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Bulletin of the American Physical Society

Preparation and detection of a $^{137}$Ba$^{+}$ hyperfine qubit

Matthew Dietrich, R. Bowler, Nathan Kurz, V. Mirgon, J. Pirtle, J.S. Salacka, Guo‐Jiun Shu, B. B. Blinov

Published May 28, 2008• 0 citations
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Preparation and detection of a 137^{137}137Ba+^{+}+ hyperfine qubit
Experimental demonstration of high fidelity 133{}^{133}133Ba+^++ hyperfine qubits
High-fidelity operation of a radioactive trapped-ion qubit, 133^{133}133Ba+^++
133^{133}133Ba+^++ has been identified as an attractive ion for quantum information processing due to the unique combination of its spin-1/2 nucleus, visible wavelength electronic transitions, and long D-state lifetimes ($\\tau\\sim 1 min).Usingamicrogramsourceofradioactivematerial,wetrapandlaser−coolthesynthetictextitA=133radioisotopeofbariumII(1~min). Using a microgram source of radioactive material, we trap and laser-cool the synthetic \\textit{A} = 133 radioisotope of barium II (1 min).Usingamicrogramsourceofradioactivematerial,wetrapandlaser−coolthesynthetictextitA=133radioisotopeofbariumII(\\tau_{1/2} \\approx 10.5 yr)inaradio−frequencyiontrap.Todemonstratehighfidelityqubitoperations,anumberofunknownstateenergieswereneeded.Wemeasuretheisotopeshiftandhyperfinestructureofthe6~yr) in a radio-frequency ion trap. To demonstrate high fidelity qubit operations, a number of unknown state energies were needed. We measure the isotope shift and hyperfine structure of the 6 yr)inaradio−frequencyiontrap.Todemonstratehighfidelityqubitoperations,anumberofunknownstateenergieswereneeded.Wemeasuretheisotopeshiftandhyperfinestructureofthe6^2PPP_{1/2}\\leftrightarrow 5^2DDD_{3/2}$ electronic transition needed for laser cooling, state preparation, and state detection of the clock-state hyperfine and optical qubits. For high-fidelity operations with electron shelving, we report measurements of the 62^22P3/2_{3/2}3/2​ and 525^252D5/2_{5/2}5/2​ hyperfine splittings, as well as the~62^22P3/2 leftrightarrow 62_{3/2}~\\leftrightarrow~6^23/2​ leftrightarrow 62S1/2_{1/2}1/2​ and ~62^22P3/2 leftrightarrow 52_{3/2}~\\leftrightarrow~5^23/2​ leftrightarrow 52D5/2_{5/2}5/2​ transition frequencies. Using these transitions, we demonstrate high-fidelity \\ba \\ hyperfine qubit manipulation with electron shelving detection to benchmark qubit state preparation and measurement (SPAM). Using single-shot, threshold discrimination, we measure an average SPAM fidelity of mathcalF=0.99971(3)\\mathcal{F} = 0.99971(3)mathcalF=0.99971(3), a factor of approx\\approxapprox 2 improvement over the best reported performance of any qubit.Finally, we report the 62^22P1/2leftrightarrow52_{1/2}\\leftrightarrow 5^21/2​leftrightarrow52D3/2_{3/2}3/2​ electronic transition isotope shift for the rare \\textit{A} = 130 and 132 barium nuclides, completing the spectroscopic characterization necessary for laser cooling all long-lived barium II isotopes.
Ultra-High Fidelity Operation of the 133^{133}133Ba+^++ qubit
Quantum state preparation for trapped-ion qubits often relies on high-quality circularly polarized light, which may be difficult to achieve with chip-based integrated optics technology. We propose and implement a hybrid optical and microwave scheme for intermediate-field hyperfine qubits which instead relies on frequency selectivity. Experimentally, we achieve 99.94 % fidelity for linearly polarized ( σ + / σ − ) light, using Ca + 43 at 28.8 mT. We find that the fidelity remains above 99.8 % for a mixture of all polarizations ( σ + / σ − / π ) . We calculate that the method is capable of 99.99 % fidelity in Ca + 43 , and even higher fidelities in heavier ions such as Ba + 137 . Published by the American Physical Society 2024