Quantum operation for a one-qubit system under a non-Markovian environment

Shibei Xue, Jing Zhang, Re-Bing Wu, Chunwen Li, Tzyh‐Jong Tarn · Journal of Physics B Atomic Molecular and Optical Physics · 2011

This paper introduces a simple alternating-current (AC) control strategy to perform quantum state manipulations under non-Markovian noise. A genetic algorithm is adopted to optimize the parameters of the AC control, which can be further used to fulfil one-qubit quantum operations at a given final time. Theoretical analysis and simulations show that our method works almost equally well for 1/ f noise, ohmic, sub-ohmic and super-ohmic noise, which demonstrates the robustness of our strategy for noise with various spectra. In comparison with the Markovian cases, our method is more suitable to be used to suppress non-Markovian noise.

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