Soft-Pulse Dynamical Decoupling with Markovian Decoherence

Details Soft-Pulse Dynamical Decoupling with Markovian Decoherence Soft-Pulse Dynamical Decoupling with Markovian Decoherence

2009-07-07

arxiv.org/abs/0907.1315v2

Physics

Quantum Physics

New version contains minor content clarifications

Scientific paper

We consider the effect of broadband decoherence on the performance of refocusing sequences, having in mind applications of dynamical decoupling in concatenation with quantum error correcting codes as the first stage of coherence protection. Specifically, we construct cumulant expansions of effective decoherence operators for a qubit driven by a pulse of a generic symmetric shape, and for several sequences of $\pi$- and $\pi/2$-pulses. While, in general, the performance of soft pulses in decoupling sequences in the presence of Markovian decoherence is worse than that of the ideal $\delta$-pulses, it can be substantially improved by shaping.

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