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Encoding and manipulating two qubits inside a single Rydberg atom

(2024)

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Abstract
This Master thesis explores an innovative two-qubit architecture within a single calcium Rydberg atom, using the electronic states of the valence electrons to encode the qubits. One qubit is encoded in levels of the ion core of a Rydberg atom, while the other utilizes Rydberg levels. The primary focus of this research is the simulation and performance analysis of a CNOT gate, which is shown to be feasible with high fidelity and efficient gate times, using the Rydberg qubit as the control and the core qubit as the target. Additionally, the study investigates an alternative architecture involving dressed states, highlighting the trade-offs between gate speed and fidelity in the presence of relaxation processes. Projective measurements and single-qubit gates on both qubits are also examined to propose a system that meets the key requirements for quantum computing. This thesis theoretically demonstrates the viability of this two-qubit architecture for quantum computing and provides a strong foundation for subsequent experimental implementations. Future directions and potential improvements are also briefly outlined, with the hope of inspiring continued research in this promising area.