Speaker
Description
Controlling magnetic (Zeeman) sublevels in large-spin atomic hyperfine manifolds enables their use as high-dimensional qudits for quantum information processing. SU(d) control of Zeeman qudits have been demonstrated using radiofrequency (RF)-driven optimal SU(2) rotations. However, RF-based controls are difficult to implement on systems with small Zeeman splittings, and individual addressing remains challenging. Laser-driven qudit operations are a clear way around these challenges. Existing laser-driven qudit schemes are limited by the weak effective couplings in multiphoton interaction and complications from spectrally unresolved Zeeman energy structures. In our work, we theoretically and numerically investigate SU(d) universal control of Zeeman qudits in an efficient single continuous pulse using the two-photon stimulated Raman transitions without spectrally resolved individual qudit states. We demonstrate universal control capabilities under two sets of experimentally feasible laser parameters. As a concrete example, we apply this control scheme to a d = 15 Hilbert space spanned by the Zeeman sublevels of an F = 7 hyperfine manifold, and illustrate arbitrary qudit state preparations with fidelities as high as 0.99. This scheme is broadly applicable to other systems with different quantum numbers.
| Academic level | PhD student |
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