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A decoherence-free mode lies at the heart of the preservation of quantum information against external noise. In this paper we propose a direct method for the analysis and synthesis of a decoherence-free mode in quantum linear systems. First, we derive a necessary condition for the existence of a decoherence-free mode. Then, the synthesis of the decoherence-free mode via Hamiltonian control is discussed.
This paper presents a sampled-data design approach for decoherence control of a single qubit with operator errors. The required control performance is defined using a sliding mode domain and the control law is designed offline and then utilized online with a single qubit subject to decoherence with operator errors. Three cases are analyzed in detail including approximate amplitude damping decoherence,...
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