to continuum edge,” Physical Review A, vol. 71, no. 3, Article ID 032328, 2005. View at Publisher · View at Google Scholar · View at Scopus
  104. G. Gordon, G. Kurizki, and D. A. Lidar, “Optimal dynamical decoherence control of a qubit,” Physical Review Letters, vol. 101, no. 1, Article ID 010403, 2008. View at Publisher · View at Google Scholar · View at Scopus
  105. A. G. Kofman and G. Kurizki, “Theory of dynamical control of qubit decay and decoherence,” IEEE Transactions on Nanotechnology, vol. 4, no. 1, pp. 116–123, 2005. View at Publisher · View at Google Scholar · View at Scopus
  106. M. C. Fischer, B. Gutiérrez-Medina, and M. G. Raizen, “Observation of the quantum Zeno and anti-Zeno effects in an unstable system,” Physical Review Letters, vol. 87, no. 4, Article ID 040402, 2001. View at Google Scholar · View at Scopus
  107. G. Gordon, G. Kurizki, and A. G. Kofman, “Universal dynamical control of local decoherence for multipartite and multilevel systems,” Optics Communications, vol. 264, no. 2, pp. 398–406, 2006. View at Publisher · View at Google Scholar · View at Scopus
  108. K. Zyczkowski, P. Horodecki, M. Horodecki, and R. Horodecki, “Dynamics of quantum entanglement,” Physical Review A, vol. 65, no. 1, Article ID 012101, 2002. View at Google Scholar · View at Scopus
  109. M. Ban, S. Kitajima, and F. Shibata, “Decoherence of entanglement in the Bloch channel,” Journal of Physics A, vol. 38, no. 19, pp. 4235–4245, 2005. View at Publisher · View at Google Scholar · View at Scopus
  110. C. Anastopoulos, S. Shresta, and B. L. Hu, “Quantum entanglement under non-markovian dynamics of two qubits interacting with a common electromagnetic field,” http://arxiv.org/abs/quant-ph/0610007.
  111. M. P. Almeida, F. De Melo, M. Hor-Meyll et al., “Environment-induced sudden death of entanglement,” Science, vol. 316, pp. 579–582, 2007. View at Publisher · View at Google Scholar · View at Scopus
  112. F. F. Fanchini and R. D. J. Napolitano, “Continuous dynamical protection of two-qubit entanglement from uncorrelated dephasing, bit flipping, and dissipation,” Physical Review A, vol. 76, no. 6, Article ID 062306, 2007. View at Publisher · View at Google Scholar · View at Scopus
  113. J. H. Eberly and T. Yu, “The end of an entanglement,” Science, vol. 316, pp. 555–557, 2007. View at Publisher · View at Google Scholar · View at Scopus
  114. L. Viola, E. Knill, and S. Lloyd, “Dynamical generation of noiseless quantum subsystems,” Physical Review Letters, vol. 85, no. 16, pp. 3520–3523, 2000. View at Publisher · View at Google Scholar · View at Scopus
  115. P. Zanardi and M. Rasetti, “Noiseless quantum codes,” Physical Review Letters, vol. 79, no. 17, pp. 3306–3309, 1997. View at Google Scholar · View at Scopus
  116. D. A. Lidar, I. L. Chuang, and K. B. Whaley, “Decoherence-free subspaces for quantum computation,” Physical Review Letters, vol. 81, no. 12, pp. 2594–2597, 1998. View at Google Scholar · View at Scopus
  117. L.-A. Wu and D. A. Lidar, “Creating decoherence-free subspaces using strong and fast pulses,” Physical Review Letters, vol. 88, Article ID 207902, 2002. View at Google Scholar · View at Scopus
  118. G. S. Agarwal, “Control of decoherence and relaxation by frequency modulation of a heat bath,” Physical Review A, vol. 61, no. 1, Article ID 013809, 2000. View at Google Scholar · View at Scopus
  119. L. Viola, E. Knill, and S. Lloyd, “Dynamical decoupling of open quantum systems,” Physical Review Letters, vol. 82, no. 12, pp. 2417–2421, 1999. View at Google Scholar · View at Scopus
  120. Decoherence, Entanglement and Information Protection in Complex Quantum Systems, V. M. Akulin, A. Sarfati, G. Kurizki, and S. Pellegrin, Eds., vol. 189 of NATO Science Series II: Mathematics, Physics and Chemistry, Springer, 2005.
