Phonon effects on the dynamics and fidelity of two-qubit gates using trapped Rydberg ions
Ultra-cold 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 two-body interactions such as magnetic field fluctuations. The dynamics and intrinsic fidelity of the cont...
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| Format: | Thesis (University of Nottingham only) |
| Language: | English |
| Published: |
2022
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| Online Access: | https://eprints.nottingham.ac.uk/69231/ |
| _version_ | 1848800547147087872 |
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| author | Aderiye, Phileo |
| author_facet | Aderiye, Phileo |
| author_sort | Aderiye, Phileo |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | Ultra-cold 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 two-body interactions such as magnetic field fluctuations. The dynamics and intrinsic fidelity of the controlled-Z 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 two-qubit 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. |
| first_indexed | 2025-11-14T20:53:17Z |
| format | Thesis (University of Nottingham only) |
| id | nottingham-69231 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T20:53:17Z |
| publishDate | 2022 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-692312022-08-02T04:40:37Z https://eprints.nottingham.ac.uk/69231/ Phonon effects on the dynamics and fidelity of two-qubit gates using trapped Rydberg ions Aderiye, Phileo Ultra-cold 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 two-body interactions such as magnetic field fluctuations. The dynamics and intrinsic fidelity of the controlled-Z 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 two-qubit 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. 2022-08-02 Thesis (University of Nottingham only) NonPeerReviewed application/pdf en cc_by https://eprints.nottingham.ac.uk/69231/1/Phileo_Aderiye_Thesis_Final_Corrected.pdf Aderiye, Phileo (2022) Phonon effects on the dynamics and fidelity of two-qubit gates using trapped Rydberg ions. MSc(Res) thesis, University of Nottingham. Rydberg ions Phonon effects Two-qubit gates |
| spellingShingle | Rydberg ions Phonon effects Two-qubit gates Aderiye, Phileo Phonon effects on the dynamics and fidelity of two-qubit gates using trapped Rydberg ions |
| title | Phonon effects on the dynamics and fidelity of two-qubit gates using trapped Rydberg ions |
| title_full | Phonon effects on the dynamics and fidelity of two-qubit gates using trapped Rydberg ions |
| title_fullStr | Phonon effects on the dynamics and fidelity of two-qubit gates using trapped Rydberg ions |
| title_full_unstemmed | Phonon effects on the dynamics and fidelity of two-qubit gates using trapped Rydberg ions |
| title_short | Phonon effects on the dynamics and fidelity of two-qubit gates using trapped Rydberg ions |
| title_sort | phonon effects on the dynamics and fidelity of two-qubit gates using trapped rydberg ions |
| topic | Rydberg ions Phonon effects Two-qubit gates |
| url | https://eprints.nottingham.ac.uk/69231/ |