Quantum state engineering and stabilization

Abstract : This thesis tackles the problem of preparing and stabilizing highly non classical states of quantum systems. We consider specific models based on current experiments in cavity quantum electrodynamics, Josephson circuits and ultra-fast coherent quantum control. The problem is posed in the framework of control theory where we search for a control law which prepares or stabilizes a desired target state.Of particular interest to us are target states with no classical analog: superposition and entangled states. More generally, we propose a scheme for the stabilization of a manifold of quantum states, thus introducing some new ideas for autonomous quantum error correction in a cavity. Close collaborations with experimentalists helped us in the design of control protocols which are readily employable in the laboratory. Experimental demonstrations are currently being implemented and preliminary measurements are in good agreement with the theory introduced in this thesis.
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Zaki Leghtas. Quantum state engineering and stabilization. Other [cs.OH]. Ecole Nationale Supérieure des Mines de Paris, 2012. English. ⟨NNT : 2012ENMP0024⟩. ⟨pastel-00740115⟩

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