  121. A. Barone, G. Kurizki, and A. G. Kofman, “Dynamical control of macroscopic quantum tunneling,” Physical Review Letters, vol. 92, no. 20, Article ID 200403, 2004. View at Publisher · View at Google Scholar · View at Scopus
  122. G. Gordon, G. Kurizki, and A. G. Kofman, “Universal dynamical control of decay and decoherence in multilevel systems,” Journal of Optics B, vol. 7, no. 10, pp. S283–S292, 2005. View at Publisher · View at Google Scholar · View at Scopus
  123. G. Gordon and G. Kurizki, “Preventing multipartite disentanglement by local modulations,” Physical Review Letters, vol. 97, no. 11, Article ID 110503, 2006. View at Publisher · View at Google Scholar · View at Scopus
  124. G. Gordon, N. Erez, and G. Kurizki, “Universal dynamical decoherence control of noisy single- and multi-qubit systems,” Journal of Physics B, vol. 40, pp. S75–S93, 2007. View at Publisher · View at Google Scholar · View at Scopus
  125. G. Gordon and G. Kurizki, “Universal dephasing control during quantum computation,” Physical Review A, vol. 76, no. 4, Article ID 042310, 2007. View at Publisher · View at Google Scholar · View at Scopus
  126. G. Gordon, “Entanglement sudden death and its controlled partial resuscitation,” Europhysics Letters, vol. 83, no. 3, Article ID 30009, 2008. View at Publisher · View at Google Scholar · View at Scopus
  127. D. A. Lidar, D. Bacon, and K. B. Whaley, “Concatenating decoherence-free subspaces with quantum error correcting codes,” Physical Review Letters, vol. 82, no. 22, pp. 4556–4559, 1999. View at Google Scholar · View at Scopus
  128. P. Facchi and S. Pascazio, “Quantum zeno subspaces,” Physical Review Letters, vol. 89, Article ID 080401, 2002. View at Google Scholar · View at Scopus
  129. R. G. Unanyan and M. Fleischhauer, “Decoherence-free generation of many-particle entanglement by adiabatic ground-state transitions,” Physical Review Letters, vol. 90, no. 13, pp. 133601/1–133601/4, 2003. View at Google Scholar · View at Scopus
  130. E. Brion, V. M. Akulin, D. Comparat et al., “Coherence protection by the quantum Zeno effect and nonholonomic control in a Rydberg rubidium isotope,” Physical Review A, vol. 71, no. 5, Article ID 052311, 2005. View at Publisher · View at Google Scholar · View at Scopus
  131. D. Loss and D. P. Divincenzo, “Quantum computation with quantum dots,” Physical Review A, vol. 57, no. 1, pp. 120–126, 1998. View at Google Scholar · View at Scopus
  132. D. Schrader, I. Dotsenko, M. Khudaverdyan, Y. Miroshnychenko, A. Rauschenbeutel, and D. Meschede, “Neutral atom quantum register,” Physical Review Letters, vol. 93, Article ID 150501, 2004. View at Publisher · View at Google Scholar · View at Scopus
  133. A. Kreuter, C. Becher, G. P. T. Lancaster et al., “Spontaneous emission lifetime of a single trapped Ca+ ion in a high finesse cavity,” Physical Review Letters, vol. 92, no. 20, Article ID 203002, 2004. View at Publisher · View at Google Scholar · View at Scopus
  134. F. Schmidt-Kaler, H. Häffner, M. Riebe et al., “Realization of the Cirac-Zoller controlled-NOT quantum gate,” Nature, vol. 422, no. 6930, pp. 408–411, 2003. View at Publisher · View at Google Scholar · View at Scopus
