oscillator. Extensions to other cases are underway. In the first instance we anticipate that in- creasing the environment size will increase the participation and effectiveness of overlapping resonances in decoherence control. Acknowledgments : This work was supported by NSERC and by the Centre for Quantum Information and Quantum Control, University of Toronto. 11 [1] M. Shapiro and P. Brumer, Principles of the Quantum Control of Molecular Processes , Wiley, New York, 2003. [2] S. A. Rice and M. Zhao, Optical Control of Molecular Dynamics , Wiley, New York, 2000. [3] E. Joos, H. D. Zeh, C. Kiefer, D. Guilini, J. Kupsch and L. O. Stamatescu, Decoherence and the Appearance of a Classical World in Quantum Theory, 2 nd ed., .Springer, Berlin, 2003. [4] M. Schlosshauer, Decoherence and the Quantum-to-Classical Transition , Springer, Berlin, 2007. [5] See, e.g. P. Nuernberger, G. Vogt, T. Brixner, G. Gerber, PhysChemChemPhys 9, 2470 (2007) for a general review. For some specific examples see K. Hoki and P. Brumer, Phys. Rev. Lett. 95, 168305 (2005); M. Spanner, I. Franco and P. Brumer, Phys. Rev. A 80, 053402 (2009). [6] M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information , Cambridge University Press, Cambridge, 2000. [7] L. Viola and S. Lloyd, Phys. Rev. A 58 , 2733 (1998); L. Viola, E. Knill, and S. Lloyd, Phys. Rev. Lett. 82 , 2417 (1999). [8] D. A. Lidar, I. L. Chuang, and K. B. Whaley, Phys. Rev. Lett. 81 , 2594 (1998). [9] W. H. Zurek, S. Habib and J. P. Paz, Phys. Rev. Lett. 70 , 1187 (1993). [10] W. H. Zurek, Prog. Theor. Phys. 89 , 281 (1993). [11] A. Pattanayak and P. Brumer, Phys. Rev. Lett. 79 , 4131 (1997). [12] P. S. Christopher, M. Shapiro, and P. Brumer, J. Chem. Phys. 123 , 064313 (2005); 124 , 184107 (2006); 125 , 124310 (2006); D. Gerbasi, A. S. Sanz, P. S. Christopher, M. Shapiro and P. Brumer, ibid. 126 , 124307 (2007). [13] E.g., Ph. Jacquod and C. Petitjean, Adv. Phys. 58, 67 (2009). [14] See, for example, ”The Spin-Boson Problem: From Energy Transfer to Quantum Computing”, Chemical Physics, Vol. 296, Issues 2-3 (2004)