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A Qutrit in Ultracold Rubidium-87
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- Author / Creator
- Lindon, Joseph M.
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Most quantum computers are based on elements with many addressable states, yet restrict themselves to a two-level subset, a qubit. In principle, more states could be used in each element to form a d-dimensional qudit, increasing the Hilbert space dimension and thus the computational power of the device. A qutrit is a three-level qudit, and is a natural first step to working with more dimensions.
Universal quantum computers require arbitrary single-qudit unitary gates with high fidelity of control. Commonly, there are some couplings between levels that are more difficult to control in a quantum system than others, for example, if they are forbidden transitions by dipole selection rules, if they have a resonance frequency far off from the other transitions, or if the coupling is degenerate with another coupling and thus cannot be controlled in isolation.
In this work, we demonstrate full unitary control on an ensemble qutrit of ultracold Rubidium-87. We also demonstrate a method for performing rotations between levels which are not otherwise convenient to couple because of degeneracies. We perform the quantum Fourier transform on the qutrit with and without the synthesized coupling and find similar final state fidelities with each method. The dominant error mechanism causes loss of purity in the qutrit, and our analysis suggests this may be caused by inhomogeneity in the dipole trap.
Our work is directly applicable to more conventional quantum platforms, including superconducting qubits, trapped-ion qubits, and neutral single-atom qubits.
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- Graduation date
- Spring 2024
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- Type of Item
- Thesis
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- Degree
- Master of Science
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- License
- This thesis is made available by the University of Alberta Libraries with permission of the copyright owner solely for non-commercial purposes. This thesis, or any portion thereof, may not otherwise be copied or reproduced without the written consent of the copyright owner, except to the extent permitted by Canadian copyright law.