  135. X. Li, Y. Wu, D. Steel et al., “An all-optical quantum gate in a semiconductor quantum dot,” Science, vol. 301, no. 5634, pp. 809–811, 2003. View at Publisher · View at Google Scholar · View at Scopus
  136. M. Fiorentino, T. Kim, and F. N. C. Wong, “Single-photon two-qubit SWAP gate for entanglement manipulation,” Physical Review A, vol. 72, no. 1, Article ID 012318, 2005. View at Publisher · View at Google Scholar · View at Scopus
  137. G. Gordon and G. Kurizki, “Dynamical protection of quantum computation from decoherence in laser-driven cold-ion and cold-atom systems,” New Journal of Physics, vol. 10, Article ID 045005, 2008. View at Publisher · View at Google Scholar · View at Scopus
  138. B. M. Escher, G. Bensky, J. Clausen, and G. Kurizki, “Optimized control of quantum state transfer from noisy to quiet qubits,” Journal of Physics B, vol. 44, no. 15, Article ID 154015, 2011. View at Publisher · View at Google Scholar · View at Scopus
  139. K. G. H. Vollbrecht, C. A. Muschik, and J. I. Cirac, “Entanglement distillation by dissipation and continuous quantum repeaters,” Physical Review Letters, vol. 107, no. 12, Article ID 120502, 2011. View at Publisher · View at Google Scholar · View at Scopus
  140. D. D. Bhaktavatsala Rao, N. Bar-Gill, and G. Kurizki, “Generation of macroscopic superpositions of quantum states by linear coupling to a bath,” Physical Review Letters, vol. 106, no. 1, Article ID 010404, 2011. View at Publisher · View at Google Scholar · View at Scopus
  141. D. Boschi, S. Branca, F. De Martineand, and L. Hardy, “Experimental realization of teleporting an unknown pure quantum state via dual classical and Einstein-Podolsky-Rosen channels,” Physical Review Letters, vol. 80, pp. 1121–1125, 1998. View at Publisher · View at Google Scholar
  142. J. I. Cirac and P. Zoller, “Quantum computations with cold trapped ions,” Physical Review Letters, vol. 74, no. 20, pp. 4091–4094, 1995. View at Publisher · View at Google Scholar · View at Scopus
  143. D. Petrosyan and G. Kurizki, “Scalable solid-state quantum processor using subradiant two-atom states,” Physical Review Letters, vol. 89, Article ID 207902, 2002. View at Google Scholar · View at Scopus
  144. T. Opatrný, B. Deb, and G. Kurizki, “Proposal for translational entanglement of dipole-dipole interacting atoms in optical lattices,” Physical Review Letters, vol. 90, Article ID 250404, 2003. View at Google Scholar · View at Scopus
  145. A. G. Kofman, G. Kurizki, and B. Sherman, “Spontaneous and induced atomic decay in photonic band structures,” Journal of Modern Optics, vol. 41, pp. 353–384, 1994. View at Google Scholar
  146. S. Nakajima, “On quantum theory of transport phenomena,” Progress of Theoretical Physics, vol. 20, article 948, 1958. View at Google Scholar
  147. R. Zwanzig, “Ensemble method in the theory of irreversibility,” The Journal of Chemical Physics, vol. 33, no. 5, pp. 1338–1341, 1960. View at Google Scholar · View at Scopus
  148. G. Lindblad, Non-Equilibrium Entropy and Irreversibility, vol. 5 of Mathematical Physics Studies, Reidel, Dordrecht, The Netherlands, 1983.
