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Effects of stochastic noise on dynamical decoupling procedures

, and . (2014)cite arxiv:1405.1852Comment: 15 pages, 6 figures.
DOI: 10.1103/PhysRevA.89.062327

Abstract

Dynamical decoupling is an important tool to counter decoherence and dissipation effects in quantum systems originating from environmental interactions. It has been used successfully in many experiments; however, there is still a gap between fidelity improvements achieved in practice compared to theoretical predictions. We propose a model for imperfect dynamical decoupling based on a stochastic Ito differential equation which could explain the observed gap. We discuss the impact of our model on the time evolution of various quantum systems in finite- and infinite-dimensional Hilbert spaces. Analytical results are given for the limit of continuous control, whereas we present numerical simulations and upper bounds for the case of finite control.

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Effects of stochastic noise on dynamical decoupling procedures

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