In the presence of a magnetic field, hyperfine clock qubits can acquire a vector differential light shift that can be tuned via polarization to suppress the total differential light shift of high-power, off-resonant laser light. We experimentally measure this “magic” polarization condition, suppressing differential light shifts in both the ${}^{2}S_{1/2}$ ground and ${}^{2}F_{7/2}^o$ metastable clock qubits of ${}^{171}\mathrm{Yb}^{+}$. We present calculations of the minimum bias magnetic fields required to suppress differential light shifts in the ground-state clock qubits of commonly trapped-ion species, finding that they are below the strengths of fields already typically present in experiments. We further present methods for metastable clock-qubit control in ${}^{171}\mathrm{Yb}^{+}$, demonstrating a state preparation and measurement infidelity of $2.9_{-1.5}^{+3.0}\times {10}^{-4}$ ($-35\pm 4\mathrm{dB}$).

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• Coherent control
• Stark effect
• Trapped ions
• Polarizability
• Hartree-Fock methods
• Random phase approximation