  149. G. Gordon, G. Kurizki, S. Mancini, D. Vitali, and P. Tombesi, “Open-loop stochastic control of quantum coherence,” Journal of Physics B, vol. 40, pp. S61–S73, 2007. View at Publisher · View at Google Scholar · View at Scopus
  150. L. A. Khalfin, “Phenomenological theory of k0 mesons and the non-exponential character of the decay,” JETP Letters, vol. 8, pp. 65–68, 1968. View at Google Scholar
  151. L. Fonda, G. Ghirardi, A. Rimini, and T. Weber, “Quantum foundations of the exponential decay law,” Nuovo Cimento A, vol. 15, article 689, 1973. View at Google Scholar
  152. B. Misra and E. C. G. Sudarshan, “The Zeno's paradox in quantum theory,” Journal of Mathematical Physics, vol. 18, no. 4, pp. 756–763, 1976. View at Google Scholar · View at Scopus
  153. A. M. Lane, “Decay at early times: larger or smaller than the golden rule?” Physics Letters A, vol. 99, no. 8, pp. 359–360, 1983. View at Google Scholar · View at Scopus
  154. B. Sherman, G. Kurizki, and A. Kadyshevitch, “Nonclassical field dynamics in photonic band structures: atomic-beam resonant interaction with a spatially periodic field mode,” Physical Review Letters, vol. 69, no. 13, pp. 1927–1930, 1992. View at Publisher · View at Google Scholar · View at Scopus
  155. Y. Japha and G. Kurizki, “Spontaneous emission from tunneling two-level atoms,” Physical Review Letters, vol. 77, no. 14, pp. 2909–2912, 1996. View at Google Scholar · View at Scopus
  156. Q. Niu and M. G. Raizen, “How Landau-Zener tunneling takes time,” Physical Review Letters, vol. 80, no. 16, pp. 3491–3494, 1998. View at Google Scholar · View at Scopus
  157. M. Born and E. Wolf, “This frequency distribution mimics the monochromatic-wave spatial intensity distribution produced by a line diffraction grating,” in Principles of Optics, Pergamon, Oxford, UK, 1980. View at Google Scholar
  158. R. Cook, “What are quantum jumps,” Physica Scripta, vol. 21, pp. 49–51, 1988. View at Google Scholar
  159. W. M. Itano, D. J. Heinzen, J. J. Bollinger, and D. J. Wineland, “Quantum Zeno effect,” Physical Review A, vol. 41, no. 5, pp. 2295–2300, 1990. View at Publisher · View at Google Scholar · View at Scopus
  160. H.-P. Breuer, B. Kappler, and F. Petruccione, “The time-convolutionless projection operator technique in the quantum theory of dissipation and decoherence,” Annals of Physics, vol. 291, no. 1, pp. 36–70, 2001. View at Publisher · View at Google Scholar · View at Scopus
  161. E. M. Lifshitz and L. P. Pitaevskii, Statistical Physics, vol. 2, Pergamon, Oxford, UK, 1980.
  162. R. Alicki, M. Horodecki, P. Horodecki, R. Horodecki, L. Jacak, and P. Machnikowski, “Optimal strategy for a single-qubit gate and the trade-off between opposite types of decoherence,” Physical Review A, vol. 70, Article ID 010501, 2004. View at Publisher · View at Google Scholar · View at Scopus
  163. P. Zanardi, “Symmetrizing evolutions,” Physics Letters A, vol. 258, pp. 77–82, 1999. View at Google Scholar
  164. D. Vitali and P. Tombesi, “Using parity kicks for decoherence control,” Physical Review A, vol. 59, no. 6, pp. 4178–4186, 1999. View at Google Scholar · View at Scopus
  165. P. Facchi, S. Tasaki, S. Pascazio, H. Nakazato, A. Tokuse, and D. A. Lidar, “Control of decoherence: analysis and comparison of three different strategies,” Physical Review A, vol. 71, no. 2, Article ID 022302, 2005. View at Publisher · View at Google Scholar · View at Scopus
  166. Y. Nakamura, Y. A. Pashkin, T. Yamamoto, and J. S. Tsai, “Charge echo in a cooper-pair box,” Physical Review Letters, vol. 88, Article ID 047901, 2002. View at Google Scholar · View at Scopus
  167. W. K. Wootters, “Entanglement of formation of an arbitrary state of two qubits,” Physical Review Letters, vol. 80, pp. 2245–2248, 1998. View at Publisher · View at Google Scholar
  168. S. Fölling, F. Gerbier, A. Widera, O. Mandel, T. Gericke, and I. Bloch, “Spatial quantum noise interferometry in expanding ultracold atom clouds,” Nature, vol. 434, no. 7032, pp. 481–484, 2005. View at Publisher · View at Google Scholar · View at Scopus
