Phonon effects on the dynamics and fidelity of twoqubit gates using trapped Rydberg ionsTools Aderiye, Phileo (2022) Phonon effects on the dynamics and fidelity of twoqubit gates using trapped Rydberg ions. MSc(Res) thesis, University of Nottingham.
AbstractUltracold Rydberg ions confined in a linear trap are presented as a possible solution to some of the major problems causing infidlities currently presented in quantum computing gates e.g. weak twobody interactions such as magnetic field fluctuations. The dynamics and intrinsic fidelity of the controlledZ gate are simulated using the Fock state gg, 00i (where g and 0 denote the groundstates of the spin and phonon excitations respectively) of a twoqubit system, where the fidelity of the gate is found to be 0.9999472, satisfying the fidelity requirement for a scalable quantum computing gate of 0.9999. The same was done for phonon coherent states of the form gg, α, αi, where the displacement operator takes the form D(α) = exp(αa† − α ?a). It is shown, to obtain the fidelity needed for a reliable individual quantum gate of at least 0.97, the maximum value for alpha is αmax = 0.25; to obtain the fidelity needed for a scalable quantum gate of at least 0.9999, the maximum value for alpha is αmax = 0.0525.
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