Efficient Coherent Control by Optimized Sequences of Pulses of Finite Duration

Details Efficient Coherent Control by Optimized Sequences of Pulses of Finite Duration Efficient Coherent Control by Optimized Sequences of Pulses of Finite Duration

2009-06-19

arxiv.org/abs/0906.3605v2

New Journal of Physics 12, 045001 (2010)

Physics

Quantum Physics

8 pages, 1 figure

Scientific paper

10.1088/1367-2630/12/4/045001

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 $\tau\pp$ 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 $\tau\pp^3$ without mixed terms such as $T^N\tau\pp$ or $T^N\tau\pp^2$. Based on existing experiments, a concrete setup for the verification of the properties of the advocated realistic sequence is proposed.

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