  169. M. Yönaç, T. Yu, and J. H. Eberly, “Pairwise concurrence dynamics: a four-qubit model,” Journal of Physics B, vol. 40, no. 9, article no. S02, pp. S45–S59, 2007. View at Publisher · View at Google Scholar · View at Scopus
  170. M. Yönaç and J. H. Eberly, “Qubit entanglement driven by remote optical fields,” Optics Letters, vol. 33, no. 3, pp. 270–272, 2008. View at Publisher · View at Google Scholar · View at Scopus
  171. S. Maniscalco, F. Francica, R. L. Zaffino, N. Lo Gullo, and F. Plastina, “Protecting entanglement via the quantum zeno effect,” Physical Review Letters, vol. 100, no. 9, Article ID 090503, 2008. View at Publisher · View at Google Scholar · View at Scopus
  172. S. Natali and Z. Ficek, “Temporal and diffraction effects in entanglement creation in an optical cavity,” Physical Review A, vol. 75, no. 4, Article ID 042307, 2007. View at Publisher · View at Google Scholar · View at Scopus
  173. O. Kern and G. Alber, “Controlling quantum systems by embedded dynamical decoupling schemes,” Physical Review Letters, vol. 95, no. 25, Article ID 250501, 2005. View at Publisher · View at Google Scholar · View at Scopus
  174. G. Gordon, “Dynamical decoherence control of multi-partite systems,” Journal of Physics B, vol. 42, Article ID 223001, 2009. View at Google Scholar
  175. R. Raussendorf and H. J. Briegel, “A one-way quantum computer,” Physical Review Letters, vol. 86, no. 22, pp. 5188–5191, 2001. View at Publisher · View at Google Scholar · View at Scopus
  176. J. Clausen, G. Bensky, and G. Kurizki, “Bath-optimized minimal-energy protection of quantum operations from decoherence,” Physical Review Letters, vol. 104, no. 4, Article ID 040401, 2010. View at Publisher · View at Google Scholar · View at Scopus
  177. S. Haroche and J. M. Raimond, Exploring the Quantum: Atoms, Cavities, and Photons, Oxford University Press, 2006.
  178. N. Erez, G. Gordon, M. Nest, and G. Kurizki, “Thermodynamic control by frequent quantum measurements,” Nature, vol. 452, no. 7188, pp. 724–727, 2008. View at Publisher · View at Google Scholar · View at Scopus
  179. G. Gordon, D. D. Bhaktavatsala Rao, and G. Kurizki, “Equilibration by quantum observation,” New Journal of Physics, vol. 12, Article ID 053033, 2010. View at Publisher · View at Google Scholar · View at Scopus
  180. H. Häffner, W. Hänsel, C. F. Roos et al., “Scalable multiparticle entanglement of trapped ions,” Nature, vol. 438, no. 7068, pp. 643–646, 2005. View at Publisher · View at Google Scholar · View at Scopus
  181. C. Langer, R. Ozeri, J. D. Jost et al., “Long-lived qubit memory using atomic ions,” Physical Review Letters, vol. 95, no. 6, Article ID 060502, 2005. View at Publisher · View at Google Scholar · View at Scopus
  182. J. Cai, G. G. Guerreschi, and H. J. Briegel, “Quantum control and entanglement in a chemical compass,” Physical Review Letters, vol. 104, no. 22, Article ID 220502, 2010. View at Publisher · View at Google Scholar · View at Scopus
  183. T. Scholak, F. De Melo, T. Wellens, F. Mintert, and A. Buchleitner, “Efficient and coherent excitation transfer across disordered molecular networks,” Physical Review E, vol. 83, no. 2, Article ID 021912, 2011. View at Publisher · View at Google Scholar · View at Scopus
  184. A. N. Pechen and D. J. Tannor, “Are there traps in quantum control landscapes?” Physical Review Letters, vol. 106, no. 12, Article ID 120402, 2011. View at Publisher · View at Google Scholar · View at Scopus
  185. G. Gordon, G. Kurizki, and D. A. Lidar, “Optimal dynamical decoherence control of a qubit,” Physical Review Letters, vol. 101, no. 1, Article ID 010403, 2008. View at Publisher · View at Google Scholar · View at Scopus
  186. C. Dankert, Efficient Simulation of Random Quantum States and Operators [M.S. thesis], University of Waterloo, Ontario, Canada, 2005.
