Kaveh Khodjasteh1, Daniel A. Lidar2, and Lorenza Viola1 1Department of Physics and Astronomy, Dartmouth College, 6127 Wilder Laboratory, Hanover, New Hampshire 03755, USA 2Departments of Chemistry, Electrical Engineering, and Physics, and Center for Quantum Information Science & Technology, University of Southern California, Los Angeles, California 90089, USA
Received 14 August 2009; revised 30 October 2009; published 4 March 2010
We show that open-loop dynamical control techniques may be used to synthesize unitary transformations in open quantum systems in such a way that decoherence is perturbatively compensated for to a desired (in principle arbitrarily high) level of accuracy, which depends only on the strength of the relevant errors and the achievable rate of control modulation. Our constructive and fully analytical solution employs concatenated dynamically corrected gates, and is applicable independently of detailed knowledge of the system-environment interactions and environment dynamics. Explicit implications for boosting quantum gate fidelities in realistic scenarios are addressed.