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Efficient Coherent Control by Optimized Sequences of Pulses of Finite Duration TeX Export

(19 Jun 2009)

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Reliable long-time storage of arbitrary quantum states is a key element for quantum information processing. In order to dynamically decouple a spin or quantum bit from a dephasing environment, we introduce an optimized sequence of $N$ control pulses of finite durations $τ\pp$ and finite amplitudes. The properties of this sequence of length $T$ stem from a mathematically rigorous derivation. Corrections occur only in order $T^N+1$ and $τ\pp^3$ without mixed terms such as $T^Nτ\pp$ or $T^Nτ\pp^2$. Based on existing experiments, a concrete setup for the verification of the properties of the advocated realistic sequence is proposed.


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