  187. M. J. Storcz, U. Hartmann, S. Kohler, and F. K. Wilhelm, “Intrinsic phonon decoherence and quantum gates in coupled lateral quantum-dot charge qubits,” Physical Review B, vol. 72, no. 23, Article ID 235321, 2005. View at Publisher · View at Google Scholar · View at Scopus
  188. G. S. Uhrig, “Keeping a quantum bit alive by optimized π-pulse sequences,” Physical Review Letters, vol. 98, Article ID 100504, 2007. View at Google Scholar
  189. W.-J. Kuo and D. A. Lidar, “Quadratic dynamical decoupling: universality proof and error analysis,” Physical Review A, vol. 84, no. 4, Article ID 042329, 2011. View at Publisher · View at Google Scholar · View at Scopus
  190. H. P. Breuer and F. Petruccione, The Theory of Open Quantum Systems, Oxford University Press, Oxford, UK, 2002.
  191. N. Erez, G. Gordon, M. Nest, and G. Kurizki, “Thermodynamic control by frequent quantum measurements,” Nature, vol. 452, no. 7188, pp. 724–727, 2008. View at Publisher · View at Google Scholar · View at Scopus
  192. T. Jahnke and G. Mahler, “Effective environments: preparation of stationary states with inverse temperature ranging from positive to negative values,” Physical Review E, vol. 84, no. 1, Article ID 011129, 2011. View at Publisher · View at Google Scholar · View at Scopus
  193. A. E. Allahverdyan, K. V. Hovhannisyan, D. Janzing, and G. Mahler, “Thermodynamic limits of dynamic cooling,” Physical Review E, vol. 84, no. 4, Article ID 041109, 2011. View at Publisher · View at Google Scholar · View at Scopus
  194. G. Gordon and G. Rigolin, “Generalized teleportation protocol,” Physical Review A, vol. 73, no. 4, Article ID 042309, 2006. View at Publisher · View at Google Scholar · View at Scopus
  195. G. Gordon and G. Rigolin, “Generalized quantum-state sharing,” Physical Review A, vol. 73, no. 6, Article ID 062316, 2006. View at Publisher · View at Google Scholar · View at Scopus
  196. G. Gordon and G. Rigolin, “Generalized quantum telecloning,” European Physical Journal D, vol. 45, no. 2, pp. 347–353, 2007. View at Publisher · View at Google Scholar · View at Scopus
  197. I. Almog, Y. Sagi, G. Gordon, G. Bensky, G. Kurizki, and N. Davidson, “Direct measurement of the system-environment coupling as a tool for understanding decoherence and dynamical decoupling,” Journal of Physics B, vol. 44, no. 15, Article ID 154006, 2011. View at Publisher · View at Google Scholar · View at Scopus
  198. G. Gordon, D. D. Bhaktavatsala Rao, and G. Kurizki, “Equilibration by quantum observation,” New Journal of Physics, vol. 12, Article ID 053033, 2010. View at Publisher · View at Google Scholar · View at Scopus
  199. M. J. Biercuk, H. Uys, A. P. VanDevender, N. Shiga, W. M. Itano, and J. J. Bollinger, “Optimized dynamical decoupling in a model quantum memory,” Nature, vol. 458, no. 7241, pp. 996–1000, 2009. View at Publisher · View at Google Scholar · View at Scopus
  200. G. Kurizki, A. G. Kofman, and V. Yudson, “Resonant photon exchange by atom pairs in high-Q cavities,” Physical Review A, vol. 53, no. 1, pp. R35–R38, 1996. View at Google Scholar · View at Scopus
  201. C. Marr, A. Beige, and G. Rempe, “Entangled-state preparation via dissipation-assisted adiabatic passages,” Physical Review A, vol. 68, no. 3, Article ID 033817, 2003. View at Google Scholar · View at Scopus
  202. A. Mandilara, V. M. Akulin, M. Kolar, and G. Kurizki, “Control of multiatom entanglement in a cavity,” Physical Review A, vol. 75, no. 2, Article ID 022327, 2007. View at Publisher · View at Google Scholar · View at Scopus