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Quantum reservoir engineering and single qubit cooling

Abstract : Stabilizing a quantum system in a desired state has important implications in quantum information science. In control engineering, stabilization is usually achieved by the use of feedback. The closed-loop control paradigm consists of measuring the system in a non-destructive manner, analyzing in real-time the measurement output to estimate the dynamical state and finally, calculating a feedback law to stabilize the desired state. However, the rather short dynamical time-scales of most quantum systems impose important limitations on the complexity of real-time output signal analysis and retroaction. An alternative control approach for quantum state stabilization, bypassing a real-time analysis of output signal, is called reservoir engineering. In this paper, we start with a general description of quantum reservoir engineering. We then apply this method to stabilize the ground state (lowest energy state) of a single two-level quantum system. Applying the averaging theorem and some simple Lyapunov techniques, we prove the convergence of our proposed scheme. This scheme has recently been successfully implemented on a superconducting qubit and has led to a fast and reliable reset protocol for these qubits
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https://hal.inria.fr/hal-00924551
Contributor : Mazyar Mirrahimi <>
Submitted on : Monday, January 6, 2014 - 10:57:29 PM
Last modification on : Monday, December 10, 2018 - 3:24:05 PM

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Mazyar Mirrahimi, Zaki Leghtas, Uri Vool. Quantum reservoir engineering and single qubit cooling. NOLCOS - 9th IFAC Symposium on Nonlinear Control Systems, Sep 2013, Toulouse, France. pp.424-429, ⟨10.3182/20130904-3-FR-2041.00072⟩. ⟨hal-00924551⟩

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