We analyze the effects of hyperfine interactions on coherent control experiments in triple quantum dots. By exploiting Hamiltonian symmetries and the SU(3) structure of the triple-dot system under pseudoexchange and longitudinal hyperfine couplings, we provide analytic formulas for the hyperfine decay of triple-dot Rabi and dephasing experiments.
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Thaddeus D. Ladd (2012) studied this question.
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