Exact Results on Dynamical Decoupling by $π$-Pulses in Quantum Information Processes

Details Exact Results on Dynamical Decoupling by $π$-Pulses in Quantum Information Processes Exact Results on Dynamical Decoupling by $π$-Pulses in Quantum Information Processes

2008-03-10

arxiv.org/abs/0803.1427v2

New Journal of Physics, vol 10, page 083024 (2008)

Physics

Quantum Physics

12 pages and 3 figures

Scientific paper

10.1088/1367-2630/10/8/083024

The aim of dynamical decoupling consists in the suppression of decoherence by appropriate coherent control of a quantum register. Effectively, the interaction with the environment is reduced. In particular, a sequence of $\pi$ pulses is considered. Here we present exact results on the suppression of the coupling of a quantum bit to its environment by optimized sequences of $\pi$ pulses. The effect of various cutoffs of the spectral density of the environment is investigated. As a result we show that the harder the cutoff is the better an optimized pulse sequence can deal with it. For cutoffs which are neither completely hard nor very soft we advocate iterated optimized sequences.

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