Physical Review A - Atomic, Molecular, and Optical Physics
Dynamically corrected gates are extended to non-Markovian open quantum systems where limitations on the available controls and/or the presence of control noise make existing analytical approaches unfeasible. A computational framework for the synthesis of dynamically corrected gates is formalized that allows sensitivity against non-Markovian decoherence and control errors to be perturbatively minimized via numerical search, resulting in robust gate implementations. Explicit sequences for achieving universal high-fidelity control in a singlet-triplet spin qubit subject to realistic system and control constraint are provided, which simultaneously cancel to the leading order the dephasing due to non-Markovian nuclear-bath dynamics and voltage noise affecting the control fields. Substantially improved gate fidelities are predicted for current laboratory devices.
Khodjasteh, Kaveh; Bluhm, Hendrik; and Viola, Lorenza, "Automated Synthesis of Dynamically Corrected Quantum Gates" (2012). Open Dartmouth: Faculty Open Access Articles. 1916.