Optimized Dynamical Decoupling for Time Dependent Hamiltonians

Abstract

The validity of optimized dynamical decoupling (DD) is extended to analytically time dependent Hamiltonians. As long as an expansion in time is possible the time dependence of the initial Hamiltonian does not affect the efficiency of optimized dynamical decoupling (UDD, Uhrig DD). This extension provides the analytic basis for (i) applying UDD to effective Hamiltonians in time dependent reference frames, for instance in the interaction picture of fast modes and for (ii) its application in hierarchical DD schemes with $\pi$ pulses about two perpendicular axes in spin space. to suppress general decoherence, i.e., longitudinal relaxation and dephasing.

5 pages, no figures

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• Non-perturbative Dynamical Decoupling Control: A Spin Chain Model
• Universality proof and analysis of generalized nested Uhrig dynamical decoupling
• Extending quantum control of time-independent systems to time-dependent systems
• Color it, Code it, Cancel it: k-local dynamical decoupling from classical additive codes