Robust Control Performance for Open Quantum Systems
نویسندگان
چکیده
Robust performance of control schemes for open quantum systems is investigated under classical uncertainties in the generators dynamics and nonclassical due to decoherence initial state preparation errors. A formalism developed measure based on transmission a dynamic perturbation or error error. This makes it possible apply tools from robust such as structured singular value analysis. difficulty arising singularity closed-loop Bloch equations overcome by introducing #-inversion lemma, specialized version matrix inversion lemma. Under some conditions, this guarantees continuity at s = 0. Additional difficulties occur when symmetry gives rise multiple open-loop poles, which symmetry-breaking unfold into single eigenvalues. The concepts are applied subject pure general dissipative system example two qubits leaky cavity laser driving fields spontaneous emission. index, steady-state entanglement quantified concurrence, nonlinear function state, introduced. Simulations confirm conflict between entanglement, its log-sensitivity stability margin decoherence.
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ژورنال
عنوان ژورنال: IEEE Transactions on Automatic Control
سال: 2022
ISSN: ['0018-9286', '1558-2523', '2334-3303']
DOI: https://doi.org/10.1109/tac.2022.3181249