Rabi- and Blockade-Error-Resilient All-Geometric Rydberg Quantum Gates

Su, S. L.; Sun, Li Na; Liu, B. J.; Yan, L. L.; Yung, M. H.; Li, W.; Feng, M.

Abstract

We propose a nontrivial two-qubit gate scheme in which Rydberg atoms are subject to designed pulses resulting from geometric evolution processes. By utilizing hybrid robust nonadiabatic and adiabatic geometric operations on the control atom and target atom, respectively, we improve the robustness of the two-qubit Rydberg gate against Rabi control errors as well as blockade errors in comparison with the conventional two-qubit blockade gate. Numerical results with the current state-of-the-art experimental parameters corroborates the above mentioned robustness. We also evaluate the influence induced by the motion-induced dephasing and the dipole-dipole interaction and imperfection-excitation-induced leakage errors, which both could decrease the gate fidelity. Our scheme provides a promising route towards systematic control error (Rabi error) as well as blockade-error-resilient geometric quantum computation on neutral atom system.

Citation

Su, S. L., Sun, L. N., Liu, B. J., Yan, L. L., Yung, M. H., Li, W., & Feng, M. (2023). Rabi- and Blockade-Error-Resilient All-Geometric Rydberg Quantum Gates. Physical Review Applied, 19(4), Article 044007. https://doi.org/10.1103/PhysRevApplied.19.044007

• Journal Article Type: Article
• Acceptance Date: Feb 6, 2023
• Online Publication Date: Apr 4, 2023
• Publication Date: 2023-04
• Deposit Date: Feb 6, 2023
• Publicly Available Date: Apr 4, 2023
• Journal: Physical Review Applied
• Electronic ISSN: 2331-7019
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 19
• Issue: 4
• Article Number: 044007
• DOI: https://doi.org/10.1103/PhysRevApplied.19.044007
• Keywords: Geometric & topological phases; Quantum computation; Quantum control; Quantum gates; Quantum information with atoms & light; Rydberg atoms & molecules; Rabi model
• Public URL: https://nottingham-repository.worktribe.com/output/17074093
• Publisher URL: https://journals.aps.org/prapplied/abstract/10.1103/PhysRevApplied.19.044007