Physics – Quantum Physics
Scientific paper
2009-10-02
Journal of Physics A: Mathematical and Theoretical, vol. 43, page 132001 (2010)
Physics
Quantum Physics
5 pages, no figures
Scientific paper
10.1088/1751-8113/43/13/132001
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.
Pasini Stefano
Uhrig Götz S.
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